3x2 – 4x + 5 (x – 1)(x² + 1)

Q: sin(-4x) cos 3x dx 1. 3

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Q: 5x2 + 20x + 6 dx x3 + 2x2 + x 3.

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Q: Evaluate the integral: S csc²xv1+ 3cotx dx. A. (1+3cotx) + c B. -3(1 + 3cotx) + c c. (1+3cotx) + c -...

A: Solve the integration

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 5 k3 d. + 2225 k k=1 k=1 п е. + 2n \n k=1 3.

A: We have to find summation of given series. 

Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: 3. Solve for fe)(r) given that f(r)% = sinh(3r)

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Q: sec22ydy cotzy(3+tan?2y) : 1n(3 + tan?2y) + C D. - In(3 + tan²2y) + C Evaluate the integral: J 1 С. ...

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Q: Evaluate and simplify the integral +x+3 ad +6xª +9 °

A: This is a problem of integration. Based on the general formula of partial fraction decomposition we ...

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Q: Evaluate fv*+1dx x2 A. 를 (1 +즐)를 -를 (1+ 즐)를 :. 를 (1-즐)를 -를 (1-2)를 + C + C + C D. + C Evaluate the in...

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Q: 1) Use the definition of the partial derivative to find af given, əx f (x, y) = x²y + 2x + y³ %3D 2)...

A: I am attaching image so that you understand each and every step.

Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

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Q: 10. Sketch the solid obtained by rotating the region undemeath the graph of the function y = xi - 2 ...

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Q: The area enclosed by the curve x² + y? = 25 is revolved about the line x -10=0. Find the volume gene...

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Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Show that, z''+4z'+8z=0 if z=e-2xsin2x+cos2x Formulas used: ddxsinx=cosxddxcosx=-sinxddxenx=nenxProd...

Q: In how many different ways can 5 bicycles parked if there are 7 available parking spaces?

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Q: Determination of Integrating Factors : Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 2x2 - xy...

A: We have to find the Integral factor and solve the equation. 

Q: Rate of Evaporation The Los Angeles Zoo plans to transport a California sea lion to the San Diego Zo...

A: Given : At any time t ,the blanket will lose water (due to evaporation) at rate proportional to the ...

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

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Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: I. Define the function S(In(r + 1)] cosha+ tan a ,r 2 0 (sinh r) sec- (r- 2) S(r) = %3D ,r < 0 1. Sh...

A: Since you have posted multiple questions, we will answer the first one for you, to get the remaining...

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 4n+1 (c) 2...

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Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3 ...

A: To find given integral.

Q: ds V9-s 9-52 + C 95 9s + C A. C. B. D. + C 95 69/

A: Given: I=∫dss29-s2   ...1   We know that, the trigonometric identities. 1). 1sinx=cscx 2). sin2x+cos...

Q: Find the area bounded by the curve xy 2 and the line x+y%3D 3. A. 0.17 sq. units B. 0.11 sq. units C...

A: Let's find. 

Q: Express the sum using summation notation. Use the lower limit of summation given and k for the index...

A: We have to calculate summation

Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (n 2)/4 c....

A: Note:- Final answer is not match from any option i am providing you solution. please check it

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of...

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,...

Q: dx Evaluate J x+5 A. Arcsin ( x +2) + C B. Arcsin (x +1) +C C. Arctan (x + 1) + C D. Arctan ( x + 2 ...

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Q: Determine the area bounded by the curve y-9x/5 and the line y=x-2 A. 3.43 sg. units B. 6.86 sg. unit...

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Q: Suppose that f and g are integrable and that -1 f(x) dx = 5 h(x) dx = 4 7, dx = %3D Use the rules to...

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

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Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85. I...

A: We have to find 'd'. 

Q: a. Solve the following inequalities and write the solution in interval form i) 212x+7기 +224

A: This is a problem related to linear inequalities. Based on the concept of modular function we will a...

Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Wher...

A: This is a problem related to numerical method. Here two ways are given to solve differential equatio...

Q: 3n 2n n S " S"(sin x + cos y)e? dx dy dz 2n 'n A. 2n(e2n + e3™) в. 2п(е2т — езт) c. 2n(e3™ + e2") D....

A: Given: I=∫2π3π∫π2π∫0πsinx+cosyezdxdydz   We know that; ∫sinxdx=-cosx+C∫cosxdx=sinx+C∫exdx=ex+C And ∫...

Q: Find domain and range to the following function Y = tan (cotr)

A: We will see that we have the following restrictions on domain of the function

Q: If L is a line in 2-space or 3-space that passes through the points A B, then the distance from a po...

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Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx = -(1+2x)...

Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: 3. Find the area of the region bounded by x = 3 – y and the line y = x - 1. Sketch the graph of the ...

A: Given: x=3-y2 &amp; y=x-1   Now find the point of intersection between the given curve and line. y=3...

Q: A statement S, about the positive integers is given below. Write statements S,, S2, and S3, and veri...

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Q: Solve for the Linear Differential Equation: y' + y = 1

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