Calculus question and answers for October 22, 2023
- Q This question asks for an algebraic expression.With these types of questions, be sure to use the variables indicated. In your answer, you can also usemathematical expressions for numerical calculations.Examples with...
- Q A plant can manufacture 50 golf clubs per day at a total daily cost of $4883 and 60 golf clubs per day for a total cost of $5533.(A) Assuming that...
- Q Precision Aviation had a profit margin of 6.25%, a total assets turnover of 1.5, and an equity multiplier of 1.8. What was the firm's ROE?O a. 20.93%O b. 16.88%c. 13.84%d....
- Q This question asks for a fraction, a reduced fraction, and a mixed number.2Enter fractions like 2/3 forthe same asif 1/1/1 15For a reduced fraction answer, be sure to reduce your...
- Q Let sine=2?3 and <0<x52Part A: Determine the exact value of cos 20.Part B: Determine the exact value of sinO|N
- Q 3=Given g(x)find g' (1).Round your answer to the nearest hundredths (two digits after the decimal).800x-6x
- Q Part 1 ofA box with a square base and open top must have a volume of 119164 cm. We wish to find the dimensionsof the box that minimize the amount...
- Q (1 point) Let F = xi + (x + y) j + (x ? y + z) k. Let the line / be(a) Find a point P = (xo, Yo,...
- Q Use the x-cubed toolto graph the x-cubed function. Update the functionto have a Vertical Stretch of 3, a Horizontal Stretch of 1, a Vertical Shift of 0, aHorizontal Shift of...
- Q Use logarithmic differentiation to determined at x =1 for the following function:y=?x+1/(x+2)(x+1)-7?2/727/ 2?2?2/67/12
- Q Solve using matrices:3x - 2y + 2z = 67x - 3y + 2z = -12x - 3y + 4z = 0
- Q =. Let u(x, y) be the solution to the boundary value problem uxx + Uyy 0,for all (x, y) such that x + y < 1, and u(x, y) =...
- Q Determine, with motivation, whether the following function satisfies Dirichlet'sconditions on the given interval:f(x) = cosec(x) with f(x) = f(x + ?) on (-?)[2]
- Q Find dy/dx by implicit differentiation.?xy = xy +32dy/dx =
- Q What are the Cartesian coordinates of the point whose cylindrical coordinates are(r, 0, z) = (4, 2.6, -6) ?(x, y, z) = (
- Q 1. Consider the function,f(x) = 6 arctan(x).(a) (4 points) Find f'(x) using any method.f(x)= barctan (x)bask6x +1(b) (4 points) Compute f(0) and f'(0).
- Q Find dy/dx by implicit differentiation.6xy +9yx = -6dy/dx=
- Q Find for the following: y = ln (2)dydae (In 2)Oex02
- Q Find dy for the following:daxy - In(xy) = 1O0 - 12/10xYOAkeO--IY
- Q Consider the following.x + y = 9(a) Find two explicit functions by solving the equation for y in terms of x.(positive function)Y1 =Y2 =(negative function)
- Q Perform the indicated operations(2x^2-6x+11)+(-3x^2+7x-2)(-4y^2 - 3y+8)-(2y2-6y - 2)6x(-2x^2+5x+6)(9k+q)(2k-q)5. (2m+1)(4m^2-2m + 1)All up arrows are to the 2nd power
- Q Theloudness L(x), measured in decibels, of a sound of intensity x, measured in watts per square meter, is defined as L(x) = 10 logcan detect. Determine the loudness, in decibels,...
- Q Find dy/dx by implicit differentiation.cot(y) = 8x - 4y
- Q Find the vertices, foci, equation of the asymptotes, transverse and conjugate axis length for 9y - 25x= 225. Type theequation in standard form and then state the five answers.Checklist:1) State...
- Q The Louvre museum in Paris features an inverted squarepyramid with a height of 10 m. The side of the square is 13 m.Super-villains decide to fill the pyramid with water,...
- Q If you make $2500 in Gross Income every month, but 35% is taken out in taxes, what will your monthly Net Income paycheck be?O $1500$875$2500$1625
- Q 1. Match the Vocabulary word with the definition below. (18 pts.)fh9ebdCaY 1. FICA tax? 2. WithholdingV3. Tax Revenue4 4. Income TaxV5. Internal Revenue Service6. Property Taxes7. Taxes8. Medicare9. Payroll Taxesa....
- Q 3. Banks will pay you interest on your money based on the interest rate. (4 pts.)O TrueFalse
- Q 5. Enter your response into the blank field using one word only.income is the total amount of what you earned. (2 pts.)
- Q Match the financial institution with its definition. (6 pts.)V?1. Credit Union2. Bank3. Brokerage Firma. A business where stocks, bonds or mutual funds are sold. Thecan be found in your hometown...
- Q Complete the table to find the derivative of the function.Original FunctionRewrite7y =Differentiate Simplify
- Q Use the Product Rule to differentiate the function.f(x) = x cos(x)Step 1To use the product rule, write the given function as the product of two functions.f(x) = g(x)h(x), where g(x)...
- Q Find the maximum and minimum values of the function and the values of x and ywhere they occur.F = 5x +36y, subject to6x + 4y ? 35,4x+6y ? 30,x ?...
- Q Suppose f'(5) = 8 and g (5) = 9.Find h'(5) where h(x) = 4f(x) + 2g(x) +2.
- Q Use the given function f to answer parts (a) through (f) below.Xf(x) = 4 +5TA. The horizontal asymptote of f is y = 5.(Simplify your answer.)OB. There is no horizontal...
