3 (x³-4x)dx

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

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Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

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Q: A discrete random variable X has the following probability distribution: 3 4. 1 2 P(X) y 9 1. Find y...

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Q: The function f is shown below. What is the value of | f(z) )dx? Write your answer in simplest form. ...

A: Topic:- integration   

Q: Prove the identity It tanh(x) tanh (x), 2x

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Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: sec°(x) -dx V cot(x) со X

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Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: ds using the trapezoidal rule and Simpson's rule. Determine Evaluate The value of -ds is (Round to f...

A: Topic:-  integration   

Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

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Q: 6. Given the space curve r(t) = (t, 2et, e2t), find the tangential and normal components of accelera...

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Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: Using IMPLICIT DIFFERENTIATION, find y'. 2ху + 3y y = 4x' – 5x'y Ах'у? + Вху + Сху - 24y? y'= Dx°y² ...

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Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: Sam's Smoothies serves many kinds of smoothies by blending fresh fruits and yogurt. Alex loves smoot...

A: Given query is to find the amount spend on smoothie.

Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: S(2y + 3)?/ y+ 2 dy

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Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka > 2sin 2 ...

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Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx

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Q: Find what value of c does L dx = 1 ? x4 Answer:

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Q: Region R in xy-plane is bounded by the curve y = 9sin(x) and the x-axis, between the lines x = 0 and...

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Q: The function f is shown below. What is the value of f(x) dæ? Write your answer in simplest form. Gra...

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Q: Evaluate using substitution techniques

A: Given

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: 1000 The logistic growth model P(t)= represents the population (in grams) of a bacterium after t hou...

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

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Q: Let us try to find where a function is increasing or decreasing given the following. 1. y = 2x –...

A: A function of x is given.We need to find the function is increasing or decreasing in the given inter...

Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

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Q: A hole of radius r is bored through the center of a sphere of radius R. Find the volume V of the rem...

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Q: INTEGRAL CALCULUS ACTIVITY 3 GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solu...

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

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Q: Suppose f(x,y) = sin-' (6 – 2x2 – y²) and g(x,y) = 4x2 – y2. Determine the continuity of the functio...

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: Martin went to the store and bought toilet paper and paper towels in March of 2020 and sold them to ...

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Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ln(x2+1)

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Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: 19. Differentiate the following functions. e) f(z) = z? cos 2z + z sin (z?) f) y = In ( sec 2x + tan...

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: %3D %3D a. m 1 b. mZ2 X C. mZ3 P. T

A: Given: 1. PT is tangent. 2. mMXP⏜ = 186°3. mNP⏜    = 90° 4. Point 'O' is a center of the circle.  -...

Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: | sin 2x cos7x dx

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Q: y2)dx = xdy when X2 ; Y- 3

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Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

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