Use the graph to find the limit (if it exists). 10 lim f(x), where f(x) = (8 – x, x + -4 5 x = -4 -10

Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i ...

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A: Given:- tan4(x)=tan2(x) sec2(x) - tan2(x) To find:- verify the given identify

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A: The region is bounded by the curves  y=cos(7x) ,y=0,x=π14 ,and x=π7

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A: find fx and alimh→06h-1h

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A: Given, Adjacent=x Opposite= 20 Angel= θ

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Q: Find all the values of a such that the given series would converge. (- 1)"z" L 2"(n² + 7) n=1 The se...

A:

Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per ga...

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of ...

Q: dz Find given: dt z = zew, z = t°, y = - 5+5t dz Preview dt II

A: This problem can be solved as follows:

Q: Consider the following rational function: 1 anx" + an – 1x" + ajx + a0 ... f(x) bmxm + bm – 1xm + .....

A: Recall: Horizontal asymptotes of a rational function : Consider the rational function               ...

Q: Using bisection method with [a1, b1] = [1,2] , estimate the root of x – 2 + Inx = 0 such that the to...

A: Given: fx=x-2+lnx a1, b1=1,2tolerance=fxi+1-fxi tolerance=0.01-------------------- Bisection Method:...

Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

A:

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

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Q: x²-9 Find the limit (if it exists) lim x-3 27-x3 A. B. 9 C. 0 D. DNE

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Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of 0.3...

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Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

A: Use the given table for finding the value of function 

Q: d (x- 7)4 81. dx 3 2x

A:

Q: (b) A series RLC circuit is shown in Figure Q4 (b) where R=4Q, L = 0.5H, C=0.1F,E(t) =10 V and i(0) ...

A: we have given a series RLC circuit with a voltage source L=0.5H C=0.1FR =4 ohmE =10 V

Q: What value(s) of o are an appropriate choice when proving the following limit? lim (2 + 9x + 25) = 5...

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Q: x²-16 Find k so that f(x)={ x-4 is continuous for all x. k = k ;x=4

A: Given,f(x)=x2-16x-4;      x≠4k          ;       x=4 Here f(4)=4limx→4f(x)=limx→4x2-16x-4limx→4f(x)=l...

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A:

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3...

A: Follow the procedure given below. 

Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: Use the function f(r) given below to answer the questions that follow. f(r) = – 2(r+1)(r – 3) (r – 1...

A: The given function f(r)=-2r+1r-33(r-1)

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a separat...

Q: Sketch a possible graph of a function that satisfies the given conditions. f(-1) = -7; lim f(x) = -2...

A: Given that f(-1) = -7. Therefore (-1,7) is a point on the graph .when x tends to -1 from the left si...

Q: Š F(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find ſ f(x)dx. If %3D а. — 2 b. 2 с. -3 d. 3

A: Topic:- integration

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Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

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Q: The equation f(x) = e^x – 3x^2 has roots in [3, 5]. Using 5 iterations, find this root using the Bis...

A: fx=ex-3x2a1, b1=3,5------------------------------Percentage true error : True value-Estimated valueT...

Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

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Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10. ...

A: We can use the given equation to solve for profit

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Q: In Problems 17-34, find f' (x) and simplify. 17 fl .. 10 T U.2x, -2X 5. J(x) = 6e¯ 26. flr 28 (4+ 3)...

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Q: nd the vertical intercept, or intercepts, of the function v(t) given below. v(t) = 4|t – 5|- 12 your...

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Q: y? Assume you are given the surface S with equation p2 9. 1.

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Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.

Q: Use the chain rule to find D (f o g) (–1,2) for f(u, v, w) = (v² + w², u³ – vw, u²v+ w) and g(x, y) ...

A: This question is related to derivative of composite function.

Q: Linear differential equetion with constand coefficients -メ ダーンツ e

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximat...

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Q: Step by Step Solve by Monges, given the partial differential equation  q2-2pqs+p2t=pt-qs,

A: This question is based on monge's method .....by the help of this method we got the desired solution...

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Q: 5. If f cb 5dx + 4 V8x? . = 2, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

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Q: 5х —7 (х — 3)°

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Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: Let f(x, y) = (4x – y)". Then a²f даду dxðydx dx²dy

A: