A. Find the slope of the tangent line to the parametric curve x=t/2, y = t2 + 1 at t = -1 and at t = 1 without eliminating the parameter. B. Check your answers in part A by eliminating the parameter and differentiating an appropriate function of x.

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A: Formula used: Dfg=gD(f)-fD(g)g2.....D=ddxD(xn)=nxn-1

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Q: Find f. f(t) = f "(t) = 4et + 4 sin t, f(0) = 0, f(T) = 0 X Your answer cannot be un

A: f''(t) =4et+4sintIntegrating both sides we get,⇒f'(t)=4et-4cost+c1⇒f(t)=4et-4sint+c1t+c2 Now,…

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A: Given Data ∠A = 104°a = 34 b = 17

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Q: Determine which, if any, define the same function f(x)=16(4^-3x) g(x)= (1/4)^3x-2 h(x)= 16(2^-6x) 1.…

A: I am attaching image so that you understand each and every step.

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A: I am attaching image so that you understand each and every step.

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A: Let vertical distance y = 138 horizontal distance x = 174 given triangle is a right angle triangle…

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A: Note:- As per your demand we solve part b for you Given function:- b) fx=3x-5

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Q: Compute the indefinite integral S t √4-t² dt.

A: Given ∫t4-t2dt Let u=4-t2 differentiating with respect to t, dudt=ddt(4-t2) dudt=-2t du-2=t dt

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A: z= 5x2+9xy+2y2

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A: We will use the concept of mean value theorem to solve this problem.

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Q: Let A=(2,4,−5)A=(2,4,−5), B=(1,−4,5)B=(1,−4,5), and P=(k,k,k)P=(k,k,k). The vector from A to B is…

A: Let A=2, 4, -5, B=1, -4, 5, and P=k, k, k.If the vector from A to B is perpendicular to the vector…

Q: f(x)=(4/3)^x 1. None of these 2. Increasing 3. Decreasing

A: NOTE: Refresh your page if you can't see any equations. . the given exponential function is

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A: Let fx,y=x2+y213 Here x=2,y=2∆x=-0.09,∆y=0.3 At x=2,y=2  f2,2=22+2213=2

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A: Topic - Derivative of a function We are given, f(x)=ln(x2+4) Formulas used ddxln(x)=1xddxxn=nxn-1

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Q: You have been given the following initial Problem, Please Symbolic function of x. decimal numbers…

A: The given differential equation: y''-7y'+12y=6x+e3xwith initial conditions: y0=0, y'0=0.

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A: We will find the required.

Q: Sketch the region enclosed by the curves x - 3= 6y and x- 27 = (y - 4)², and compute its area.

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Q: Find the derivative of f(x) = (-x8 - 7x² - 6x) sin(x).

A: The function is given by fx = -x8-7x2-6xsinx To evaluate: The expression of the derivative of the…

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A: Concept: The double integration of the function f(x,y) are ∫x1x2∫y1y2f(x,y)dydx Here x1 , x2 and y1…

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A: I am attaching image so that you understand each and every step.

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A: The objective of the question solving the differential equation and evaluate the general solution.

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Q: Find the derivative. f(x) = In(2x + 1) 1 2 + 1 22 + 1 2 2 + 1 1 2 أوجد المشتقة.

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Q: 3}( 20. Evaluate the following integral: 0 2x e³x dx -

A: I am attaching image so that you understand each and every step.

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A: Given query is to find indicated derivative.

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