d the area of the region bounded by the curves y = 3x and y = x².

Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

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Q: тх sin nx dx

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Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: тх e COs nx dx

A: We have to evaluate the integral  ∫emx cos nx dx.

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

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Q: 13. A model used for the yield of an agricultural crop as a function of the nitrogen level in the…

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Q: Problem 5 Part 1: Consider a cost function where C(x) in Philippine peso is the total cost of an…

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Q: 3 |а2 — За + 2) da 2

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Q: Given f''(x) = 8x + 6 and f'(0) = 1 and f(0) = 2. Find f'(x) =

A: f''(x)=8x +6integrating w.r.t. x;∫ f''(x) dx =f'(x)f'(x) =∫ (8x+6) dx        =8x22+6x+Cf'(x)…

Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy

Q: (2x +3) dx x2 +4x +29

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = 6(x³ - x) g(x) = 0 y 10 f 4 -2 -2…

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

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Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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Q: 486 on the interval [8, 20]. Find the absolute extrema for the function on the given interval.…

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Q: х2 — Зх — 7 dx (x2 + х + 2)(2х— 1)

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Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

A: We have to evaluate integral

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 (?, ?) lim t+\6t2 + 7'5t

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Q: 24. Solve the system. [x, y] = [-9, – 1] + s{2,3] [x, y) = [-8,2) + 1{2.1]

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Observe the given graph and decide whether function is increasing or decreasing.

Q: Jse Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = V5…

A: We area asked to find the derivative of the function using fundamental theorem of Calculus

Q: 8. S 3tan 3z r sec? 32 da

A: As per the guidelines I can solve only first question

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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Q: 6. 2y²e»² dx + 2xye»*dy = 0

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Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

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Q: Which of the following graphs represents the polar equation defined by: r = 2+2 cos 0?

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Q: After we review on how to solve system of linear equations using algebraic methods (substitution,…

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Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

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Q: The multiple choice answers to choose from are A) (lnx)^2 B)2x^(lnx-1) lnx C) x^lnx-1 lnx D) 2lnx/x

A: We can simplify the answer: 2xlnxlnxx=2·xlnxx·lnx=2·xlnx-1·lnx  Because xaxb=xa-b=2xlnx-1lnx

Q: please kindly provide a clearer picture of the answer and solution, I cannot properly view it. thank…

A: Kindly refresh the page if you do not see the solution properly. I am sharing the image form of the…

Q: Evaluate the integral. 1 (4 + r)3 dr

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Q: 1 dx x+2

A: Given that a integration and we solve this integration by using general property of integration.…

Q: find the area bounded Curve y=V+5, line X=-- 6

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: Prove the following by Mathematical Induction 1. 1/1(2) + 1/2(3) + 1/3(4) +...

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Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: vergent, find its sum. (If the quantity diverges, enter DIVERGES.) 00 cos n° - Cos (n + 1)2 n = 1

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Q: x + 7 dx J (x²)(x + 2)

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: Assume the acceleration of the object is a(t) = -9.8 meters per second. (Neglect air resistance.)…

A: Given data÷ As you have suggested i have solved all steps of part 1.

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: The probability density function for a continuous random variable X has the form, Find the…

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Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below: