Determine the value of k given that x – k dx = 0 3x2 + 4x + 1 Select one: O None of these 1/3

Q: A. Using the basic formulas, integrate the following: 1. S(x* – 2x3 + 3x? – 1)dx 2. S(2x – 5)?dx 3.…

A: Explanation of the answer is as follows

Q: The approximation of 1 = f(x + 1)e** dx using composite Simpson's rule with n = 4 is: O None of the…

A: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1where Δ x = b-an, n is evenApply Simpson's…

Q: Find dy for the given values of x and dx. y = x3 - 4x2 + 2x + 1; x = 8, dx = -0.3 O-37 O 39 O-39 O…

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Q: Let k be a positive constant. k?x? for x > 0. 2 (a) Show that kx> 2 for x >0. k?x² -kx (b) Deduce…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: dy Solve the following D.E : 3x - y = In x+1, X. > 0 | dx

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Q: (2x+ 3 f) te* )dx t (dg e xyf+ £CW)dy=o find f)+o that makes this equahion exact

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Q: calculate SN given by Simpson’s Rule for the value of N indicated.

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Q: I. Evaluate the following and show all necessary solutions. Enclose your final answer. dx (x2 + 1)3…

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Q: Solve the following ODE by introducing integrating factor on the process of your calculation: x dy +…

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Q: Determine for which values of m the function 4(x) = x" is a solution to the given equation. Ta) 2x…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: If k> 0 such that O St the above 4* dx = 3 then k = 2ln 2

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Q: Solve the following D·E 2) x – 2y = x³cos4x dx

A: Given D.Exdydx-2y=x3cos 4xdydx-2yx=x2cos 4xTo findFind general solution

Q: For a non-negative integer n20, J,=| (In.x)" dx. Express J, in terms of J„- for n21. Hence, find J,.

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Q: P. Im(f(z))dz O equal to the above None of these

A: no these are not equal because

Q: 6. The value of S,2 esinx dx, by using Simpson's 3/g th rule is equal to (A) 2.09323 (B) 2.19323 (C)…

A: Option D is true.

Q: Find the antiderivative of the following: х — 5 - f(x) - 7 dx %3D

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Q: The approximation of fxln (x+5) dx using two points Gaussian quadrature formula is: 2.8191 4.08176 O…

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Q: Solve the following DE by using appropriate substitution. Evaluate y(x) explicitly. an dy Jy – 5x +…

A: Consider the provided differential equation, dydx=y-5x+4+5 Solve the provided Differential equation.…

Q: Find the value of a such that dx 1 a > 0 x²+a² Select one: 2 IT 1 2 O None of these

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Q: 4.2 Apply the appropriate method to calculate the following: x5+ I = S = s** dx x2 -4

A: Given  I=∫x5+x4-8x2-4 dx

Q: Evaluate the following and show all necessary solutions. Enclose your final answer. (x² + 1)dx | 5…

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Q: Q# What substitution should be used to compute V36–x² dx ? А. x= 6sin 0 В. x= 6tan 0 С. x= 6sec 0 D.…

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Q: k< -4 In?(kx + r) di In (kx + t): dx Find k so that kx + T

A: As from the chain rule, ddxf(g(x))=f'(g(x)).g'(x)     .....(1) If g(x)=kx+π⇒g'(x)=k And if…

Q: [ u#(u – 1)"-1 đu (1+x!/n dx = n

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Q: Use the error bound to find the smallest value of N for which Error(SN) < 10-9. 6 8x4/3 dx (Give…

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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: calculate SN given by Simpson’s Rule for the value of N indicated.

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Q: 1 dx Evaluate: , V1-x2 1-x² O T/3 none of the choices O T/6 O T/2

A: Given query is to find the value of the integral.

Q: Find the number m, such that the function y = ema is one solution of the ODE dy &y dy + 5- dx? = 0…

A: We will satisfy the solution with given ODE to get value of m.

Q: With the form of parhal frachun deomposition: A Bxt C A=1 (x-1)(x¥4) x-1 メー メ44 01 Evaluake x²+x+8…

A: The given integral is: I=∫x2+x+8(x-1)x2+9dx

Q: 3. (D² – D + 3)(x In x) 4. (D2— 3D + 4)(e* сos 2x)

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Q: d'y from the following: 3x-2 Let y = Identify the value of (x-1)² * dx? 3x (x+1)* 6x (x-1)4 6x…

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Q: Suppose E(X) = 4 and E[X(X – 1)] = 25.5. (a) What is E(x2)? [Hint: First verify that E[X(X – 1)] =…

A: Given: EX=4EXX-1=25.5 So, a) EX2-X=25.5EX2-EX=25.5EX2=25.5+4=29.5

Q: Write your answer using L (x) defined in the previous page. E (-1)" (2n + 1) / dx g² + n + 1)´ ( 27…

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Q: Given that 7 < f(x) < 8 for 1 < x < 2, | f(x)dx estimate the value of / s(x)dx < VI

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Q: Given h(x)dx=- and G(x)dx =What is [8h(x)-3G(x) ]dr? 3. %3D O Cannnot be determined O 2 O none of…

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Q: The diagonals of square LMNP intersect at K . Given that LK=1 , find LN. M 1 K LN =

A: Given  LMNP is a square  LK = 1

Q: Use the error bound to find the smallest value of N for which Error(SN) s 10-9. 4/3 dx N = 304

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Q: If [ f(x) dx = 12. g(x) dx = -2 and L₁ dr following gives the value of [[1²)+ 4 76 Sh +4g(x)- h(x)…

A: Given:     ∫-36fxdx=12     ∫-36gxdx=-2     ∫-36hxdx=-7

Q: 12. Find * so S e* dx dy 10 -1 e25 e25 2 e25 + 1 2e25 + 1 e25 e25 – 1

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Q: Find the G.S. about xo = 0 for the following DE's 2. (1 + x²)y" + 10xy' + 20y = 0

A: answer is in next step. please give a like !!

Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

A: Given diff. eqn. is  2xy-3x2dx+x2+ydy=0

Q: 1 5x+1 dx is a. None b. In(5x+1) + C 5 c. – 5ln(5x + 1) +C - d. 5ln(5x + 1) + C In(5x+1) + C е. -5

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Q: 9 Calculate (7x+x) dx, given the following. 9 10 J²dx=234 Jx*dx= 271 xdx = 36 3 3 9 9 [(7x+x) dx =|…

A: We need to evaluate the value of ∫397x+x2dx using the following :

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: d'y It is given that y=(1+x)² In (1 + x). Find dx 3 Prove by mathematical induction that, for every…

A: First it is required to find

Q: Evaluate the following 1, 6(3x - y)dx + (x +5y)dy where C = x2 +y? 1 2.6(2y + 1+x5)dx + (5x- e")dy…

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Q: Prove the reduction formula S x"e*dx = x"e* – n S x"-'e*dx

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Q: eAt = I + At + A²2 + + 2! k! k=0 o compute eAt and e-At (; ) 1 A = 0 2 eAt = e-At Need Help? Read It

A: Given, eAt=I+At+A2t22+...+Aktkk!=∑k=0∞Aktkk! A=1002A2=10021002=120022⋮Ak=1002⋯1002=1k002k