Find the indefinite integral and check the result by differentiating. Determine an appropriate substitution to simplify the integrand. Choose the correct answer below. O A. (18 +3) O B. t8 +3 OC. (18+3) 8 O D. t7 Find the indefinite integral. |(18 + 3) °7 dt =

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

Q: Sing do Coso + Cose-2

A: LetI=∫sinθcos2θ+cosθ-2dθPut cosθ=uDifferentiate on both…

Q: n² < 2" for n = 4,5, 6, ... (Hint: 2n + 1 < 2" for n = 3,4, 5, ...)

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = e"i+ e¬'j K(t)

A:

Q: 1. Solve the differential equation: xy' – y = 2x In x

A: Use linear differential equation concept

Q: Differentiate the following function y = e log(4") You may use Insert -> Equation to help you input…

A:

Q: 11 ti + dt

A:

Q: 8 3k - 5 Σ is equal to k=1 2 A) 46 в 38 c) 34

A:

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

A:

Q: Prove that n2 +1 > 2? when n is a positive integer with 1<n<4.

A:

Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

A:

Q: A _1. (2x – 3) dx A. -2 _2. L(x3 + 2x) dx В. 0 _3. (x² – 2) dx 1 С. 3 4. S(x3 + 3x – 1) dx 2 D. 2 |…

A:

Q: Verify Green's Theorem by evaluating both integrals aN aM dy dA ду ax for the given path. C: square…

A: Application of integration

Q: Evaluate the function at the given value of x. Round your result to three decimal places. Function…

A: Solve the given

Q: de (x+2) h+2+ +C (r+2) x + 2- Option 1 Option 2 In Ix + 21 + 4r+5 + C in x + 2 (e+2) O Option 3…

A:

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: To evaluate the value of  ∫-∞∞7x2+4x+8dx=7∫-∞∞7x2+4x+4+4dx=7∫-∞∞7(x+2)2+22dx

Q: Question 1 Which of the following is false? O yofe" = eu . Ine u (x) In e O yof log, u = u' (x) In a…

A: We can solve as follows

Q: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20…

A: This question can be solved using the concept of linear programming.

Q: 7. If ā = -i+ 3j + k,5 = 31 – 2k and ĉ = 2î – † + 4k, determine 2(ã +5 – 2€) – (35 - 2)

A:

Q: 2. (Section 9.2) A refinery produces both gasoline and fuel oil, and sells the gasoline for $4.00…

A:

Q: Solve for the general solution of the non-homogenous linear differential equation using the method…

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t + 7)i + tj, Ostsi

A:

Q: dx 00 2 X х +4

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: I have stated the used formula in the solution

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

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

Q: 14. Evaluate L{e" cos(30)}. s-4 A) s - 8s +25 B) s - 8s + 25 4 C) s - 8s + 25 s+4 D) s - 8s +25

A: As we know that the Laplace identity; 1). If Lft=Fs then Leatft=Fs-a  2). Lcosat=ss2+a2   Given:…

Q: [In(y+2)dy Ans. 3 ln 3- 2 15. -1

A:

Q: Approximate the point of intersection of the graphs of fand g. Then solve the equation f(x)=g(x)…

A:

Q: Regarding on the letter c, why is it equated to negative gamma?

A: c) The direction ratio of D→-C→ is -2, 5, -5 from part a. D→-C→ is normal to the required plane.…

Q: 2 and common ratio Write down the first four terms of the geometric sequence with first term (Type…

A:

Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

A:

Q: Given the expression below, y = ecos arc sec(ln(r |- determine y.

A: The derivative is given below

Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy – 1)}…

A:

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value f(x) =…

A:

Q: y = [log(arc cot r3)]cosh

A:

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: x³dx Using trigonometric substitution, is equivalent to x²-4 8 / sec*o do A B 6 tan'o seco do © •Smo…

A: The given integral is: I=∫x3dxx2-4

Q: 1009 1010 R= E (2k) =2+4 +6+ ... +2018 and S= 2 (2k- 1) = 1+3+5+...+ 2019. What is the value of R-…

A:

Q: Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on…

A: Use moment of inertia concept

Q: Find div F and curl F if F(x, y, z) = 13y z'i – 13x°2°j - 4xy°k. div F= %3D curl F-

A:

Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x? b.…

A: area under the curve

Q: 3+ 12x4 – 7x +x³ a) lim 2л2 — За3 + х — 424 3x3 +x – 4x4* - -

A:

Q: Evaluate the line integral / (2x + 4y)dx + (2x – 9y)dy along the curve C : x = 4 cos t, y = 8 sin t…

A: Solution is given below:

Q: The total revenue, thousands of dollars, for selling g thousand Framits is given by (a) Find all…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: *+ 2y = te-2t, y(1) = 0 2. Solve the IVP: dt

A:

Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

A:

Q: 3. y = In? (csc2x). Find y"

A: y=ln2(csc2x)

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 6 cos(t)i +6 sin(t)j+…

A: As we know that; The expression for the curvature; κ=r't×r''tr't3 And The expression for the radius…

Q: For the given function find dy/dx. x- y' | = x + 2 y+ x2 1- x-3y-4x 3x2 + y + 2 y' 1- x + 3y - 4x y…

A: x-y3y+x2=x+2

Q: test conerg ence and divergence h!

A: We can solve this as follows: