x²y" – 3xy' – 2y = 0 а.

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: i cos tdt can best be evaluated by: A Trigonometric Formula B) None C) Integration by Parts D Power…

A: Since multiple questions are asked,I am doing first question

Q: Find div F and curl F if F(x, y, z) = 9y%z®i – 4x°z1°j – 5xy°k. - -

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Q: Adjust the domain of the rectangular equation, if necessary. y = x^2-7

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Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

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Q: Suppose the demand function D(x) = – 3x+7 and supply function S(x) =2x+2. Find consumer surplus at…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: 5. Find the area of the region bounded by the xr-axis and the graph of f(x)= -over the interval (-o.…

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Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx 2. x²/4-x?

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A: topic- differential equations

Q: Find the derivative of F (x) = S (t3 – t)° dt. O 5( – t)* (3t2 – 1) - O (2 - 2) O 5(x³ – 2)* O 3t2 –…

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Q: S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None…

A: topic- indefinite integral using trigonometric substitution 1+tan2θ=sec2θ

Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 은(1-x) 2+C

A: We have to solve above question and find integral

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 1 n Vn8 + 4…

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Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: 25x?y" + 25xy' + y = 0

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Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral x³Inx A x² dx 3 O ---fa…

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

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Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

A: I am attaching image so that you understand each and every step.

Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: So dz Select one: O True O False

A:

Q: sin' (12x) dx =

A: TO find : ∫sin3(12x)dx=?

Q: 1. Sx³Va? – x²dx

A: We have to integrate

Q: Find the value of n in the following definite integral. " 4x° dæ = 1 Answer: 1

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Q: Find div F and curl F if F(x, y, z) = x'i – 3j + yzk. div F= curl F=

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Q: S- 3 dy 3y - sin n -1 4-9y2 3 A True B False

A: We have to find out

Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: QUESTION 10 Suppose the demand function D(x) = - 3x+7 and supply function S(x) =2x+2. Find producer…

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Q: x+1 dx

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per…

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Q: Evaluate the definite integral. e18i i+ i- (*" - 1) j + k O (el" - 1) i - (e" - 1) j + - (e" - 1) +…

A: Given query is to find the value of the integral.

Q: Refer to the graph below. Find the consumer surplus for the demand function, D, when x= 20. Hint:…

A: We have to find the consumer surplus for the demand

Q: ydy can best be evaluated by algebraic substitution. A) True B) False

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: topic- differential equations

Q: Use the Ratio Test to determine the radius of convergence of Eo (Use symbolic notation and fractions…

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: 7. S x4 sec (x5 - 9) dx 8. S tan 3 x dx

A: 7. ∫x4 secx5-9 dx8. ∫tan3x dx

Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: t cos t?dt can best be evaluated by: A Power Formula B) None (c) Trigonometric Transformation D…

A: We have to find out

Q: Write an equation for the level surface of f(x, y, z) = r² + 10y? + 20z2 corresponding to the level…

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