f(x) = -8x + 1 x-1

Q: 4. A water tank in the shape of an inverted cone has height 92 cm and radius 60 cm. If the water…

A:

Q: y = sin-¹(6x + 1)

A: y=sin−1⁡(6x+1)

Q: Find the difference quotient of f; that is find f(x+h)-f(x) h The difference quotient of f;…

A:

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

A:

Q: 8. Consider the gradph of the function f(x, y) = x² - 5xy given by z = x² - 5xy (a) ( (1,2). Find an…

A:

Q: Find f'(x) if f(x)=(5x-1)². f'(x) =

A: we need to find out the derivative of the given function.

Q: Differentiate r(t) = (cos(t)², sin(t)², t³).

A: The given vector valued function

Q: -3x If h (x) = ln(x + 4 + e−³ª), then h′ (0) =? 01/10 O nonexistent 0 210 210

A: This is question of differentiationHere function given We have to differentiate it and put value…

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A:

Q: dy dx cos(x + y) = 3x Find dy dx dy dx dy dx dy dx = = -3 csc (x + y) - 1 = -3 cos(x + y) - 1 = −3…

A: we need to find out the derivative.

Q: Find the critical points of h(x, y) = 3x² - 6xy + y² + y². Classify the critical points using the…

A: I have appended the formula used in the solution procedure

Q: If what does the following integral equal? -15 -50 [9f(x) + 2g(x) - h(x)]dx = -15 |_| f(x)dx = 15…

A: The integrals are given asTo evaluate: The value of

Q: 7. u = (2, 2), v = (2, −2) 8. u = (2,-2), v = (−2, 2)

A:

Q: (a) Decide on a trigonometric substitution to use. atant 84 de=asec Codo /₁ de in terms of 6 and de.…

A:

Q: Find f'(t) if f(t)=4t² +8t+3.

A:

Q: 3 4. y sin³ 4x cos 4x =

A: The given function To find:-The integral in terms of sine function

Q: 94. Can you have a finite absolute maximum for y = ax²+bx+c over (-∞, ∞o)? Explain why or why not…

A: The quadratic function standard equation is

Q: [² f(x) dx = af (a) — ["² xf'(x) dx First use Integration by Parts. Then assume f(x) is increasing…

A: The given equation

Q: (2x - y) + (2y - x)y' = 0, y(1) = 3

A:

Q: Suppose that an airplane flies along the path r₁(t) = (2t, 2t², 10e-t) and a skydiver takes the path…

A: Given that the an airplane flies along the path  and skydiver takes the path  for

Q: Given the following integral and value of n, approximate the following integral using the methods…

A:

Q: 2. Calculate the Jacobian of the coordinate change (x, y, z) to cylindrical coordinates (r, 0, z).

A: To calculate the Jacobian of the coordinate change  to cylindrical coordinates .

Q: Find a general solution of the differential equation 2 dy dx You may leave the solution in implicit…

A:

Q: -f(x)=-4x²+72-1 by

A: f(x)=−4x2+7x−1

Q: The following data show the number of months patients typically wait on a transplant list before…

A:

Q: Find the value of an investment of $20,000 for 14 years at an annual interest rate of 3.85%…

A:

Q: S 1 In(7x) dx

A: I=∫1eln⁡(7x)dx

Q: For the following integral, (a) sketch the corresponding area, (b) approximate the area using the…

A:

Q: 14- 10 8 6 4 2 TO -B -10 810

A:

Q: 5. 13: I can estimate the value of a definite integral using a table, Riemann sum, or technology. A…

A: I have appended the formula used in the solution procedure

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Given that the vertical asymptotes are  and x intercepts are  and horizontal asymptote is

Q: Find the marginal cost function. C(x)=250 +3.5x-0.01x² c'(x) = [

A: we are given the cost function and we need to find out the marginal cost function.

Q: At what point(s) on the curve x = 6t² + 9, y = t³ - 5 does the tangent line have slope 2 (x, y) =

A:

Q: List the first five terms of the sequence. a1 = 2, : 2, a n + 1 an + 1 = 2an + 4 21 2 а2 8 12 14 16…

A:

Q: 12 X 10 -1 2 3 f(x) 6 3 0 1 g(x) 3 -1 -3 2 f'(x) 5 -3 0 -2 g'(x) -2 2 0.5 The table above gives…

A: Given,  h(x)=f(g(x))

Q: Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.…

A: we are given two functions, we need to write down the transformation that f(x) should undergo in…

Q: (c) Part of the graph of g(x) = x + x² is given below. Use calculus and algebra to find all possible…

A:

Q: Consider the graph of y = y 3 2 1 -1 -2 -3 f(t) dt, where f is a piecewise constant function. 2 3…

A: The graph of a piecewise function is given as,

Q: 9x Find the limits in a), b), and c) below for the function f(x) = x-7 Use -∞o and ∞o when…

A:

Q: Please answer the following derivative question. If H (x)=(4f(x)+ g(x))2/3 and f(3)=2, g(3)= -4,…

A:

Q: Indicate whether the graph specifies a function. 10 15 10 O The graph does specify a function. The…

A: to identify that the given graph shows a function or not.

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to write the given function as a composition of two functions.

Q: Complete the table. y = f(g(x)) y = (6x - 1)4 u = Need Help? Read It u = g(x) y = f(u) =

A:

Q: Consider the curve r(t) = tcos(log(t))i + tsin(log(t))j. Is the velocity constant? Is the speed…

A:

Q: Factor each of the operator: SHOW YOUR COMPLETE SOLUTIONS 4.) 2D³-7D² + 2D + 3 5.) D4-9D² 6.) D³ -…

A: 4) 2D3-7D2+2D+35) D4-9D26) D3-3D+2

Q: Tel f(x) = at: *+] at x = 2

A: The given function is

Q: Let A(x) = f(t)dt, with f(x) shown in the graph below. 4 3 2 1 X -1 -2 -3 -4 -5 A 5 At what x values…

A:

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ"(x)(x − b)dx - a

A:

Q: Let an = 1 for n = 1, 2, 3, ... . Write out the the first three terms of the following sequences. 3n…

A: Given  To find (a)  then find (b)  then find (c)  then find (d)  then find