∫12v (7+6v2)9 dv Evaluate indefinite anti-differentiation

Q: 9. Which of the following is equal to feedt? A. ee C. eºx + C B. ee + C D. eºt + C 10. What should…

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫c·fxdx=c·∫fxdx , where c is constant   (9).…

Q: 2. Evaluate fy³ dx-r³ dy, where C is the circle of radius 2 centered at the origin, in the following…

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Q: 14. Which of the following has ex³-¹as an antiderivative? A. x²x¹-1 B. 3x²x³-1 C. 3xe*¹-1 D. xex -1

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Q: Find for z = for z = ex-y Əz Əx

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Q: Using trigonometric substitution to evaluate:, find t * St³ (3t² - 4)ždt, O t = (2/V3) tang O t =…

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Q: Activity 3. Problem Solving. Solve the problem. Show and illustrate your solution. The ladder 7.5…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

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Q: T: P2 P₂ defined by T(a + bx + cx2) = a + b(x + 8) + b(x + 8)² Find the following images of the…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain of rt and the value of rt0.rt=cosπt i-lnt j+t-16; t0=17

Q: = fx x²zdx- dx − yx² dy + 3 dz along the curve C shown in the figure. - Z 2 2 [x²zdx - yx² dy + 3 dz…

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Q: ad all values of x For w/c the graph of f lies above the graph of. f(x) = 49x; g(x) = 1

A: Given the query is to find the values fo x for which f is greater than g.

Q: f(x) = loga x

A: ddxlogax

Q: A farmer uses x lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

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Q: Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B…

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Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…

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Q: d d alculate ——[r₁(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt he product…

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Q: y-gx cross-section base view The base of a certain solid is the area bounded above by the graph of y…

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Q: Question 9 In MN = In M + ln N Maybe False True None of these

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 ≤ t ≤ 1. [(x + 3y²) dy

A: We can solve this as follows:

Q: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

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Q: 1- Sinx + Cos2y=0 dy dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: s sin² (3x) cos³ (3x) dx Hint: cos²x = 1 - sin² x 07 sin²x = 1 - cos² x

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Q: хр. e X О

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the surface area when the curve C = {(x,y): 0 ≤ x ≤ 2, y² =2-x} about the x-axis.

A: We have to find the surface area.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: r(t)=cos(πt) i -ln(t) j+t-12 kDomain of:cos(πt): no restrictions.(-∞, ∞)-ln(t): defiend for…

Q: 5. Consider the surface obtained by rotating the graph of f(x) = 1/2, 221, around the z-axis. This…

A: We will show this using integration ∫1∞1xdx = ln x1∞ = limx→∞ln x = ∞

Q: KE-5 f(x) g(x) Find the area enclosed between f(x) = 0.6x² + 10 and g(x) = x from x = −5 to x = 3.

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Q: Use the graph of g(t) = G'(t) below to answer the following. Make sure to show work and justify your…

A: Area above x axis is positive  are below x axis is negative ∫02 gt dt  = area from 0 to 2=16∫24 gt…

Q: A cylindrical can, open at the top, is to hold 300 cm³ of liquid. Find the height, h, and the…

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Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i + 6 sin(t)j + tk; t = T() 6 37 0, √/3 X N…

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Q: Calculate[ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating the product directly and then by…

A: r1(t)=6t i+ 4t2 j+ 4t3 kdr1dt=6 i +8t j +12t2 kr2(t)=t4kdr2dt=4t3 k

Q: dy (x + 1) dx = 1 x = 0; y=2

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Q: f(x) = e²x cos(x) e2

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Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: We have to find the surface area.

Q: Determine whether the series is convergent or divergent. arctan 2n n = 1 O convergent O divergent If…

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Q: Verity Green's Theorem by evaluating both integrals ƏN [x² dx + x² αy = [] (2 - 0) A √y² dy dA ax ду…

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Q: 4. Scot³ 2x csc4 2x dx = f cot² 2x csc¹ 2x cot 2x dx = f(csc² 2x - 1) csc4 2x cot 2x dx Let u = csc²…

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Q: ∫cos(7t) dt Evaluate indefinite anti-differentiation

A: LetI=∫cos7tdtPut 7t=uDifferentiate on both side7dt=dudt=du7ThereforeI=∫cosu17duTake the constant…

Q: ² fx ds, where C is с t a. the straight line segment x = t. y = from (0,0) to (16,4) b. the…

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Q: The Bernoulli's form of the differential equation xdy - [y + xy³ (1 + ln x)]dx = 0 is

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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Q: A county's statistics indicate that the number of white-collar crimes is growing according to the…

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Q: 3. Solve the following equations by using variation of parameters methods: a) y" - 2y' + y = e* ln x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

A: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

Q: The finate finear pattern 20;17;14...-103.Calculate number of terms in the sequence ?

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Q: Estimate the integral right-hand sum with n = 3 subdivisions. Left-hand sum Right-hand sum - [₁2 2…

A: To solve the following problem

Q: solve the differential equation in higher order differential equations complete solution PLEASE…

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Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

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