Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Solution

Q: 2 logg 12 2 logg –

A:

Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

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Q: (13) Value of fr -dx is... xz d 2

A: ∫511 dx/x2  here simple integration is given  ∫511 x-2dx [-1/x]511 -1/11 + 1/5 (-5+11)/55 6/55

Q: ue of the integral. Explain why the inequality below is true for x > 0. ex e* (sin²x) e2x +3+x² ≤…

A: Given

Q: B. Use Green's theorem to evaluate f (x²y)dx + y² dy Where C is close path formed y = x and y = x³…

A: This is a problem related to integral. Based on the general formula of green's theorem we will…

Q: (a) Given the curve of y=x(x+3)(x − 2)(x-5) 10 i) Sketch the graph for -4<x<6 6 +1

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Q: 1 √√1-y² Q2: Evaluate fo y²(x² + y²)dx dy

A:

Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

Q: You are given the following points A to J A(4,2,0) B(2, 5, -1) E(0, -6, 7) F(5, -3, 7) G(-5, -1, 4)…

A: This question can be solved using the concept of vectors and three dimensional geometry.

Q: A company surveyed employees about how they travel to work. • 47 employees walked 63 employees drove…

A: Given problem:- A company surveyed employees about how they travel to work. • 47 employees walked…

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: This is a problem related to numerical method. Based on the general formula and concept of lagrange…

Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find the…

A: Topic = Limits

Q: Q1. 02. Evaluate the improper integral: 8 1 Se x(lnx)³ dx Evaluate the integral by integration b

A: As per bartleby guidelines we only give first question answers.

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Use the gradient of function for finding the directional derivative.

Q: P(AB) P(A) 13- P(B/A)= P(A)=0 (a) (c) P(A) #0 on condition that P(A)= (b) (d) P(A)=1

A: We know that P(B/A)=P(A∩B)P(A)

Q: Question: 3 The volume of a cube is increasing at a rate of 15cm/min. At what rate the side of the…

A: We know that volume of cube is (side)3. That is V=x3, where x is side of a cube. Differentiate V…

Q: Q5/ A: Use Linear Regression to fit the following experimental data X 3 2 3 1 6 Y 1 2 10 9 8 05 5 10

A:

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. = If u(3, 6) = -7, us (3,- 6) =…

A:

Q: Find the value of y at the point on the ellipse x² + y² = 1 16 where the maximum of the function…

A:

Q: 3. Given the signalsy₁ [n] = [-1 3 1 2 1] and y₂[n] = [−2 - 1 3 Evaluate the output for a. _Y₂[n] +…

A:

Q: 7. What is the correct expression to find the 8th term in the 12th row of Pascal's Triangle? A. 1C₂…

A: Option (B)

Q: Given f(x, y) = 6x6 - 6x²y³ - 5y³, find fz(x, y) = fy(x, y) = fiz(x, y) = fay(x, y) =

A: Solution

Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

A: To find the derivative of the given functions.

Q: 1 A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is…

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 5. What is the derivative of In(x)? B. 1/x A. xin(x)…

A: Let's find derivative of both questions.

Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or…

A:

Q: Let f(x) = x-10 2 x - 10x Find the indicated quantities, if they exist. (A) lim f(x) x-0 (B) lim…

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Q: 2. Below is the graph of f'(x). For what value(s) of x does x) have a point of inflection? TO A -3…

A:

Q: Use the substitution t = tan(x/2) to transform the integrand into a rational function of t and then…

A: Let  I = ∫0π2 5 sin 2x 2 + cos x   dx

Q: Determine whether the series converges using the Ratio test. The series IM8 k= &

A:

Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax+By+ Cz = D. If…

A: Use the general equation of plane having the point and have the given normal vector

Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

A:

Q: If it was 3 A = [ ³₁ 2] 4 So 4² = 123 20 8 5 - A 16 A² = [¹64] - B 9 13 5 A² = [ - 11/2 - C A² = [16…

A:

Q: Solve the following linear system by Gaussian elimination. X1 = X2 = i X3= Mi X1 + 4x2 + 3x3 = 12…

A: Given :x1+4x2+3x3=12-x1-5x2+4x3=-72x1-7x2+5x3=-7

Q: 9) xdy- ydx = (x² + y²) e* dx

A: Let's solve given diffrential equation.

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: y 3. y' = 3x² - y(1) = 5

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A:

Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for 0-1 f(x) = 0 for +1 for…

A:

Q: 2 3 ln x² dx 13mx 히 X

A: Given problem:- ∫ 3ln(x^2) dx/x

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 6 f(x) = 7+ - X f'(x)…

A:

Q: Which of these series converges? Α.Σ2 k=1 ∞ k Β.Σ 20K-3 1 C. √√k k=1 3 Dak√k Ο.Σ.

A: See the details solution in below

Q: a/ the point (-2,-2√3) It is the Cartesian re ion of representation the polar vector (4, II) 3

A: Above question is solved.

Q: the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

A: We have to solve the given differential equation.

Q: Initially 100 milligrams of a radioactive substance was present. After 7 hours the mass had…

A: This is a problem related to differential equation. Based on the decay's law equation we will answer…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: 3. arctan[2 cos()] is equal to: 2

A: Solution :. Given that

Q: Find the area of the region enclosed by the following functions. a) x=y²-3 and x=y+1. (-1,-2) 1…

A: Consider