dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None of the above B E

Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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

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Q: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle.…

A: Explanation of the answer is as follows

Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx) + (Inx)* +.= 9

A: Use the formula of sum of infinite gp series and then simplify.

Q: do you have a solutuon for this?

A: Definite integral property : If f(x) is continuous on a,b and a<c<b ,then              ∫ab…

Q: 4. Evaluate the following limits: sin x (a) lim x-0 x³-7x2+10x (b) lim x→2 x2+x-6 sin at (c) lim…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

Q: 20 The slope of the function ƒ(x) = 5x - 5 is ______. 1 -5 5 -1

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Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: Consider the contour represented in the following figure. The points marked on the figure are А(5,…

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Q: . For what value(s) of c is f(x) = 54-x³, x < 3) %3D lcx² + 13, x 2 3) continuous everywhere?

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Q: 2x lim

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Q: 1+x² -dx

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Q: A rocket is being launched. After a while, it rises at a constant velocity of 40 miles per second.…

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Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

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Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION 1. (D^3 – 3D^2 – D + 3)y = 0

A: The given differential equation is: D3-3D2-D+3y=0 So, the auxiliary equation is: m3-3m2-m+3=0

Q: 2. Solve the initial value problem dx dy 1 = 2x x + 0, y(1) = 5. 3. Solve the initial value problem…

A: We solve the given initial value problems below.

Q: -2 is a critical number of the function f(x) = V2x - x². Select one: True O False

A: We can solve this as follows:

Q: Calculus Question

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: The given function is: f(x)=x5+4x3+x, a=4f(4)=45+4(43)+4=1284f'(x)=5x4+12x2+1,…

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

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Q: (4) Consider a product whose unit cost is $3/item and whose demand function is given by 50000 D(p) =…

A: Profit function: Subtracting the cost function from the revenue function yields the profit function.…

Q: The series 1 Σ 2 (-1) "-1. 00 n=1 1.8 is absolutely convergent. Select one: O True O False

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Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: I would like to ask how 00 became 1? I think it is undefined.

A: Given;  Limx-0+Sinxtanx.

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + - at the point…

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Q: The integral of the given function J_1 Jœ+2X3=x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

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Q: can you write it on paper, I don't understand it like that

A: We have the solution as follows:

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: ) (y nx) ny dx + dy

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Q: Can you clarify the first part again, does it mean that the relative maximum, minima, and horizontal…

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Q: x +1 -dx x3 +1

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Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: Use

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Q: (x + 4)(x – 2) f(x) = x2 -2(x – 8) f'(x) = x3 4(х — 12) f"(x) = - x4 ) Find the intervals of…

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Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: Sx? cosh 5xdx

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Q: 0 1 - 18 -6. A = Find the eigenvectors of the given matrix: [B] i

A: We have to find the eugen vectors.

Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec r dr Vr…

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Q: The following series is not an alternating series. (-1)2n n=1 Vn2 + 6n Select one: O True O False

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Consider the function f(x) = x2+1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: 2(-1)"-1 n²+4 n – 1 | n=1 n²+ 3

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Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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Q: What is the absolute maximum value of the function f(x) = x – 3x2 on the interval [-2, 3] ? a. None…

A: Given the function is f(x) = x3-3x2 on the interval -2, 3.

Q: answer

A: We will find the second derivative.

Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: Use the Root Test to determine whether the series convergent or divergent. n² + 8 " 3n2 + 2 n- 1…

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