Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а О С. f (х) — 2а + 1

Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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Q: Evaluate the definite integral 8 | (2x + 4)dr 2

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Q: Find and classify the critical points of the function f(x, y) = x² + 2xy+ 3y + 2x +y . %3D O (-2,1)…

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Q: S x²(csc2x³)(cot2x³)dx

A: Given ∫x2csc2x3cot2x3 dx To evaluate the integral:

Q: Let g(x, y, z) = %3D Vx? +yZ +zZ Let 3 ターx? V9-x2-z2 V9-x2J9-x2_ ,29(x, y, z) dy dz dx

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Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

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Q: Does the following series converge or diverge? 2 (-1yn+1n+ Vn n2 +1 n+ yn n= 1 O The series…

A: Given query is to find series converges or diverges.

Q: Question Evaluate the following limit using L'Hospital's rule. 72 6x lim -4 Lx? – 5x + 4 Provide an…

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Q: Example For the curve y = f(x) = x², 0 <x < 2, its length is dy 1+ dx L = dx %3D

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Q: [sinh(x)(x² + 7*)] dx

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Q: Find the indefinite integral. 4 +2x-1 da In++c 0+1 O In\# + 1| – 3 ln|| – !+C none of these 0!+In\a*…

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Q: c) By using the int 00 series is s c n=1 detail solution.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Evaluateſ dx. Α.x+C В. х С. —х + C D. -x

A: The given integral,         ∫dx

Q: find the total derivative of z = f(x,y) = 2x+xy-y2 where x=g(y)=3y2

A: Given function: z=2x+xy-y2 where x=3y2 Putting the value of x in z , we get…

Q: 11 E cos(Tk) : k=0

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Q: Let an and bn be infinite serics with positive terms. Which is a conclusion of tl n=1 n=1 Limit…

A: option (a) is correctsee below the clarification

Q: how do i solve this calculus question ?

A: In the given problem we have to find out that whether sequences are monotonic are not .

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). f(x) = -5x + /25.x² – 3x Provide…

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Q: 1,470,000 - $500,000 +$X <$6,150,000.

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Q: One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as £…

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Q: 10 dr is The value of J5

A: The given integral,            ∫5101x2dx

Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

Q: Consider the following lines: 4:z=1,y-1=-4,2=1-3t :z=2s+1,y=1-3s,z=1 y+1 z-1 2a Find the…

A: Explanation of the answer is as follows

Q: If this test had 13 questions, how many ways could you get 7 questions correct? Answer:

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Q: Suppose f: I R is increasing, for some interval I. Show that lim f(x) < f(xo) < lim f(x).

A: This question can be solved using the definition of increasing function.

Q: A company has a fixed monthly cost of 600 and a production cost per unit of 45, if the sale price…

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Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

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Q: 14. In(1+ x?) da

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Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Question The statement below is of the form f(x) dx = F(x) + C. %3D Verify whether the following…

A: Note that: ∫(20x3-5cos(x))dx=20∫x3dx-5∫cos(x) dx=20x44-5sin(x)+C=5x4-5sin(x)+C

Q: Use the Taylor polynomial of degree four for the function f(x) = Vx + 4 at x = 0 1 P4(x) = 2 + 7x- 1…

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Q: Matrix L is a 2 x 5 matrix, matrix M is a 5 x 5 matrix, matrix N is a 2 × 2 matrix, and matrix P is…

A: Rule for matrix addition:A matrix can only be added to (or subtractedfrom) another matrix if the two…

Q: Find the equation of the curve that passes through the point (5,4) if its slope is given by…

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

Q: Use linear approximation, i.e. the tangent line, to approximate V27.1 as follows: Let f(x) = VT. The…

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Q: Determine whether the series is convergent or divergent. If it is convergent, write its sum. Justify…

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Q: If a >0 for all n, and the series 2 1.6 a is convergent, then the series 2a is also convergent. n=1…

A: Given that an&gt;0 for all n and the series ∑n=1∞(1.6)nan is convergent.

Q: Find the area under the graph of f over the interval [5,8]. 4x+1, for x s7 = (x)] 50-3x, for x>7 The…

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Q: Given: In(1 + x) =(-1)". - xn+1 if |x| < 1. n +1 n=0 Find the Maclaurin series for f(x) = x ln (1…

A: Here given that: ln(1+x)=∑n=0∞(-1)nn+1xn+1  ...(1)if |x|&lt;1

Q: The amount (in milliliters) of a certain drug in the bloodstream x minutes after being administered…

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Q: Find a polynomial of degree 3 such that f(0) = 5, f'(0) = 10, f''(0) = 15, and f'(0) = 20. P3(x) =O

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Q: Find the length of the curve y 12z/2 - 4, 1 <I 2. %3D Find the limit of tl.

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

Q: If a student is chosen at random, what is the probability that: Write your answers in percent form.…

A: We have to find the probability.

Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: A 25-y -year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake…

A: Integration

Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: 1. Consider the function A(x) = -tan(x- x). Determine the equation of the tangent to the curve (x)…

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