(a) f'(0) (b) f'(1) 2.5 (c) f'(2) ут 1 0 1 X y = f(x) AB x

Q: Consider the following function. Answer f(x) = x - Step 1 of 2: Find the slope and the y-intercept.…

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Q: Solve the initial value problem. d²y y = જર = 3-e²t, y(1) = -2, y'(1) = 4 ...

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Q: dz Find given: dt z = 3x³y, x= tº, y = −5+2t dz dt = 60t-151 -450t 60t-150 -150+60t In(180) x X…

A: Topic = Derivative

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Given query is to find indicated composite function.

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Q: Suppose f(x)=√x² + 6x +10 and g(x) = −3x + 9. (fog)(x) = (fog)(-1) =

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Q: [10-x-1² if x≤2 Let f(x) = 2x 1 if I >2 Calculate the following limits. Enter "DNE" if the limit…

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Q: 3. The points A(0,1), B(2,0) and C(3, −4) form a triangle. Find the angle ZBAC. (a) ∠BAC = arccos…

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Q: 1) Suppose the functions f(x), g(x), h(x) are each differentiable for any x and that f(1) = 1; f'(1)…

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Q: If A(-4, 7, 2) and B(3, 2, 9) are two points in 3-space, then find the vector AB.

A: A=(-4,7,2)B=(3,2,9)AB→=B→-A→

Q: Test the convergence of the following series: (a) n=1 n+2" n²2" (b) 00 COS (nπ) n

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Q: 8. Give a closed form for the sum You may assume that Σk=1 k = n(n+1) 2 1x2+2x3+ ... k(k + 1) and…

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Q: Let s= f(x, y, z) and x = the following pieces of data do you NOT need? Ox(2, 5, 1) = 6 Of(6,9,7): =…

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Q: Suppose f(x): = f-¹(x) 4 10x +9

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Q: 4. Given F(x)= (²-1); show that F(+1)-F(x-1)-8a².

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: Solve the initial value problem. d²y dx² y = = 4ex, y(0) = 2, y'(0) = 3 ...

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Q: 1. Consider the following, recursively defined function C(1) = 1 C (2) = 1 - C(n) = C(C(n − 1) + C(n…

A: We need to prove that C(n)=1 for all n.

Q: Evaluate the following integral. In (3x/2) S 11e cose dv In (7x/6)

A: This is a problem related to integration. Please follow the procedure given below.

Q: Let u=(3, 1). Find the component form and magnitude (length) of the vector 5u. The component form is…

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Q: If y = √√√2-3x², find encl sack the third derivative.

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Q: Let f(x) = -1-1² if z 1 2x+6 Calculate the following limits. Enter "DNE" if the limit does not…

A: f(x)=10-x-x2 if x≤12x+6  if x>1(1)  for x≤1,  f(x)=10-x-x2for x>1,  f(x)=2x+6>

Q: The function gives the cost to manufacture x items. C(x) = 20,000 + 10x +  40,000 x; x = 100 Find…

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

Q: Consider f(x,y)=39−x2−y2, and let z=f(x,y). What is the z=9 level curve?

A: Given function:- fx,y=39-x2-y2

Q: Use the graph of f and g. p(x) = f(x)g(x) 9(x) = = f(x) g(x) -2 (a) Find p'(2), p'(2) = 1/2 (b) Find…

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Q: answers, so please show all your work. You do not need to fully simplify your work. 1 y=r³ sin r 22

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Q: Use the graph to investigate the following limits. (For each limit, enter an integer. If an answer…

A: limx→af(x) exist if limx→a-f(x) =limx→a+f(x)

Q: If D(p)=5400-60p and S(p) = 400+40p are demand and supply functions, respectively, find the…

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Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians,…

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Q: 5x²-3x6 √x For the function g(x) = a. Divide the function through, simplify and then find the…

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Q: Suppose the demand for a certain brand of a product is given by 2 -P +350, where p is the price in…

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Q: Use the graph to investigate the following limits. (For each limit, enter an integer. If an answer…

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Q: Find c such that the function x ≤ c [x² - 8 10x 33 x>c f(x) = is continuous everywhere. C = с

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Q: (2t3/2, cos 3t, sin 3t) from 0 to t, where 3. Find the length of the curve r(t) = t> 0. That is find…

A: Given curve is r(t)=(2t3/2,cos3t,sin3t) Note:- As per Bertleby Guideline I have to solve only first…

Q: Evaluate f(x+3) when f(x)=x²-3x+4 (Be sure to simplify your answer)

A: Topic = Function

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A: The given data is:   To find the area between x-axis and the graph of fx=9-x2 over the interval -2,1…

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Q: 5. Let f(x, y) = 3 xy³ x² + y6 (a) 0 (b) 1 (c) -1 (d) 1/2 (e) Does not exist. Find lim f(x,y). (x,y)…

A: The point (0,0) can be reached along so many different paths. If each path results in a different…

Q: Find the lim: (a) f(x) = 3x +6 (SX+4 lim F(x) X->1 (b) F(x) = (im F(x) X-0 = 3x + 1 3x if x ²1 it…

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Q: Use the alternative curvature formula x = r(t)=(3+5t²t,0) |axv| 10/³ to find the curvature of the…

A: The given parameterized curve is rt=3+5t2, t, 0. We have to find the curvature of the curve.

Q: Use the graph of h in the given figure to find the following values, if they exist. (a) h(5) (b) lim…

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Q: 22. sin x 2 dx -11 + x²

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Q: Consider the following function. f(x, y) = x² + y² + x²y + 7 Find the following derivatives. fx(x,…

A: As per the instruction,  i will answer the first three subparts. Given: Now,                ∂ ∂…

Q: Suppose f(x) = -5x - 10 and g(x)=√x²-3x +9. (fog)(x) = (fog)(5)=

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Q: The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity…

A: To find the angle.

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Q: You know that: • 9(1) dt = 25 . . g(3) = 3 √3 g(9) = 3 Evaluate: To 3 g'(x) 9+ (g(x))² da [

A: Given:  ∫39gt dt=25g3=33g9=3 To Find:  To evaluate ∫39g'x9+gx2 dx.

Q: Find the angle between u = - 9j and v=8i-3k in radians. Round to two decimal places. OA. 1.57 OB.…

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Q: Find the Maclaurin series for f(x) = What is the Maclaurin series of Σ n = 0 5 1 + x 5 1 + x (Type…

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