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Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

A:

Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: xdx Evaluate (x²-2)5

A: Given query is to evaluate the integral.

Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

A:

Q: 4. [V40-4v-v² dv

A: Please see the answer below.

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

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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…

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Q: T/6 Evaluate 12(cos* 0 – sin* 0)d0

A: In order to solve this we need to split the terms accordingly.

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

A: Solution: x(t)=t3-3  and y(t) = 2t2

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

A: The objective is to find the maximum value of the function.

Q: The equation of the line tangent to the differentiable and invertible function f(x) at the point (5,…

A:

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A: Let's find.

Q: r(3x² x + 8x – 12)d: .3 x' +7x +12x

A: Given:          ∫3x2+8x-12x3+7x2+12xdx Factor the denominator:       =∫3x2+8x-12xx+3x+4dx The form…

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

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

Q: total

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Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z ver the curve c(t) = (et, t2…

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Q: Recall: v = can be written as v = ai + bj + ck , where i = , j = and j: . Let v = – 2i + 5j – 4k…

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Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: (b) If a > b and c > 0, then ac > bc.

A:

Q: Consider the following function. f(x) = x2 – 6x %3D (a) Find the critical numbers of f. (Enter your…

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x°, x = 4, and Ax = 0.06. Ay = (Round to four decimal places as…

A:

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = , (1, 7, 7) 10 z…

A: We have to find equation of tangent plane

Q: Evaluate ſV7– x²dx

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Q: Solve for t. log 6 t= 2

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

Q: Your professor said that this cannot be solved using Power or Logarithm Formula alone. Other formula…

A: The general form of integrand to apply power formula∫fxndx = fxn+1n+1 + CIn the given problem,…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v has,magnitude, v=2angle, θ=0°

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: wo boats leave a marina at the same time. The first boat travels 8 knots at a bearing of N24°E, and…

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Q: Exact ODE y'=-4/x; y(2)=3

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Q: What is the unit vector oppositely directed to 4?−5?−5??

A: Topic:-  vector algebra

Q: Consider the function y = 5x4-4x3-3x2+8x-12. What is the average value of the function on [-3, 1] ?

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Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

Q: 1+cos4x 1. 1-cos4x -csc2xdx

A:

Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

A:

Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: What is the magnitude of the vector cos 0 i + sin 0j+ 1? 01 O2

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 13, –10) Vw(5, 13, -10)…

A:

Q: (3 - 2 3 – 4cos dx

A: The given integration,     ∫3-4cosxπ2 dx

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: I am going to solve the given problem by using some simple calculus to get the required result of…