5. Given p # –1, find f x°lnx dx

Q: Given y = 6u - 9 and u = (1/2) x*, find dy/dx = f' (g (x)) g' (x). Select one: 12z3

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Q: Complete the following statement. If dy/dx is large, then small changes in x result in relatively…

A: The value ofdydx  is large so the small change in x results the large change in ybecause dydx…

Q: dy If y = 2varccosx-2/1–x² then is ... dx A. 2arccosx B. 2arcsinx C. 2x arccosx D. 2/1-12 А) A В) в…

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Q: To answer the following questions, suppose that Só f (æ) dx = 4 and S s (2) dz -6.

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Q: So, which of the following is the solution functiony(t) ? a) y(t)= sinh2t = e* %3D b) y(t) = sin2t –…

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Q: dg If g(xy)=e²yx².sec xy³ where x(u)=u eu and y(u)=u sinu³ Find np

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Q: dz Suppose z is a function of x and y, and tan vy? + x² = z*e®v. Solve for dz and dy

A: The given function is                                  tan y2+x2=zxe6y

Q: H/W n Find I tan2x dx

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Q: Find a particular solution yp = Yp(x) of the following DE d'y dx? 16y = 48x + 16x + 26

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Q: dz dz and ду Suppose z is a function of a and y, and tan Vy² + x² = 2e6y. Solve for

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Q: f(t) = cos(4t + 5) + e-tu(t – 6) + tcosh²4t |

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Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

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Q: H.W Find y' for y = ecosx tan (5x) * (5x? + 1)?

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Q: Find fx and fy, and evaluate each at the given point f(x, y) = sin xy, (2,  /4)

A: the given function is f(x,y)=sinxy. the given point is (2,1/4)

Q: Consider fx) = xsin(x), find f(T/2). A 0.03 в) 1.5 c) o 1 D.

A: Here we have to find f'(pi/2) for given function.

Q: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: dw (C): If w = tan x and x = 4t³ + t ; Find ? dt

A: Let's do derivative of given function.

Q: d²y If y=cos 2x, then at x= 0 dx? O a. 2 O b.4 O C. -4 O d.-2

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Q: 2 7 O Use the Trapezoidal rule with n= 4 to approximate the value of sin (x² )dx.

A: Given  0∫2√π sin(x2)dx  Let f(x) = sin(x2 )  Approximately the value f(x) by using trapezoidal rule…

Q: IF 2x?dx = ax + bln|x2 + 1| + d. arctanx + c x² + 1 Find a.b+d=? O A) -4 O B) HİÇBİRİ О С) 4 O D) -2…

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Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

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Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: If f(D)= D² – 2, then cos 4x is f(D)

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Q: Q4) If g(x,y) = x²y + cos(y) + y sin(x) Find gxxgyy, 9xy Iyx (2M)

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Q: [₁₁ ) If nd f*. f(x) dx = 4 and g(x) dx = 1, what is the value of ولاء f(x)g(y) dA where D is the…

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Q: f(t) = cos(2t + 3) + e¬tu(t – 4) + tcosh²2t

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Q: dz Suppose z is a function of z and y, and csc Vr² + yz = 2ªešinz. Solve for dz nd ду

A: Derivate partially wrt x and y respectively

Q: Which of the following equation is an exact D.E.? a) (x² + 1)dx –- xydy = 0 b) xdy+ (3x – 2y)dx = 0…

A: Let us consider the given equation M(x,y)dx+N(x,y)dy=0 The equation is exact if ∂M∂y=∂N∂x otherwise…

Q: Suppose V ~ Geom(p) withp=0.04 and that W = 2V. Find P(W > 8), giving your answer correct to two…

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Q: o find for: y = sin(x") + 2* +n

A: Given,          y=sinxx+2x+π

Q: 00 | f(x) cos axdx = S2 – a,0 2

A: Value of f(x)

Q: The max value of y=sin x is a.1 b.0 c.1/2 d.2

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Q: -dnd auf for the feaoy) =tan Cx+y). 3xし y

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Q: dz dz and ду IV. Suppose z is a function of x and y, and tan Vy? + x² = z"e©y. Solve for

A: We have to Solve as per given conditions.

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: If xy + e = e, find the value of y" at the point where x = 0.

A: First find y corresponding to x = 0 than take derivative of the given equation two times and put the…

Q: y = Ax tan(X), an dy 3T+3 %3D Find A. 6. 5 7 4.

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Q: Given that ƒ(1) = 5, ƒ′(1) = 4, g(1)= 2, and g′(1) = 3, find

A: Given- ƒ(1) = 5, ƒ′(1) = 4, g(1)= 2, and g′(1) = 3. To find- ddxfx·gxx=1 and ddxfxgxx=1  Identity…

Q: ..... Q.5 Show that s! dx= 2a"

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Q: Q4 Which of the following gives the length of the graph of TT y = In(sinx) from x =- to x 3 3 a) 3 1…

A: Given that: y=ln(sinx)  from x=π3 to x=2π3

Q: Suppose V - Geom(p) with p = 0.16 and that W = 2V. Find P(W > 8), giving your answer correct to two…

A: Solution .

Q: Determine dz for z = f(x, y) = e^(x2y2) if x changes from 1 to 0.99 and y changes from 2 to 2.02.

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Q: Suppose V Geom(p) with p = 0.09 and that W = 2V. Find P(W 2 8), giving your answer correct to two…

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Q: dz dz and Suppose z is a function of æ and y, and tan Vy² + x² = z#e6y. Solve for

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Q: H.W Find y' for y = ecOS X + tan-(5x) (5x2 + 1)?

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Q: 4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

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Q: B D 3. d²y and -both dx? dy 1. At which of the five points on the graph in the figure above are dx…

A: Given, The graph between y and x  Fiven points A,B,C,D,E  are given on the graph

Q: Which expression gives the length of the curve y = 4x from x=1 to x = 4 ? 4 (A) [ 4x°dx (B) |V1+4x…

A: Given query is to find the expression for length of the curve.