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Q: On what interval(s) is f'(x) increasing? Decreasing? Explain.

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A: Surface Area of the solid generated by revolving about the y-axis ,S = ∫x=ax=b 2πx 1+dydx2 dx

Q: 4. Find the directional derivative of f (x, y, z) = e* cos(yz) the point (1,-2.0) in the direction…

A: I have authority to answer only one question, so  I am posting answer for 1 st question

Q: Find the absolute maximum and absolute minimum of the function f(x)=3sin(x)cos(x) over the interval…

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Q: x² Consider the function f(x) = =*. x2-1 (c) Find the intervals of concavity and the points of…

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x – 1)(x…

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Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

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Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0.…

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Q: Find the equation for the line tangent to the curve 2e"y = x +y at the point (2, 0). Explain your…

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Q: Given the slope field below, which function describes the given graph. A. y' = x? + y +1 B. y' = x*…

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Q: At which of the given numbers, the following power series is divergent? 10" x" n! n=1 O a. None of…

A: Ratio Test : Suppose we have series ∑ an.Define, L =limn→∞ an+1an , then(i)  If L<1, series…

Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ei, find…

A: Given Data: a(t)=secht2tanht2-et2 Solution: Let v(t) be the velocity. We know that, dv(t)dt=at…

Q: n3 + n? ) Σ 00 (n – 1)! n=1 2n + 3 n2 In n n=1

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Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

A: Given query is to find the integral.

Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

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Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &…

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: dx Vx4 – 2x² + 1 3,

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Q: Sólvé thé équátión ón the interval U30<2T. 0<2x. 4 sin 0 + 5 = 7

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Q: Graph y = - cos (x -) by Transformation of y = cosx. Show and label each Trigonometric function…

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Q: etermine the absolute maximum and absolute minimum values of the function f(x)= x2 - 11x + 18, where…

A: Given: f(x)= x2 - 11x + 18

Q: 2x-9x+2= 4x-13

A: Given query is to find the value of x.

Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

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Q: 27T 3. x y2 and x + y = 2 is revolved about y = 1. (Answer: C. u.) 2

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Q: Given the vector ủ = (2,0,1) (a) Solve for the value of a so that ū and i = (a, 2, a) form a 60…

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Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation 3 =y…

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Q: Зх—5 dx (х+1) (х+2)2

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Q: 24 – 49 dy 2+ 49

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Q: dz Draw a dependency diagram and write a chain rule formula for and given the functions below. z=…

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Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: According to our terms and conditions we are solving one one part. Please repost other parts again.…

Q: b) Find the values of a and b so that the unction f(x) = x + ax + b has a local maximum at the point…

A: Given function f(x)=x2+ax+b The local maximum at the point(7, -6) We need to find a and b

Q: Determine the angle between OR = (1,-2,3) and OT = (5,-3,2) %3D

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Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

A: We have to find the inverse laplace transform.

Q: Find the linearization L(x,y) of the function f(x,y) = e 4* cos (y) at the points (0,0) and 0, The…

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Q: Find the horizontal and vertical asymptotes of the graph of each function. Do not sketch the graph.…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Given:-the region bounded by y=sinx, x=0 and y=1revolving about y=1using washer/disk…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Question 2 Find the differential dy: y= sin O dy E In a + sin( rVE dr Cos ( xY O (E) None of these…

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Q: The partial sum 1 +7+ 13 + .+ 175 equals Question Help: DVideo MMessage instructor Submit Question

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Q: f(x) = S, 0 1+x2

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