15. Find the area inside the circle r sin and outside the cardioid r = 1- cos 0.

Q: did

A: Yes, you are right there is some mistake in part e. so, I am rectifying it in next step. Sorry for…

Q: 22. lim (x, y)→(0,0) 1 - cos (xy) xy

A: See this solution in below.

Q: The function f(x) = sin(x + sin 10x), 0 ≤ x ≤ π, arises in applications to frequency modulation…

A: See the details solution in below

Q: A certain isotope has a mass of 50 grams. It’s half life is 100 days. Write the equation that will…

A:

Q: Determine the equation of a plane tangent to a given surface at a point. Find the tangent plane to…

A: The given equation is  z=4ycos(2x-5y) at (5, 2, 8) Find the equation of tangent plane.

Q: 9. lim 818 4x + 3 5x − 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider following ODES: 1)4y" +12y' +13y=0,2) 2y″ +7y' + 5y = 0 a) Find characteristic equation and…

A:

Q: The expression sec² x tan³ x √tan² x+16 Otrigonometric substitution O algebraic substitution O…

A:

Q: 3. a) For what values of p is the integral cl sin b) In th x(In x)P da convergent?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Write the particular solution of the first order linear differential equatic + x)dy + (y - cosx) dx…

A:

Q: The shaded region in D = 4 cos and lies inside the polar curve r outside the polar curve r = cos 0.…

A:

Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

A:

Q: q are constants. Assume further that y is a differentiable function of a such that x²y = (x+y)p+q.…

A: To find the derivative using logarithmic differentiation

Q: Find the average rate of change of f(x) = 4x² - 6 on the interval [1, a]. Your answer will be an…

A:

Q: Evaluate: fx In xdx X ○ 25 (In x-²) 5 25 (In x-1) 5 + C O 25 (In x+²) 5 + C O None of these + C

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Given the points A: (3, — 2, 2) and B: (5, 2, 6), find the vector u = AB

A: The points are given by A3, -2, 2B5, 2, 6 To evaluate: The vector u→ = AB→.

Q: Which one of the following could be the graph of the polar function r = 1 + 2 sin ? 1. 013 2. P…

A:

Q: Find the area of the region bounded by the y-axis, the line x=3, and the functions f(x) = (x² - 3x +…

A: We have to find the area of the region bounded by the y-axis, the line x=3, and the functions…

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: 28. (2A + B²)4

A:

Q: Find Angle between two vectors b = (4, 5, 2). Let à (5, 1, — 4) and = Find the angle between the…

A:

Q: Find Vectors and Perform Vector Operations in R³ Find a vector with initial point ( – 2, 5, 0) and…

A:

Q: Given f(x, y) = 7x³ cos (yº), find fzy (I, y) = fyy (I, y) =

A: Given that fx,y=7x8cosy6To find :fxyx,y, fyyx,ySolution…

Q: The resistance R of a copper wire at temperature T = 23 °C is R = 1792. Estimate the resistance at T…

A:

Q: Find three positive numbers whose product is 86 such that the sum of their squares is as small as…

A: Let the three numbers be x, y and z. x + y + z = 86 -----(1) ⇒ z = 86 - x - y ------(2) Product, P =…

Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

A:

Q: Jsing Linear f(x) = ln (x), a = 1, Use decimal notation. Give your answer to two decimal places.) Af…

A:

Q: J. R (x + y) dA where R is the region bounded by y = √x and y = x².

A: The answer is in step 2.

Q: What is the standard form of the equation of the parabola whose center is at the origin, focus is 3…

A:

Q: Given the coordinate matrix of x relative to a (nonstandard) basis B for R", find the coordinate…

A: Solution:

Q: Which is larger: a = a>b Oa<b √8.1 -√√8 or b = √√2.1-√√/2?

A: Solve

Q: 1+r 24. lim xxx² + 1 8118

A: Solution is given below:

Q: Find the inverse transform of the given function of s. 3 √ 55/2 F(s) = A B There is no correct…

A: We have to find the inverse transform of  Fs = 34πs52.

Q: in 16 35-40 Find the horizontal and vertical asymptotes of eac curve. You may want to use a graphing…

A:

Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.

Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

A:

Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: -10 Describe the x-values at which the graph of the function f(x) = given below is differentiable.…

A: see below the answer and explanation

Q: 9 8- 7 16 1 A 3 يها 2 1 If f(x) f'(3) = = g(x) g(x) h(x)' 2 3 x-values then 5 4 يها 2 1 h(x) 1 2 3…

A: Given that graph of gx and hx    and fx=gxhxTo find :f'3Solution…

Q: 4. y" -10y +34y = -cos3x

A:

Q: Find an equation of the level curve of the function z(x, y) = ey (x² + y2) that passes through the…

A:

Q: e) y = √x4+7x

A: Solve for the derivative

Q: Problem 2. Consider the region R bounded by the the graphs of y = 4 - x², and y = x² - 2x. Sketch…

A: To set up an integral which gives the exact area bounded by the given graphs.

Q: Icc cos(x) + sin(x) dx

A:

Q: 65. Find limx→ f(x) if 23m 4x - 1 intox ob vdW for all x > 5. · <f(x) < S+x81 4x² + 3x 2 x²

A: Here we have to find the limit.

Q: 5. List all critical points of T(0) = sin² 0 - cos 0 for 0 ≤ 0 < 2π.

A: Find all critical points of T(θ)=sin2θ-cosθ for 0≤θ≤2π.