Calculus question and answers for November 18, 2023
- Q A cell phone factory has a cost of production C (x) = 170x + 31900 and revenue function R(x) = 280x.What are the coordinates of the break-even point?x=Y =
- Q Without solving, determine whether the ordered pair (-3,-3) is a solution to the system of equations. Click either "Solution" or "Not Solution" to enter your choice then click "Enter Step"...
- Q Give a limit expression that describes the right end behavior of the function. Use - ? or ? where appropriate.lim x?? 9x+5/2x - 3Select the correct choice below and, if...
- Q Find each function value and limit. Use - ? or ?o where appropriate.f(x) = 3x-6x/6x?+3(A) f(-6)(B) f(- 12)(C) lim x?? f(x)(A) f(-6)=(Round to the nearest thousandth as needed.)(B) f(-12) =(Round...
- Q 2. (20 points) Given the vector field F(x, y) = (ye^sinx cos x, e^sinx) and the curve C with equation y -?ysin x = 0a)Show that is conservative and find...
- Q Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film...
- Q Determine the domain of the function of two variables f(x,y) = ?y - 9x. The domain is {(x,y)}. (Type an inequality. Use a comma to separate answers as needed. Use...
- Q In a right triangle,1/4 of the length of the longer leg is equal to 3/5 of the length of the shorter leg. What is the ratio of the length of...
- Q A car is purchased for $48,000. Each year it loses 20% of its value. After how many years will the car be worth $13,100 or less? (Use the calculator provided...
- Q cot (?) Suppose ? ? ? 3?/2.If tan (?)=, what are sin (?), cos (?), sec(?), csc (?), and cot (?)?Give exact answers for each trigonometric function.
- Q What is the range of the secant function?all real numbersall real numbers, except odd multiples of (90)?all real numbers greater than or equal to 1 or less than or equal...
- Q Find the exact value of the expression: sin(285)The final solution needs to be simplified for full credit.
- Q It is estimated that years from now the population of a city will be P(t)=10(60+3t) - 1600t.Step 2 of 2: Find the rate of change in population in 6 years.
- Q Find the area enclosed by the y-axis and the curve(a) x = t-t, y = 1 + e^-t
- Q Find the minimum and maximum values of z= 6x + 7y, if possible, for the following set of constraints.x+y?6-x+y?42x-y?10Select the correct choice below and, if necessary, fill in the answer...
- Q Solve the equation x - 2y = 7 for X given that y = 3x - 1 Enter the value of x below.
- Q What is the least common multiple of the numbers?24 and 30
- Q Solve the equation 4x - y = 3 for y given that x = 3 - 2y. Enter the value of y below.
- Q Solve the equation 3x - 4y = -16 for X given that y = 2x + 9. Enter the value for Xin the blank below.
- Q Given the function g(x) = 3^0.25x - 7, identify the correct description of the graph's transformation from the graph of its parent function. The graph of g(x) is a horizontal...
- Q Check all statements that are true.In both Euclidean and spherical geometry, through any point not on a given line there is a line parallel to the given line.In spherical geometry,...
- Q Suppose N = f(t) is the total number of inches of snow that fall in the first t days of January.Which of the statements below best explains the meaning of...
- Q Let the function f be defined by f(x) = 7x + 9.Then f(3) + f(9) =and f(3 + 9) =
- Q Compute the curl of the vector field F = e^z(i) + cos(x)j + 5ykcurl(F) =
- Q Let x be a continuous random variable over [a, b] with probability density function f. Then the median of the x-values is that number m for which ? f(x)dx=1/2 (a...
- Q The time of a telephone call (in minutes) to a certain town is a continuous random variable with a probability density function defined by f(x) = 3x^-4 for [1,? )....
- Q Solve the equation by expressing each side as a power of the same base. Enter the solution below.5^(4x-1) = 125
- Q If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height (in meters) after t seconds is h = 15t-1.86t.(a) What is...
- Q Na Find k such that the function is a probability density function over the given interval. Then write the probability density function.f(x) = k/x , [3,9] What is the value...
- Q Use the properties of logarithms to condense the expression to a single logarithm.3 log10 (c) +log10 (a)/3+log10 (b)/3
- Q The half-life of cesium-137 is 30 years. Suppose we have a 170 mg sample.(a) Find the mass (in mg) that remains after t years.
- Q A 3-oz serving of roasted, skinless chicken breast contains 130 Cal, 27 g of protein, 4 g of fat, 16 mg of calcium, and 65 mg of sodium. One-half cup...
- Q The enrollment at an elementary school is going to increase from 900 students to 3510 students. A parents' group is planning to increase the rectangular 200 ft by900 ft playground...
- Q A circular oil slick is expanding with radius, r in feet, at time t in hours given by r = 12t - 0.3t^2, for t in hours, 0 ? t...
- Q What is the greatest common factor of 10, 8, and 26?
- Q What does the point (2 + 1 / 4.8 , 5) represent in x = 8 (y - 5) + 2?directrixfocusaxis of symmetryvertex
- Q Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum ?f(ck)...
