Calculus question and answers for November 22, 2023
- Q Solve the following system of equations.3x + 3y + z = 17x-3y + 2z = -178x-2y+3z = 4Select the correct choice below and, if necessary, fill in the answer boxesto...
- Q Solve the system of equations.X-3y z = 6-x + 8y-4z = - 162x - 15y +7z = 30Select the correct choice below and fill in any answer boxes within your...
- Q The angle between 0 and 360 that is coterminal with the - 640 angle isdegrees.
- Q Find all vertical asymptotes, x=a, of the following function. For each value of a, evaluate lim f(x), lim f(x), and lim f(x). Use oo or- co whenX-ax-aappropriate.f(x)=x-9x+20x-6x+8OA. The vertical asymptote...
- Q Find the distance along an arc on the surface of the earth that subtends a central angle of 9 minutes (1 minute =1/60 degree). The radius of the earth is...
- Q William invested $2,300 in an account paying an interest rate of 2% compounded quarterly. Nolan invested $2,300 in an account paying an interest rate of 2(3/4)% compounded monthly. After 20...
- Q Find the limit at the indicated point, if it exists.a) f(x) = ( x-1)/(x^2+1), x = -1.b) f(x) = (x^2-3x-10)/(x+2), x = -2.
- Q The annual revenue earned by Walmart in the years from January 2000 to January 2014 can be approximated byR(t) = 176e?????? billion dollars per year (0 ? t ? 14),where...
- Q a1 a2 a3 [ 1 -1 -3] [a] [ -2 0 4] [b] [ -3 2 4] [c]can you find the identity matrix
- Q a) Convert 225? to radiansb) Convert 11?/6 to degrees
- Q One of the events at field day was the long jump. The lengths of 20 jumps are shown. If the mean is 7.0 cm and the standard deviation is 0.8...
- Q Find the limit using a graph.lim 1/(x-2)x?2+
- Q Find the limit algebraically.lim ( x^2-4x+3)/(x-1)x?1
- Q For 4-7, use the equation y = -3x + 2 to find the value of y at the given x values.4. x = 35. x = -5/36. x = 07....
- Q State where the power series is centered. ?? [(-1)^n (7n-1)/(7^n)n!]x^nn=1
- Q Solve each equation. Show or explain your reasoning.10^(x-2)= 1,0004.10? = 88Solve the equation e^t= 120. Then find the approximate value of the solution using a calculator.
- Q Use the power series1/1+x = ?? n=0 (-1)? x? | x | < 1to find a power series for the function, centered at 0.h(x) = x/x - 1 = 1/1...
- Q Liz borrowed $52,500 to purchase a home. The bank offered her an APR of 3.49% for a term length of 15 years. Excel calculates the monthly payment to be $375.06....
- Q Find a) the average rate of change of the function over the interval [3,3.01] and b) the instantaneous rate of change at x = 3.f(x)= x^2 + 2x-3
- Q An object moves along a horizontal path with a velocity v(t) = 2t, where v(t) is measured in meters per second.If the object has an initial position of x(0) =...
- Q Use the power series1/1+x = ?? n= ?? n=10 (-1)?x? , | x | < 1to find a power series for the function, centered at 0.f(x) = In(x + 1)...
- Q Simplify[(2i)]/8iEnter your answer in the box.
- Q Students in a classroom earned an ice cream reward for reaching their CCSS goal. 15 students ordered the single scoop cone, 5 ordered the kid scoop, and 3 ordered the...
- Q The equation of the ellipse that has a center at (6, 1), a focus at (10,1), and a vertex at(1, 1) is [ (x-c)^2/A^2] + [(y-D)^2/B^2]=1wherea)A=b)B=c)C=D)D=
- Q A circle has a radius of 3 inches. A) What is the diameter? B) What is the area of the circle? C) What is the circumference of the circle?A circle...
- Q Suppose s(t) = 8t - 2t on the interval (0,4). What is the distance traveled on [0, 4]?1) 02) 43) 84)16
- Q What is the median?What is the lower quartile ?What is the Upper quartile ?What is the minimum value?What is the maximum value?The above five values are called the
- Q Find the compositions.f(x) = 6x +9, g(x) = 9 - X(a) f? g(b) g? g(c) g? g
- Q The equation of the ellipse that has a center at (1,3), a focus at (4,3), and a vertex at (6,3), is (x - C)^2/A^2 + (y - D)^2/B^2 =1where,...
- Q Compute the average rate of change of f(x) = x 2x + 2 on the interval [1, 5).
- Q Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% interest for the loan. After 5 years how much interest will...
- Q Rewrite using sines and cosines: tan(y)csc(y).tan(y)csc(y) =1/cos(y)
- Q Find the following (if possible):5x/101 + 5x + 2 mod 991 = 5
- Q Find the complex zeros of f(x)=x +13x +57x+85.
- Q Suppose sin? = 3/5, cos?= 4/5sin(2?)=24/25cos(2?) =7/25
- Q The velocity of a particle on the time interval 0 ? t ? 3 is v(t) = sin(3?t), where v(t) is in cm/s. What is the average velocity for the...
- Q If f(x) = x + 2x, what's the average value of f(x) over the interval[(1, 3]?
- Q If f(x) = 4? , what formula will describe f(x)'s average value over the interval (-1, 3]?Don't evaluate the formula.If f(x) = x + 2x, what is the average value...
