Find the volume of the region bounded by the coordinate planes, the plane x+y=6, and the cylinder y² +25z² = 36.

Q: Given the solid generated by revolving the region bounded by the lines and curves y=y=0, x=16, and…

A:

Q: 1. The indefinite integral sin cos de can be evaluated in multiple ways: (a) Evaluate the integral…

A: As per guidelines,  I can answer maximum three subparts of a question, Since there are four…

Q: You invest $1400. If the account grows continuously by 3.2% per year, how much money will be in the…

A:

Q: 1+ t² dt Let f(x) = a) What is f'(x)? Explain. b) Use this to find the derivative of 9(x) = ftanz…

A:

Q: Describe the sequence of transformations that are required to graph g(x)=2.35(x+8)4+ 7 based on…

A: The answers are given in step 2 and step 3

Q: 18 x² +9 (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= (a) (fog)(4) " find the…

A: Given,            fx=x and gx=18x2+9

Q: Evaluate the integral √x³√x² +9dx. 3 2 [x²+√x² +9dx= .3 2

A:

Q: If F(x)= S.. 2 F'(x) = tan(t) dt, compute F'(x).

A: Find F'(x) where F(x) is an integral of t

Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A:

Q: 1 Find the divergence of U = r cos 0 a₁ - sin0 aº + 2r² sin 0 a. ar r O 3 sin 0 3 cos 0 O None of…

A:

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

A:

Q: Evaluate the definite integral. S -dz 3x² Simplify your answer. Type an integer or a fraction.

A: Given ∫1213x2dx=∫1213x-2dxNote :     ∫xndx=xn+1n+1so…

Q: Find the derivative of y with respect to t. y = 14 Vì tanh Vĩ *** y'a (Simplify your answer. Type an…

A:

Q: Question 6 and B Consider the function f(x) 7x + 7x-1. For this function there are four important…

A:

Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A:

Q: Question 2 3x3x25x+1 x-2 Using Long Division to evaluate the integral 1[3.2³ -da

A:

Q: Given the side length a = 19 and the angle A = 66° on the triangle below, find the lengths of b and…

A:

Q: Click the best answer * 2 y=−(1+x²)(2+x²) -1 -3 0 -4 3

A:

Q: San Diego is one of the largest cities in the United States. In 2012, the population of San Diego…

A: We need to find out the growth rate from 2012 to 2016, also the growth rate from 2016 to 2020.

Q: Use mathematical induction to prove that the statement is true for every positive integer n.…

A:

Q: Calculate √4-2i. Give your answer in a + bi form. Give the solution with smallest positive angle.

A: Given query is to find a+ib form.

Q: Find the area of the shaded region. Round your answer to one decimal place. 0.5 4.5 -1.5 A -1…

A:

Q: 5. A rectangle is constructed with its base on the diameter of a semicircle with, radius 1 cm and…

A:

Q: For the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c)…

A:

Q: Homogeneous Bernoulli's equation Both Homogeneous and Bernoulli's equation None of these

A: Topic:- application of differential equations

Q: At the beginning of a study, a certain culture of bacteria has a population of 80. The population…

A: Given query is to find the exponential model and bacteria after 14 days

Q: What are the zeros of f(x) = 4 sin ²x - 2 on the interval [0,2+]? The zeros are (Type an exact…

A:

Q: Find zw and Z. Write each answer in polar form and in exponential form. W z=3-3i w=√√√3+i

A:

Q: 2² - 2x x²+x-6° If the limit does not exist, type DNE. Compute the limit lim

A: The given limit is, limx→2(x2-2x)(x2+x-6) We need to find the limit of the given expression when the…

Q: Evaluate the integral S 2 sin¯1(x/4)) ² dx √16-x²

A:

Q: 4 Suppose H (x) = 7x² +2. Find two functions f and g such that (fog)(x) = H (x). Neither function…

A:

Q: 7. Determine the following general antiderivatives. 3x (x² - 5)³ dx a.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Question 2 ( a) Evaluate {eot}

A: according to bartleby guide line we do only first part of multiple questions please repost other…

Q: Evaluate the following limits. Consider looking at the graph of the function to help you understand…

A:

Q: X 8. Determin S 5

A:

Q: Use l'Hôpital's lim x-0 lim x-0 Rule to find the following limit. 4 sin (x) - 4x 3x³ 4 sin (x) - 4x…

A:

Q: Find the Maclaurin polynomial p3 (x) for f(x) = 5 tan (5x). Provide your answer below: P3(x) =

A:

Q: Find zw and W Write each answer in polar form and in exponential form. z = 2 cos + i sin 2π 9 T W =…

A: we need to find out z/w and also the product zw in both polar form and exponential form.

Q: (2-2) A o (Type an equation. Simplify your answer.) Type the locations of the foci. □ (Type ordered…

A: Topic:- equations of ellipse and geometry

Q: For f(x) = x³ and g(x) = ³√√x, find (fog)(x) and (gof)(x). Then determine whether (fog)(x) =…

A:

Q: Find the derivative of y with respect to x if y= In (8x) S sin (7et) dt.

A:

Q: Write the sum using sigma notation: 7+ 10 + 13 + 16 + +46 = A = B = = .. A Σ Β, where n=1

A:

Q: For what a does the function f(x)=x² +50x100, 0≤x≤25, have its minimum value?

A: Given query is to find the x where f(x) is minimum.

Q: Vrite the expression in rectangular form, x + yi, and in exponential form, rei 14 3π [5[cos +…

A: Given query is to find indicated form of the expression.

Q: Use the information given about the angle 0,0 ≤ 0 ≤ 2m, to find the exact value of the indicated…

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: Find ux (2v) for the given vectors. u = 7i - 2j+8k, v = − 3i+9j+5k Select the correct choice below…

A:

Q: Evaluate the improper integral or state that it diverges. -5-8dx x² -8

A:

Q: W 3/4 i es 1 Find the area of the shaded region. Enter your answer as a reduced fraction. 0.5 0 05…

A:

Q: (a) Solve the utility maximization problem max U(x, y)=√x+y subject to x- 4y= 100 using the Lagrange…

A: We have to find the quantities demanded of the two goods.      According to our guidelines we can…