consider the polar equation defined by r = 5 cos(2 sin 8), where s0< 2n. Determine the missing values of r in the table below. Round off rour answers to two decimal places.

Q: Question 3 How much work is required to pump all the water from a right circular cylindrical tank,…

A:

Q: Question 9 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y…

A:

Q: A ball is thrown vertically upward from the top of the house 112 ft high with an initial velocity of…

A:

Q: 3. Find the area bounded by a curve y? = 6x + 36 and the y - axis 4. Find. the area bounded by y =…

A:

Q: What is the volume of the solid formed by revolving the region bounded by 6y =x2 and 6z ? %3D %3D…

A:

Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

A:

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the x- coordinate of all critical points, b) the open intervals…

A:

Q: Activity 2. Antiderivative of Trigonometric Functions Directions: Evaluate the folowing integral.…

A: To find the antiderivative of given functions.

Q: 2 Compute limx→14-x2 1 + X-1

A:

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

A:

Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

A:

Q: a²z Determine if z = tan- + r2+02° r

A:

Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A: To determine which of the given options is true for the given function

Q: A ball is thrown vertically upward from the top of the house 112 ft high with 6. an initial velocity…

A:

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: y" + y" – 4y' – 4 = 8x + 8 + 6e™

A:

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

A: First  I have found the Area of the shaded region region then find the critical point and then find…

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) 2' of…

A: As per guidelines we can answer only three subparts questions at a time, if you need more answers…

Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

A:

Q: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

A:

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. V16 – x² dx

A:

Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

A:

Q: 2. DETAILS LARAPCALC10 4.R.086. Find the derivative of the function. 8 In

A:

Q: Suppose that , g(t) dt = v7 rg(x)] dx 1. g(r) dr 2.

A:

Q: x³+2x? -3x x²+4x+3 2) Evaluate lim -6-1. x→-3

A: Use l-hospital rule.

Q: Evaluate y' of the given functions: 1 Find y"'for y (x+4)3

A:

Q: Calculate the total area of the glass needed for a KLEEMANN curved building design with a function…

A: we have to find area.

Q: Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x³ + 11.

A:

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

A:

Q: Find all the derivatives of f, given fl(x) = x ° – 5x' + 4x 6 – nx* + 3x ³ + 11.

A: Let's find.

Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

A:

Q: evaluate the following integrals:

A:

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: Solve for the following system of differential equations. dx x + 3y, dt dy = 7x + 4y dt

A:

Q: If f (x) >0 and f (x)< 0 for all x over a given part of the domain of a function f, then the graph…

A:

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

A:

Q: Cot h. q(x) = ニ

A:

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

A:

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

A: