5) If s, (x7 + k) dx = 16, what is k? %3D A.- 12 В.-4 C. 0 D. 4

Q: Consider ,- (x3+y²). Evaluate dx² O (9x4+6x)e «³+y?) O (6r²+ 3x)e (x³+y?) O (6x4+9x)e (x³+y?) O…

A: The formulas used in the solution are as follows: 1. Chain rule: df(t)dx=dfdt·dtdx 2. Product rule:…

Q: Draw a picture that shows the difference between dy and ∆y.

A: We know that, Δy is the exact change in y-values. dy is the approximate change in y-values by using…

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Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: The approximate value of [(e²²x +4x² − 8) dx by combination of Simpson's 1/3 rule (n=6 segments) and…

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Q: 46. Let the assumed particular solution for the given DE be y, = (Ar³ + Bx² + Cx)e* + E. What is the…

A: A detailed solution is given below.

Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: jjj dx is equal to 3+ex 3+e 3 { A } I {C } In; 3 3+e 3+e 4 {В} In {D} In: 4 3+e

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Q: A If B C √ √ √(x + 1) dx (x+2)(x-1)² = √ [1+²+ = -1 + (-1²) x 2 (x−1)2 ]dx dx, the values of A & C…

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Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: Express the statement as an equation. Use the given information to find the constant of…

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Q: In 8 In y S S e*y dxdy x+y

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Q: Solve the ff. ( Inspection )

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Q: 2- Find the solution of the diff. equ. dy ty Six dx

A: First Order differential equation :        Consider the differential equation…

Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx…

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Q: If fit) = e-lt|, then (dx/1 + x2) =.. 2 2n

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Q: if *) = }32 st s Lf(x)dx=? find 2x ,x 1 O A) -4 О В) 0 O C) 4 O D) 2

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Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

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Q: d Suppose a e R, where a > 0, a ± 1, what is - dz

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Q: Evaluate o S, (4 – x²y?) dy dx

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Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking 3 h = 0.5, the value…

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Q: Which of the following is equal to / (2° – 7x)*dx = __" (x6 - (æ6 – 7x)5 + C ... O (2 – 7)5 +C ... ©…

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Q: The evaluation of S xy e*dxdy is 0.5 e 0.25 e- 0.5 O e-0.25 O

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Q: Express the statement as an equation. Use the given information to find the constant of…

A: Given: t is proportional to the product of x and y and inversely proportional to r.x=2, y=3, r=12…

Q: Suppose a E R, where a > 0, a ± 1, what is[a*]? d @ xa²-1 xa"-1. In(a) © a² a* In(a)

A: Use logarithms to find the derivative.

Q: 2. d m SZ 10em m ZK = f. e. 87 m ZQ = 68 Sem

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

Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: If x = u?(u? – 1)² and y = (3u2 – 1)², then what is the value of dy/dx? A) None of the choices (B) В…

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Q: d = e*, we must have that fe'dx = e*. Since dle)=e", %3D

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Q: 3 We were given that = 1²ex dx = @³² = e. 3 3 Therefore, •L²³ ex+ 5 dx = 20²³ [²³ ex α 2e5 dx =

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Q: In n (4) {} (e) {E 5Vn + Vn J

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Q: Since S xf'(x)dx = 2x3 + 2x2 + c if f(0) = 1, f(1) how much is it worth? O A) 7 O B) 15 OC) 8 O D) 5…

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Q: 8. If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG. %3D D F

A: All the side of rhombus are equal .anf  digonal bisect each other at 90°.

Q: Is it worthwhile economically to purchase the annual towing insurance at a cost of $50.00? a. Yes,…

A: X = Amount spending on towing Probability Does not need to be towed $ 0 0.75 Needs…

Q: 1 What is h(z) dz? 2ri C4

A: In this question, we evaluate the complex integral by using Cauchy integral formmula.

Q: If dx is between 3 and 6, then c must be between..

A: If ∫0c1x3dx is between 3 and 6 , then c must be between

Q: 6. Given: ZR 2U. T. R Which proportion is true? RT TX А. US RT SX С. SX US TX RX_ RT В. D. XT_ RT UX…

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Q: Given , S(x)dx =7, f, 8(x)dx =10, S h(x) dx = 5 and S(x)dx = -1 %3D [4/(x)dx Find 2.

A: We have to find the value of definite integration: ∫254 fx dx Where it is given that: ∫05fx dx=7,…

Q: 2. Evaluate 2 if y = ava a²-x, where a > 0 and a ±1. dx

A: dydx=-aa2-x2lnaxa2-x2 see below the calculation

Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: 27 dz, C: z(t) =t – ti, t e [-1,5].

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Q: 10. If f(x) dx = n, S 78(x) dx = 7, and So g(x) dx = 2, find the values of the following. g(x) dx b.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 19. Evaluate ra emax (b²x², a°y') dy dx, Jo where a and b are positive numbers and max (b²x², a²y²)…

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Q: Given Z = y? e-3* + 3y ; where x = In 2 a... y = 2 with possible errors Ax = 0.01 and = 0.03.…

A: GIVEN: Z = y2 e-3x + 3y, where x = ln 2, y = 2

Q: Solve the following problem %3D 0, 0 0, + dx² ' ay? u(0, у) —D 1, u(п, у) %—D 0, и(х, 0) %3D 0, и(х,…

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Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: 2 If [ In(ax)dx = 3, then a = %3D es 4 e4 4 O None e3 4 e6 4

A: Given that: ∫12lnaxdx=3

Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

A: