Evaluate limx->-12     x2+12 / x2 + 27x + 180

Q: 2) The complex conjugate of z is denoted as z. Solve for z in the equation: z – 12 = j(9 – 2z) %3D…

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Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

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Q: Find the derivative of the trigonometric function. y = cos(7x)

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Q: sin“ (x)dx 4

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A: We have to use properties of discriminant to solve the question

Q: Evaluate the integral over the rectangle R: (a) |/ ev dA, 0 < ¤ < In 2, 0 < y < In 2 R (b) dA, 0 < x…

A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

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Q: Estimate the limit numerically or state that sec (x) lim x→1+ vx³–1 (Enter DNE if the limit doesn't…

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Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

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Q: 2 Let f (a) - >-4. (a) Find f (z), the inverse of f(z). (b) Determine the domain and range of f(z).

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Q: The integral expression J xcos (2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)*. Determine the…

A: The given function G(x)=x+ex2

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Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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A: Find the x component and y component of each vector and then add them.

Q: (2x-3 ifx22 6. f(x)= -2x+2 if x< 2 if x2-2 x+2 7. f(x)=-x-1 ifx<-2

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Q: The coefficient of sin(x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not…

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Q: Sxcos°(2x)dx, Sudv=uv- Svdu, Let UV- ntegral expression can be evaluated using integration by parts…

A: We will find the integral and then the value of f(x).

Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

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Q: Find the area bounded by y = 2 - x squared and y = x

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Q: 1. Y = eee*

A: 1.Solution :y=eeexdydx=eeexddxeexdydx=eeexeexddxex

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A: The given equation is 2y=3xy2+x2 ......................................... (1)  Differentiate with…

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Q: Let x = 0.1 and y = 4.73. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal digit)…

A: C=3.61 I have done solution step by step in detail....go through the solution

Q: Sinx-x+ (Taylor Series Using Power Series X+3!

A: Power series of sinx is x-x33!+x55!-x77!+... .

Q: 2. f(x) = -7 tanx 3. y = 2 cscx 4. y= 4x cos x

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Q: find dy/dx for each function

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Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

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Q: 10+ 8- 6- -6 -5 -4 -3 -2 -1 12 3 4 5 6 -2 -4 -6 -8 -10 The function graphed above is: Concave up on…

A: Solution

Q: Find the indicated partial derivatives. f(r, s, t) = r In(rs®t®); rss' rst frss(r, s, t) = frse(r,…

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Find dy/dx by implicit differentiation. x5 + y6 - 63 dy/dx =

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A: Given query is to find indicated angle.

Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)² value of f(x) +…

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Q: Estimate the limit lim,2+ numerically or state that the limit does not exist. x-5 x²–4 (Use decimal…

A: we want to find the value of limit when x goes to 2 towards right side  limx→2+ x-5x2-4

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k %3D v = 7i +j- k O…

A: Given u = -7i + 48j - k v = 7i + j - k

Q: The figure shows the graph of a cubic polynomial. 1,e 1,0 -6 The function graphed is f(x) = Hint:…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Stan-1(2x)dx. (1 ( Use 2 decimal digit) Let x = 0.29 and y = 1.69. Determine the value of C when you…

A: Given the integral,        ∫tan-12x dx Note:     Multiple questions are given, we are answer only…

Q: 18. x² Cos(xe) find Taybrs Series using power X=0 Series operations.

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Q: Using two or more complete sentences, describe how you can find a vector parallel to 6 = (-3,2).

A: This question can be solved using the concept of parallel vectors.

Q: Use the Ratio Test to determine the radius of convergence of 8. x" Vn- 97 Then determine whether the…

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Q: Find dy/dx by implicit differentia exly = 7x – y y' =

A: Quotient Rule of differentiation : ddxuv = v.dudx -u.dvdxv2 dexdx=ex dxndx=n.xn-1

Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

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