- Q Solve the equation. Enter the solution below.log3 (2x) - log3(x + 5) = 0
- Q Determine the solution set of the equation.log?x + log? (x-4) = 5Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
- Q Solve the equation. Enter the solution below.log3 (4x + 1) = 4
- Q Enter the simplified form of the expression. (When entering your answer, use symbol to denote an exponent. Do not enter any spaces in your answer.)(-3x-y4) (6xy)
- Q Solve the problem.In a certain memory experiment, subject A is able to memorize words at a rate given bydm/dt = -0.003t + 0.4t (words per minute).In the same memory experiment,...
- Q Solve the equation. Round the answer to two decimal places. Enter the value of k below.125 = 250e5kType your numeric answer and submit
- Q Let be an angle in quadrant III such that sin? = -12/13Find the exact values of sec? and cot?.
- Q An initial investment doubled in value after 30years. What annual interest rate, compoundedcontinuously, produced this return? Select theequation that results when solving this problem.
- Q Answer the following. (a) Find an angle between 0 and 2? that is coterminal with (b) Find an angle between 0 and 360 that is coterminal with - 120. Give...
- Q What is the range of the function g(x) = -2sec(3x + 4) + 1?
- Q Find the number of units that must be produced and sold in order to yield the maximumprofit, given the following equations for revenue and cost:R(x) = 60x-0.5xC(x) = 5x +...
- Q At the end of 20 years, an initial investment of $10,000 grows to $51,551.70. Use the continuous compounding formula to determine the annual rate of return. Write your answer in...
- Q A colony of bacteria grows exponentially according to the model P(t) = Poe^kt. If the number of bacteria doubles in three hours, what is the growth rate k? Express your...
- Q In 1990, the world forest cover was 4168 million hectares. In 2010, the world forest cover was 4033 million hectares. Write an exponential decay model in the form y =...
- Q A town of 500,000 people is struck by a devastating epidemic. The number of people infected after t days is modeled by P(t)=500,000/1+499e^-1.617t. How many people will be infected 4...
- Q A ball is thrown straight up with an initial velocity of 64 feet per second from the top of a building that is 80 ft tall. The height of the...
- Q The percentage of households in the United States that own a computer t years after 1997 can be modeled byP(t)=98.15525/(1+ 1.416105e^-0,1272t) . Round each answer to the nearest tenth.a. What...
- Q What is the center of (12.8, 5.7, 7.9, 1.3, 3.2, 2.8]? 5.62 4.45 11.55 4.22
- Q Find the linearization L(x) of the function at a. f(x) = e5x, a = 0 L(x) =
- Q The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles.A = lim...
- Q Use like bases to solve the exponential equation. 3^-4v-2 = 3^-v
- Q Determine the domain for the function of two variables h(x,y) = 4x e?(4+y)Choose the correct answer below.A. {(x,y) | y?0}B. {(x,y) | y?0}C. {(x,y) | y?-4}D. ((x,y) | y=-4}
- Q Determine the domain of the function of two variables f(x,y)=??y-x.The domain is ((x,y)
- Q In a recent year, companies spent a total of $87.6 billion on newspaper, television, and radio ads. The total amount spent on television and radio ads was only $2.8 billion...
- Q It takes Fena Tailoring 2 hr of cutting and 4 hr of sewing to make a tiered silk organza bridal dress. It takes 4 hr of cutting and 2 hr...
- Q The price-earnings ratio of a stock is given by R(P,E) = P/E where P is the price of the stock and E is the earnings per share. Recently, the price...
- Q Find fx and fy.f(x,y) = -8e^7x-2yfx(x,y) =fy(x,y) =
- Q Find an equation for the line perpendicular to 4x + 12y=60 and goes through the point ( 8, 4).Write your answer in the form y = mx + b.y =
- Q A trash company is designing an open-top, rectangular container that will have a volume of 1080 ft3. The cost of making the bottom of the container is $5 per square...
- Q The Ebbinghaus's Law of Forgetting states that if a task is learned at a performance level P0, then after a time interval t, the performance level P satisfies the relationship...
- Q Solve using Gaussian or Gauss-Jordan elimination.w + x + y + z = -63w+ 3x-3y-3z=-66w-3x+3y + z = -23w- x + 3y + 6z = -5Select the correct choice below...
- Q The inverse notation f-1 used in a pure mathematics problem is not always used when finding inverses of applied problems. Rather, the inverse of a function such as C=C(q) will...
- Q Find A-1, or explain why it does not exist.A[3 2]2 1Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A. A-=B. A-1 does...
- Q Give the sums of the following geometric series (or state that series is divergent).Leave your answers unsimplified.(a) 4 9 + 28 45 + 196 225 +...+ 4.7121 9.5121(b) 31 +...
- Q Determine the solution set for the equation.(x+12)+(y-16) = 0The solution set is
- Q Consider the following.5x8 + y = 6x(a) Find y' by implicit differentiation.y' =(b) Solve the equation explicitly for y and differentiate to get y' in terms of x.y' =(c) Check...
- Q Write the equation in the form (x-h)+(y-k) = c. Then, if the equation represents a circle, identify the center and radius. If the equation represents degenerate case, give the solution...
- Q Write the equation in the form (x-h)+(y-k) =c. Then, if the equation represents a circle, identify the center and radius. If the equation represents the degenerate case, give the solution...
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