1 Given that A = 1/3 and A? = -I, d C What is the value of d?

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Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: dx 9) Which is equal to ? 1+e* A. x+ inh + e*|+C x-mh + * + C C. iml + *" -x+C D. Inh -e*|-x+C В. х…

A: solution is given below

Q: What is the value of a so that In (e") dx 6? ... A.) 0 В.) 1 C.) 2 D.) 3

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Q: What is ∫3x^4(−x^5+5)^4 dx? Do not include the constant "+C" in your answer. For example, if you…

A: We have to find solution

Q: e dz when : C, = {z e C:|z|= 1}

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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: d For which value of a does the expression (ax") : 5bæ"-1 hold true if b # 0? dx 1 -1

A: Given ddxaxb=5bxa-1...(1) Then, we have to find the value of a if b≠0

Q: 2. Evaluate the following: (a) ſi a*dx (b) , x²(}a* +1)dx (c) L,(ax² + bx + c)dx (d) „"(; + )dx…

A: "Since you have asked a question with multisubparts, we will solve first 3 parts for you. To get…

Q: 1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

A: We have to find the value of b.

Q: For what value of c does dx 1? 10 X

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Q: 1 -dx ? x2 – 16 Which of the following is equivalent to |

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Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: /2 ( 2) (2a- z) dr x2) ? dx • B I A , E E E E 8 &

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Q: 3. The value of E(x-μ|²) is Oi A. 0² B. 20² √π

A: Answer : - Find the value  E(|X - μ|2)   is

Q: L. Given 2+ 2r + br - 19z +15 - cx + dx? + ex +f, find the values of b, c, d, e and f. * + 2r +5 INP…

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Q: Evaluate the following 1, $(3x – y)dx + (x + 5y)dy ,where C = x² + y? = 1 2.6(2y + 1+x5)dx + (5x –…

A: We have to evaluate the line  integral over the closed curve . Here I am solving first question if…

Q: d² y If ax? dx? 3. Find + 2 hxy + by = 1, h? - ab Ans. (hx + by)

A: So in this we have to differentiate twice. I'm providing hand written solution.

Q: Given that 3xVx² + 4 dx = 5/5 – 8 what is [ 3u /u? + 4 dư?

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Q: d Suppose a E R, where a > 0, a ± 1, what is [a*]? ... dx a" In(a) ... A xa*-1 B ... ... xa"-1.…

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Q: 8) The force generated from the rodless chamber in a pneumatic cylinder is given as: where d is the…

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Q: d Suppose a E R, where a > 0, a + 1, what is [a*]? dx A) ® xa"-1 e ra*-1. In(a) (c) a" In(a) D

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Q: Detailed derivation is required. 3 F(s) = s (s*+28+5)

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Q: 7. Find (a). pln e" sec? e" dx (b). 2V5x3+4 dx

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Q: If $S² A 2x²+x-2 (x+1)(x²+1) (В NIG NI- S None -dx= B(2x) +C1 14.0+. dx, then the value of B is…

A: We can answer the question for the value B as below.

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: Solve the following problem. n = 25; i = 0.039; PMT = $292; PV ? PV $ (Round to two decimal places.)

A: Formula:

Q: b. Given that y=2x - In x find expressions for d y and dx a. dx

A: we have,  ddxxn=nxn-1ddxlnx=1xddxaxn=addxxn

Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: If the approximated value of , 16x³ dx using Simpson's rule is 260.03, then the error in the…

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Q: 10. (2ху*eУ + 2хуз + у) dх + (x?y*eУ — х?у?— 3х) dy — 0; when x - -1, у — 1

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

A: Taking substirution method we have

Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6

Q: L FA 9 8 Given that T = 2л, express L in terms of , T and g.

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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: For what value of k, if any, is * kxe-2a dx = 1?

A: Consider the given equation      ∫0∞kxe-2xdx  = 1⇒  k∫0∞xe-2xdx  = 1⇒ k = 1 ∫0∞xe-2xdx

Q: If: y3 ax°+ bx? + bx? ca + x? ---- find the value of dy dx for a= 8, b = 6, c = 4, x = 7.23 Give…

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Q: We have that 10 177 g (17x + 7) dx O a) 4 O b) O c) 17 Od) -4 24 17 g (t) dt = 4 I so what's the…

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Q: ye'xdx (4 + e?x)dy

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Q: S„Xg (x)dm , where E = { x : x € Q , -1< x<1 } %3D

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Q: ions f to h?

A: Month Folders Produced x Costs Jan 10 35 Feb 15 40 Mar 22 60 Apr 30 72 May 28 68 Jun 21…

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A: We have to find the derivative of ax It is given that a∈ℝ, where a≠1 and a&gt;0

Q: Sm(e*)dx = 6? ¿9 =: What is the value of a so that A.) 0 В.) 1 C.) 2 D.) 3

A: We have to find the value of a

Q: NDO OMY MNE R N A in MM ER D L L-IV AMRN DLA E DLA uwhat is value of CA tMt R+N a) is (b) 19 (e) 2}…

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Q: Σχ Ey Σχ Ey? Exy N 21 25 143 161 133 4 What is the correction coefficient (r)?

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Q: %3D My 4.e A e). Ae-/

A: According to the given information it is required to solve the differential equation:

Q: 4. The value of the coefficient of determination, R2 of Model 1: In y; = a+ Bxi + Ei is different…

A: The R-square value tells the proportion of variation in the response variable that is explained by…

Q: E Solve the following equation for x. y 4 In(e+7) %3D

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? from the given, solve the followin d) e) Zxy f) Zoxy

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Q: What is ∫3x(x^2+2)^5 dx? Do not include the constant "+C" in your answer. For example, if you found…

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