1 The series > is convergent. (Зп + 1)(3п + 4) n=1

Q: 2 3 25. Ji dt 4

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Q: Find the integral of the following

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (a) P:4x-3y-6z - 2 0 P2: 12r +9v+ 18z-5 0 O Parallel O Perpendicular O Neither eTextbook and Media…

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Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

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Q: Discuss the continuity and sketch the graph. x-2 if x1

A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

Q: F. Boolean Matrices Го 1 A = 1 0 3-- [1 0 1] C=0 1 1 0 1 0 [1 1 1] D= 0 0 1 |1 0 0 Let B = [1 0 0 1]…

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

Q: dy J 1+y+1

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Q: 3x cosh a dx. 6. Calculate the definite integral, Jo -

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Q: | (3 + xx) dx

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Q: find the Inverse LaPlace Transform, L-1{F(s)}. L~1 s2 А. (t - 1)*и(t — 1) В. t u(t - 1) C(t – 2)U(t…

A: Given, L-1{e-s/s²} We know that, L-1(e-s)= theta(t-1) L-1(1/s²)= t

Q: 2 (In x dx U.

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Q: x*-6x³+e* Vx dx

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Q: definite integrals: Show complete and detailed solutions. Express your answers in simplest form…

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Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: Consider the following function. ix) = cot Create a table of values for the function. (Round your…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8, 0,…

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Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

A: Find your answer below

Q: Given, 1 ) dæ + ( y6 Ах + 1 :) dy = 0 y7 is an exact differential equation. Determine the value of A

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Q: dy cos x + (sin æ) y = 9 dx y = 9 sec - C cos æ y = 9 sin a ++ C cos x y = 9 sin? x + C cos æ y = 9…

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Q: Find dy/dx and d'y/dx? x = ½ t + 1, y = ½ t° - t, at t = 2 at the given point without eliminating…

A: This question is related to differentiation, We will solve it using given information.

Q: Find the directional derivative of f(x, y, z) = 5y at P(5, 1, –4) x + z in the direction from P to…

A: We have to find directional derivatives for the given function.

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: Given: A(3,-3,5)  B(5,-5,2)C(-1,-4,2)D(4,1,-8)

Q: y = 1 - x 2- 1- 3 -3-

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Q: Consider the following. -2 ifx -1 if x = -1 fix) = -2 y -2 -1 <-1 -3 Use the graph to find the limit…

A: We need to find limit at x→-1.

Q: Suppose that f '(x) = (x + 7)(x + 4)²(x – 6)³. By examining the zeros of f'(x), identify the…

A: We will find the x- coordinates of the local maxima and minima using the first derivatives test as…

Q: There are 14 children at a pirate-themed birthday party. You are going to draw four names from a hat…

A: By the knowledge of permutations and combinations we can approach this type of problems.

Q: pon homogencous Lincar ODE y'+3y = 18x² yro)=-3 y'@)=0 And exace sol'n 5.

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Q: 33. Compound Interest If $2000 is invested at an interest rate of 3.5% per year, compounded…

A: Given query is to find the future amount for the given years.

Q: Use the shell method to write and evaluate the integral that gives the volume x + y? = 16 y 4| 3 2.

A: In this question we will use basic concepts of calculus i.e concepts of volume of solid revolving…

Q: Question Consider the graph of f' (x) shown below in blue. Submit your answer to this question by…

A: 1. How many local minima does f(x) have? Slide the black point on upper left corner of the graph to…

Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

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Q: 18 3. dz 36.

A: Topic = Integration

Q: | cos(V) dx 2 Vx sin (Vx)-2 cos (Vx)+C C 2 Vx sin x (Vx)-2 cos (Vx) + C 2 Vx sin (Vx) + 2 cos (Vx) +…

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Q: 2 * - 3 dy 4. S 1 y +y 2

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Q: 3 -5 6. Evaluate the determinant for the following matrix: 1 O A. 8 О В. -2 О С. 5 O D. -4

A: Solving the problem by finding the value of the determinant.

Q: * | 2x)cx csch (2 sin -1 V1-4x²

A: The given integral,       ∫csch2sin-12xdx1-4x2

Q: Q4. The following set of data represents the number of families (n) moving into a new town as a…

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Q: Evaluate the integral of x(x – 5)1²dx with limits from 5 to 6.

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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A: Product Rule of integration : ∫u.v dx =u.∫vdx -∫dudx∫v dxdx ∫yn dy =yn+1n+1+C ∫cosu du =sin(u) +C

Q: dx xVx -1 6.

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 4j. NOTE: Enter the exact…

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Q: C Solve the following problems. 16. What value of k makes the function continuous at x= 3? Graph the…

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Q: 5dz 1. (:+4)VE+1

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Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

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Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: Calculus please answer a, b, c, d, and e

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Q: 5: Evaluate dw/ dt at the given value of t, by using the Chain Rule and by expressing w in terms of…

A: Derivatives using chain rule

Q: find the Inverse LaPlace Transform, L ¯'{F(s)}. 32 L-1 + 4s. А. 4 — 2сost 8 – 8cos2t С. 8cos2t D. 1…

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