Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x) =

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A: Here we have to use the concept of the trigonometric ratios

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A: Solution in done in step 2

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A: (b). Given: limx→0+lnxx

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A: In this question we have to find the value of s(t).

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

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Q: Evaluate the definite integral. 15t L² (elst i + e i+e¹j+t k dt 1 k)di

A: Here we have to use the concept of definite integral.

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Q: Differentiate: arcsin (# )+ 0 1 (E) None of these O x/y O y/x 00 + arccos (-) = 1

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Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: r² + 2xy + 4y² = 12, (2, 1) (ellipse) Description: Derivative Slope € O and Equation of tangent A…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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A: Given: y=5xx2-1 Solution: Intercept: x-intercept is a point on the graph where y=0…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j|| dt =

A: ||xi + yj || = √x^2. + y^2

Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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Q: 6. 2x³ cot x4 dx 7. S x4 sec (x5 - 9) dx 8. Stan ³ x dx

A: We can solve this as follows:

Q: The graph of f(a) shifted right 3 units and shifted down 5 units. Of(r). 3-5 Of(x)= -3+5…

A: Let's find.

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A: Explanation of the answer is as follows

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Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

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Q: Write the first four terms of the sequence whose general term is given below. a₁ = ( − 1)^(n+7)

A: Given, an=(-1)n(n+7) The first four terms of the sequence is given by,

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Q: Find the center and radius of a sphere with the equation: 8x + 4z = 1 − 2x^2 + 20y − 2y^2 − 2z^2.

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Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.

Q: :-In an oil refinery, a storage tank contains 200 gal of gasoline that initially has 100 Ib of an…

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + 53³k (a) r'(t) (b) r"(t)…

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Q: Jc = − xj; P(−2, −4), Q(-2,-2)

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

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Q: Question 11 > Suppose f(x)=√√. Give the function for each of the following transformations. The…

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Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: The revenue from the sale of a product is given by the function R=3000x-0.1x³ dollars. Use graphical…

A: Write an inequality to represent that revenue must be at least $39,960. 3000x-0.1x3-39,960≥0

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Q: Let C be the curve represented by the equations x = 3t, y = t², (0 ≤ t ≤ 1). In each part, evaluate…

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Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

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