- Q nt) A boat is heading due east at 21 km/hr (relative to the water). The current is moving toward the southwest at 97. Give the vector representing the actual movement...
- Q Find the differential of the function. y=(7-t^6)^-2dy=_____
- Q Find the numerical derivative using NDER on your calculator.f(x)=1-x-2x^2 at x = 2
- Q Find the differential of the function. y = (8+COS(?))^-2.dy =
- Q Use the definition of a derivative, lim f(x+h)-f(x)/h to find the ...
- Q A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 7 ft/s along a...
- Q If x^2 + y^2 + z^2 = 9,(dx/dy) = 3, and (dy/dt)= 9, find (dt/dz) when (x, y, z) = (2, 2, 1).dz/dt =
- Q How do you find f(b), if you are given f(a), and f'(t)?
- Q If you are given the rate of change of a function f, and an interval, what is the total change over the interval?
- Q If f'(x) < 0 for x < -2 and f'(x) > 0 for x > -2, then it can be concluded that f has a relative minimum at x =...
- Q Given f (x) = 3(x-7)(x+3), list the zeros and determine whether the graph crosses or touches the x-axis at each x-intercept. Determine the maximum number of turning points on the...
- Q Compute the Fourier coefficients and write the Fourier series in the complex and real forms. f(x) = x on [0,?], and extended to R by ?-periodicity.
- Q What is the average value of f(x), between x = 2 and x = 5 for f(x) = 2??What is the average value of flx), between x = 0 and...
- Q Write a recursive formula for an, the nth term of the sequence 36, -6,1, ....a1 = ____.an = _____.
- Q Find the displacement of an object on the interval 0 ? t ? 6 if its velocity isv(t) = 4t - ?t
- Q Find fx, fy, fx(3,-5), and fy(7,5) for the following equation.f(x,y) = ?(x + y)fx = ____(Type an exact answer, using radicals as needed.)fy = ____(Type an exact answer, using radicals...
- Q Find fx, fy, fx(3, - 5), and fy(7,5) for the following equation.f(x,y) = ?(x + y)fx=_______(Type an exact answer, using radicals as needed.)fy=_______(Type an exact answer, using radicals as needed.)fx(3...
- Q For the function z= - 6x + 7y - 5xy, find ?z/?x , ?z/?y , ?z(1,1)/?x , and ?z(1,1)/?y.
- Q Given the function g(x) = 8x^33 + 36x^2 + 48x, find the first derivative, g'(x)=______________Notice that g'(x) = 0 when x = -2, that is, g'( - 2) = 0.Now,...
- Q Determine the domain for the function of two variables h(x, y) = 6xe^?(2+Y).Choose the correct answer below.O A. {(x, y) | y ? 0}O B. {(x, y) | y ?...
- Q For the function z= -6x + 7y - 5xy, find ?z/?x , ?z/?y , ?z(1,1)/?x , and ?z(1,1)/?y
- Q For the function z = 3x + 5y - 4xy, find ?z/?x , ?z/?y , ?z(1,-3)/?x , and ?z(1,-3)/?y
- Q Determine the domain of the function of two variables.g(x, y) = 3/(2y - x^2){(x, y) | y ? ___ }
- Q Find fx, fy, fx(3, - 5), and fy(7, 5) for the following equation.f(x,y) = ?(x + yfx = _______________(Type an exact answer, using radicals as needed.)fy = ________________(Type an exact...
- Q Solve for x. Round to the nearest tenth if necessary.Not drawn to scale
- Q State the identity that validate sin x=3cos ( x - ( ?/3) ) and hence show that tan x = -( 6 +...
- Q Find the derivative ofy=tan(4x 3x)Find the derivative ofy=e? (x + 5x 1)
- Q Find the four second-order partial derivatives of afunction of two variables.Find fxx, fxy, fyx, and fyy for the following function. (Remember, fyx means to differentiate with respect to y and...
- Q Find all second order derivatives for r(x,y) = xy / (8x + 7y).r??(x, y) = ____r??(x, y) = ____r??(x, y) = r??(x, y) = ____
- Q Using the limit definition of the derivative (first principles), determine the derivative of f(x) = 2x / (3 - x)
- Q The length of the major axis of the ellipse with the equation ((x-2)^2)/16+((y+7)^2)/9=1(A) 3(B) 4(C) 6(D) 8(E) 16
- Q The function f(x) = (3x + 6)e^(- 6x) has one critical number. Find it.x=_______
- Q Find the indicated terms in the expansion of(4z^2 + 5z 5) (9z + 2)(4z 2z + 3)The degree 4 term is___________The degree 3 term is__________
- Q The Mosteller formula for approximating the surface area, S, in m^2, of a human is given by S = ?hw/60, where h is the person's height in cm and w...
- Q Let f(x)= x^3 + 9x^2 48x + 3.(a) Use the definition of a derivative or the derivative rules to findf'(x)=_______________(b) Use the definition of a derivative or the derivative rules...
- Q Consider the function f(1) = 3x^3 4x on the closed interval [1,6].Find the exact value of the slope of the secant line connecting (1, f(1)) and (6, f(6)).m =_____________By the...
- Q Compute the Instantaneous rate of change of the function f(x) = x + 12x-3x - 8 at x = 2.
- Q I want to know "what does a fox say?" I ask the first 10 people I see. What kind of sample is this?
- Q Find f(t) where f' (t)= 2t-3t sec(3t-3) tan(3t-3)/t and f(1) = 7.
- Q The graph of the polar equation r =(A) a horizontal line(B) a vertical line(C) a line with a positive slope(D) a line with a negative slope(E) an ellipse
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