2. 30e-3*(1+ e-3x)5dx

Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

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Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

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Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

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Q: Sie cos e sin 20 de t/3 T/6

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Q: Find the maximum value of the function f(x) = x³ -9x2 + 15x - 5. Answer: Find the value of x for…

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…

Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

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Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

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Q: Find the maximum value of the function f(x) x - 9x2 + 15x- 5.

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Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

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Q: The integral of the given function f sin?ucos5udu is a. - sin³u – 2 sinsu + sin'u + C b. – sin³u +…

A: The given integration is ∫sin2ucos5udu. Rewrite the given integration using trigonometric…

Q: 5. Which of the following is the solution to the equation below? 2 sin? æ – 1 = 0 x = 45 + 360k, x =…

A: Solve the following

Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Suppose that fand g are continuous and that f (x) dr = - 2 and g (x) dr=8 Find | [5f (x) +8 (x) ]dr…

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: A copper ball is heated up to 100°C. It is then placed in a water whose steady temperature is at 25…

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Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

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A: At first we want to find radius of the circle.

Q: Differentiate. 12 f(x) = 17 f'(x) =|

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Q: 3- Evaluate the integrals: Lia - 1. x(x - 3) dx 2. 2x + 3) dx 3. 3. 4. 299 dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 +2. %3D Answer:

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

Q: with A parti cle is moving a cc eleratoN at) = 12t+18. Its positian at time t = 0 IS S© =4 and its…

A: This question is related to integration, we will solve it using given information.

Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: 2. Vy-2+1 dy

A: ∫vn dv = vn+1n+1+C

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Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

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Q: xdx Evaluate (x²-2)5

A: Given query is to evaluate the integral.

Q: 3x-4 1. Y= Arctan 4

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Q: – ydy (у+ 1) — у+1

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Q: (8x3 + 2x) dx = 2x4 + x² Select one: O True O False (sinx/cos-x)dx = sec x + C Select one: O True O…

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Q: Use implicit differentiation to solve the following related rate problems: (Include a properly…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

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Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: topic - application of derivatives

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: Find the maximum value of the function f(x) =x² - 9x2 + 15x-5. Answer

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: 2xydx+(x^2)dy=0

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Q: The integral of the given function f x2 dx is (9-x2)2

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 4, (1, 2) Vf(1, 2) =

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Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: Using Integration by parts, evaluate: ſ x³Vx³ + 1dx Your answer

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

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Q: 4. V40-4v-v² dv – 4v

A: This question can be solved by using the concept of some special integrals.

Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

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Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: Evaluate ſV7– x²dx

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