- Q Form a polynomial whose real zeros are -2, 2, 3 and that has a degree of 3. Use a leading coefficient of 1.
- Q Use the power series1/1+x = ?? n=0 (-1)? x? , Ixl < 1to determine a power series for the function, centered at 0,f(x) = 18/(x+1) = d/dx (9/x+1]f(x) = ??...
- Q If c = -0.477, simplify the expression cos(cos^(-1)(c)). If undefined, enter . Provide your answer below:
- Q Find an exponential regression curve for the data setAn exponential regression curve for the data set is y= ___ . e (Type Integers or decimals rounded to three decimal places...
- Q Find a power series for the function, centered at c, and determine the interval of convergence.f(x) = 3/(3x + 2), c = 6
- Q Consider the ellipse with equation(x + 9)/3 + (y - 3)/2 = 1The semimajor axis has lengthThe semiminor axis has lengthThe vertices are located at(-6,3),(-12,3)
- Q What is the average value of f(x), between x = 0 and x = 3 for f(x) = 2x/(x + 3) ?
- Q The fourth graders at Long Elementary will visit the Zoo on Friday .There are 215 students and 12 adults attending . If a school bus will seat 72 passengers ,...
- Q Convert the rectangular coordinates (5, -5?3) to polar form. Let r >0 and 0<? < 2?. Enter your answer by filling in the boxes. Enter coordinates as simplified fractions or...
- Q The initial point of is (-5,1) and its terminal point is (-1, -3).What is the value of ll a ll?Enter your answer, as a simplified radical, in the box.
- Q An oblique cone has a radius of 7 units and a volume of (784? / 3) cubic units. What is the height of the cone?
- Q 7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years, to the nearest cent?
- Q tan ? =- 8/15, ? lies in quadrant II , and cos ? = 5/6, ? lies in quadrant I.(a) sin(? + ?)(b) cos(? + ?)(c) tan(? + ?)
- Q Convert r =5/(3 sin? - cos?) to rectangular form.Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.y =
- Q Determine and classify the discontinuities, if any, of f.f(x) = -6 if x? 2 0 if x= 2State the removable discontinuities, if...
- Q Determine and classify the discontinuities, if any, of 8.s(x) = 5x - 9 +1State the removable discontinuities, if any, of s. If multiple removable discontinuities exist, enter the solutions using...
- Q Determine whether the series converges, and if so find its sum.?? k=1 1/k(k+1) = ________
- Q Use the table to find lim 3x. x-> -3X ...
- Q Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent, enter div.?? n=0 n/?n+18
- Q Question 9Solve for ? if -8 sin? + 6 = 4?2 + 6 and 0 ??< 2?.?= ? only?= ?/4 and ?=3?/4?= 5?/4 and ?=7?/4?= 5?/9 only?= 5?/3...
- Q In{(x + 1)/(x^3 + 1)}Find the Domain and Range.f(x) = cos^-1(In(tanx)).Find the Domain
- Q Divide: (3 - 4i)/(7 - i)Write your answer in a + bi form
- Q A tower that is 109 feet tall casts a shadow 110 feet long. Find the angle of elevation of the sun to the nearest degree.The angle of elevation is ______degrees....
- Q R is the region bounded by the functions f(x) = (x/2) - 3 and g(x) = -(x/2) - 9 over the interval [a, b] where a = -5 and b...
- Q Determine and classify the discontinuities, if any, of p.p(x) = 9x / (10x - x)State the removable discontinuities, if any, of p. If multiple removable discontinuities exist, enter thesolutions using...
- Q In a circle of diameter 10, find the area of a sector whose centralangle is 45 and round off to the nearest hundredths.A. 562.50B. 9.82C. 39.27D. NO correct choices
- Q Determine and classify the discontinuities, if any, of k.k(x) = 7x / (x + 256)State the removable discontinuities, if any, of k. If multiple removable discontinuities exist, enter thesolutions using...
- Q Determine the intervals on which f is continuous. Enter the solution using interval notation.f(x) = 1 - 8 ln( - 5 - 6x)f is continuous on _______
- Q Consider the function f(x) = 2 - 8x^2on the interval [- 5,8]. Find the average or mean slope of the function on this interval, i.e.(f(8) - f(-5))/(8 - (-5))=___________By the...
- Q The function f(x) =x +8/x has derivatives f(x) =x -16/x and f"(x)=48/x?(a) Determine the x- and y-intercepts.(b) Determine the equations of any asymptotes and classify the behaviour at...
- Q Determine the intervals on which k is continuous. Enter the solution using interval notation.k(x) = 3 cos x 13 sin xk is continuous on ______
- Q Sketch the graph of x/6 - y/4 = 1 selecting a type of graph, then select the center, then moving the cursor until the graph is correct).
- Q A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t^3 -4t^2 +15t, where h(t) represents the height above the water, in feet, at t seconds.(A)...
- Q Complete the table shown to the right for the half-life of a certain radioactive substance.Half-Life ...
- Q Determine the intervals on which g is continuous. Enter the solution using interval notation.g(x) =x +4/(x^2 - 4x - 32)g is continuous on ______________
- Q The function f(x) = 7x +5 is one-to-one.a. Find an equation for f?,the inverse functionb. Verity that your equation is correct by showing that f(f?(x)) =x and f?(f(x))=x.(Simplify your answer....
- 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 integers...
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