Sx cos²xdx

Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: Find the following for the given equation. r(t) = (e-t, 8t², 3 tan(t)) (a)_r'(t) = (b) r"(t) = (c)…

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Q: 3 A person can memorize words at the rate of words per minute. (a) Find a formula for the total…

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Q: Using the Mean Value Theorem, how small can ƒ(21) be, given the conditions below? f(3) = 17 and…

A: The objective of the question is evaluate the smaller value for f(21 )with help of given condition.

Q: Find the limit. m (5x³-3x+2)

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Q: Find the second derivative of f(x) = 7 sin(4x). Enclose arguments of functions in parentheses. For…

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Q: 1. f(x)= x²(2x+3) (x²+1)*

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Q: Find the absolute extrema of the function. et². 9 - h(x) = on [-3, 3] Absolute maximum value: (No…

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Q: Differentiate the function. (a) f(x) = x5/3 - 2/3 (b) g(x) = √x+x x2 (c) h(x) = = x 2-tan x

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Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives

Q: se the ALEKS calculator to evaluate each expre und your answers to the nearest thousandth. o not…

A: Topic = Algebra

Q: nd barely audible to the human ss the formula so that the expression in parentheses is written as a…

A: topic:- algebraa

Q: Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t =…

A: Solution is given below:

Q: th Find the 59 term of the following arithmetic sequence. 16, 19, 22, 25, ... 0

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Q: Find the area of the region bounded above by y = -x² + 2 and below by y = x². 4 3 2 & A wit 543-2-11…

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Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit…

A: The given limit is limx→2x-3x-2

Q: Answer the following completely. Prove: cos x + sin x sin y = sin(32) cos (2) for all x and y such…

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Q: The base of a three-dimensional figure is bound by the line x = -y - 2 on the interval [-5, -2].…

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Q: Find an equation for the line perpendicular to 2x + 8y = 32 and goes through the point (-7, - 2).…

A: Let's find equation of line.

Q: Plot four points and an asymptote. Then click on the graph icon. -9 8 1-6 LA 15 19 I 84 I 1 1 KL 71…

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Q: The figure shows the velocity function for motion along a line. Assume the motion begins with an…

A: Answer: As per guidelines we can do only first 3 subparts of question and solution is given below:

Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: Find the limit. 4 Ilm x3 52 5

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Q: Find the sum of the series. En(n-1)ylyl < 1 +7 n=2

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Q: (2x-6) ¹² 3. h(x)= (3 + نمو)

A: The objective of the question is evaluate the derivative of the given function.

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t): = 7 cos(t)i…

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Q: + -3 -2 3 lowest = middle = highest- 2 1 -1 1 3 For the above rational function f(x) = + a 17x 3.5r2…

A: f(x)=17x3.5x2+2 We know, if x=a is the inflection point of f(x) then f''(a)=0

Q: 6. Using the method of variation of parameters, what is the form of a particular solution of (D³…

A: The given DE is: (D3-4D)y=x-3e2x Suppose it has y1, y2, y3 are solutions to the associated…

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: Consider the following. 1(x) = {x²-1 -2 If x 1 If x= 1 y X Use the graph to find the limit below (if…

A: The given function is f(x)=x2-1  if x≠1-2      if x=1We have to find the function value at x=1

Q: Question 2. ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and…

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Q: Give the interval where y is decreasing y=x²e^x

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Q: Problem 3.11 Calculate the differentiation of tan(x/y) = x + 6

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Q: 18) . Find the solution to the initial-value problem. y' = 2xy(1 + 8y), y(0) = −1 y =   PLEASE…

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Q: For log, 2, (a) Estimate the value of the logarithm between two consecutive integers. For examp (b)…

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Q: The base of a three-dimensional figure is bound by the line y = 6 - 2x on the interval [-1, 2].…

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Q: of a) Sketch the region of integration and evaluate the double integral [.. Work Problem 1 b) Change…

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Q: 2 if x = -4 Select all statements below that you agree with. Note: You may be checking more than one…

A: Please refer to the image below

Q: You are given the graph of a function f. YA 2- 0 Determine the intervals where the graph of fis…

A: Consider the graph of f

Q: Find equations of all tangents to the parametric curve that pass through the point (4, 3). In…

A: We have to find the equation of tangent lines.

Q: Consider an object moving along a line with the following velocity and initial position. v(t)= 12-4t…

A: Solution of given question is written in below steps.

Q: - - Find the fourth derivative of f(x) = 5 + ln (x) — 127.

A: Topic = Derivative

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: Let f(x) Calculate lim z→-5- lim 2-5+ (−4 − x)² +3 if x = -5 4x + 23 if x = -5 the following limits.…

A: Given  f(x) = (-4-x)2 +3 if x≠-5  4x+23       if x= -5

Q: What formula will describe the average rate of change of f(x) = 3* over the interval [0, 3]? Don't…

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Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: Use the parametric equations of an ellipse x = 10 cos 0 y = 22 sin 0 0 ≤ 0≤2T to find the area that…

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Q: A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t) be the number of…

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Q: 3. Which of the following linear differential equations can the method of undetermined coefficients…

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