We have In (10-x) = C-1 Σ 10 n=0 +7+1 10^(n + 1) =C- In order to find C, we let x = 0 and get f(0) - In([ 00 n=1 n10n 7) = c-([ and so C =

Q: Consider the initial value problem y + y = 1-t, y(0) 10 = yo. Find the value of y, for which the…

A:

Q: Consider the surface z - 10 = ze cos z. Find an equation of the tangent plane to this surface at…

A: The surface is The equation of the tangent plane to the surface  at the point  is

Q: can you do it one more time to double check pls

A:

Q: Does the series (-1)^+1! converge absolutely, converge conditionally, or diverge? n=1

A:

Q: Find the integral. X 500x +6 dx

A:

Q: Sketch the region of integration and change the order of integration. √x 1³ [VER f(x, y) dy dx f(x,…

A:

Q: Let I- ・6^rx f(x) dx, where fis the function whose graph is shown below. y (a) Use the graph to find…

A:

Q: J x arctan x dx

A:

Q: 2. Consider the same cube from Exercise 1 (of volume V 125 cm³ and side-length s=5 cm). In the…

A: Note:Since you have asked a question with multiple subparts i am answering only first three…

Q: Compute the directional derivative of the following function at the given point P in the direction…

A:

Q: Suppose that f(x, y) = 7x + 8y and the region D is given by {(x, y) | -1 ≤ x ≤ 2, -1 ≤ y ≤ 2}.

A:

Q: A new series of tests is carried out and the equation modified to  y"+2y+5=0 y`(0)=0 y=20 t=0…

A:

Q: A gardener has 1160 feet of fencing to fence in a rectangular garden. One side of the garden is…

A: Using the application of derivatives, we can find the dimensions and area of garden.

Q: Solve the given differential equation by using appropriate substitution. The DE is homogeneous. -y…

A:

Q: 4-Determine the values of real numbers and such that y +b√xhas a minimum value of 5 at x=4.

A:

Q: Consider the function f(x) = 12x³ + 15x¹ - 240x³ + 4. f(x) has inflection points at (reading from…

A: The solution is shown in step-2

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: 1. Evaluate the indefinite integrals. (a) [ COS X (1 + sin x)² (b) [esin (e²) dr (c) [¹h 2² x dx dx

A:

Q: a. Set up an integral for the area of the surface generated by revolving the given curve about the…

A:

Q: Suppose h = fog. Find h'(0) given that f(0) = 9, f'(1) = −8, g(0) = 1, and g'(0) = 5. h'(0) =

A: Given data

Q: 5) Find the length of the polar 3π curve r(0) = -2 cos 0 where 0 runs from to 2

A:

Q: Without using a calculator, find the exact value of the expression: 8 cos (-2) 3 12 cot (¹)

A:

Q: se a computer algebra system to evaluate the triple iterated integral. */2 sin 8 [² [* (sino (9 cos…

A:

Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: Given function

Q: Write the equation of a hyperbola that meets the following conditions. Foci: (0, -6), (0, 6);…

A:

Q: Find the first four terms of the binomial series for the function shown below. (1-x) -1/5 The first…

A: Use the formula of the Binomial Theorem to solve this problem.

Q: Find f(x) such that f'(x) f(x) = = = X + 3√x and f(1) = 12.

A:

Q: If 0 = 1TT 6 3 then find exact values for the following: sin (0) equals cos(0) equals tan(0) equals…

A:

Q: a) f(-3t² + t)e4t dt (You don't have to simplify your answer.)

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 5. Use technology to determine the solution to the given system 2y + x - 3z - 9=0 2x -y + 2z = -8 3x…

A:

Q: Sketch a graph of 5 cos(x) 6 5 4 3

A: We have to draw the graph of 5cosx

Q: as rectangular function. Write the parametric equations x(t) = √t - 5 and y(t) = 5 + t²

A: The solution is shown in step-2

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous -y…

A:

Q: Oil leaks out of a tanker at a rate of r = f(t) liters per minute, where t is in minutes. If f(t) =…

A:

Q: Write an equation (any form) for the quadratic graphed below: y = -4 -3 -2 -2 4 3 2 1 -1 -2 -3 -4…

A:

Q: For the following vectors, find 2u - 3(vw): u = , v = , w = O O O O

A:

Q: Given cos(0) answers as positive fractions. No decimals. a) sin(0) = b) tan(0) c) csc(0) d) sec (0)…

A:

Q: 1 5 simplified square root. Find tan 0 if cos 0 = and is in quadrant IV (Q. IV). Leave your answer…

A:

Q: A contractor wants to build a swimming pool that is to have area of 144 m². The pool must have a 4-m…

A: A constructor wants to build a swimming pool that is to have area of 144m2. The pool must have 4m…

Q: One side of a triangle is increasing at a rate of 8 cm/s and a second side is decreasing at a rate…

A:

Q: a) The rectangles in the graph below illustrate a left endpoint ✓ approximation for f(x) = 2 sin z…

A:

Q: Find the derivative of the function. f(x) = (7 - e-4x)6 f'(x) = X

A:

Q: Estimate the area under the graph of f(z) = z² + 4z from z = 1 to z = 4 using 3 approximating…

A:

Q: Let f(t) = F'(t), with F(t) = 8t² + 7t, and let a = 3 and b = 4. Write the integral ff(t) dt and…

A:

Q: Consider the following. y = e-x² Find y'. y' = Find the slope m of the tangent line to the graph of…

A:

Q: Find 6 5 [["²² 4 4 xydydx.

A: NOTE: Refresh your page if you can't see any equations..

Q: 1 7 Find if -3w-6(u + 2v) if u = -3j, v = i +2j, and w = -- --. Express your answer as a linear…

A:

Q: Truck Rental Company Y rents out a moving truck for one day by charging $25 plus $0.07 per mile.…

A: If the rate per unit is  then the rate per units is .

Q: Reverse the order of integration in the following integral. 2 4 - 2x SS f(x,y) dy dx 00 Reverse the…

A:

Q: Determine the particular equation for the velocity if the acceleration is given by the equation a =…

A: