Let k(x) = (x + 2)²-5. Find the average rate of change of k(x) between x = -3 and x = 6.

Q: Use the graph to complete the following. AAARIPASSANT UNO ARAS (a) Write the equations for all…

A: Need to find out asymptotes.

Q: Find the indefinite integral. (Use C for the constant of integration.) In(e³x - 5) dx

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Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: Given P(x) = 3x5 – 20x² + 118x³ – 530x² + 1075x – 750, and that 5¿ is a zero, write P(x) in factored…

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Q: 1 -X h) limex-é е X-0 Sin 2X Using L'Hospital's Rule

A: let  I=limx→0ex-e-xsin2x      ∂ex∂x=ex      ∂sinx∂x=cosx

Q: (b) If the critical value is 4.605 at a significance level of 0.10, can we reject the null…

A: Answer b) In hypothesis testing, there are two ways to determine whether there is enough evidence…

Q: 7–46 Find the derivative of the function. 38. y = sin(t + cos √t)

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Q: If 8000 dollars is invested at 8% interest, find the value of the investment at the end of 6 years…

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Q: implicit differentiation to find 1+ siny=2y-x³ dy dx and then d'y 2 dx Write the solutions in terms…

A: Find dydx  and d2ydx2  1+siny=2y-x3

Q: 4. A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Question 3. Let G be the region within the cylinder x² + y² = 1, above the xy-plane and √√6x² + So +…

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Q: 4) Prove sec Ꮎ + tan Ꮎ cote + cose = tan 0 sec 0

A:

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

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Q: Write a polynomial with degree 4 that has a zero at x = 3i, and a zero at x = 5 with a multiplicity…

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Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

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Q: 9. Find the local quadratic approximation of f(x) = x³ at xo = 1, and use that approximation to find…

A: To find the local quadratic approximation of fx=x3 at x0=1, and by using that approximation to find…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Integration

Q: Write a polynomial with degree 4 that has a zero at x = 4i, and a zero at x = 2 with a multiplicity…

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Q: #37) (modified) Find the equation if the tangent line at the point x=1: y = x4 + 1/x - 3ex

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Q: 77. f (x, y) = xy and D = = {(x, y)| − 1 ≤ y ≤ 1, y² − 1 ≤ x ≤ √/1 − y² }

A: Explained below

Q: Given that lim (2x - 7) = 1, illustrate this definition by finding the largest values of 8 that…

A: Use epsilon and delta definitions of limit.

Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

A:

Q: Given: (q is number of items) Demand function: d(q) = 317.4 Supply function: s(q) = 0.4q² Find the…

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Q: 12. A bank account grows at 5% interest compounded semiannually. How long will it take for the…

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Q: Show using the MVT the equation x^3-x-2 = 0 has one real solution on the interval [1,2] AND…

A: Using mean value theorem f'c=fb-fab-a Where, a=1,b=2 f'x=3x2-1 f'c=3c2-1 f2=23-2-1=5 f1=13-1-2=-2

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Solve the given intregal

Q: show me steps on how to get the rational equation: x-int = -2/5, 1/3, y-int 4/15, Horizontal…

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Q: Let f(x) = √3x² + 2x + 7 ƒ'(x) = f'(1) =

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Q: Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the…

A: Given planes:- P1:x+y-z=5P2: 3x-y+5z=3

Q: Choose the correct option for the following two statements and provide justification for your…

A: Please see the below picture for detailed solution.

Q: A patient's pulse measures 63 beats per minute, 71 beats per minute, and then 115 beats per minute.…

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Q: Finding the intercepts, asymptotes, domain, and range from the... OF BOASADRO Shom all asymptotes…

A: Given query is to find characteristics of the function.

Q: y 11 2 sinh ² 7x

A: Here we have to find the derivative of a function.

Q: Find the absolute min and max values of each function on the given interval. f(x) = x³ - 6x² - 15x +…

A: Given function f(x)=x3-6x2-15x+1

Q: Cos (anc tan $3 tancsin)

A: Solution: Given data, cos(arctan(√3)+arcsin(1/2))

Q: Find an equation of the tangent plane to the given surface at the specified point. z = y cos(x - y),…

A: Given z=y cos(x-y)      ; (4,4,4)

Q: Which of the following is F(x) + C for F(x) = [ f(x) dx = Select one alternative: O2e + 3 cos x - 5…

A:

Q: interval. f(x) = x³ - 6x² + 9x + 22, on [-1,2] 3. Find the absolute extreme values of the function…

A: Given: fx=x3-6x2+9x+22, on -1,2   Use the Power law: ddxxn=nxn-1 For maximum and minimum values…

Q: Which equation choice could represent the graph shown below? -10 9 8 7 6 5 -4 -3 -2 -1 Of(x) =…

A: Given query is to find the equation of the graph.

Q: QUESTION 10 Let W (s, t) = F(u(s, t), v(s, t)) where u(1,0)=-4,u,(1,0) = -7, u₂(1,0) = -4 v(1,0) =…

A: Here  ⇒wss,t=∂w∂u×∂u∂s+∂w∂v×∂v∂s ⇒wts,t=∂w∂u×∂u∂t+∂w∂v×∂v∂t

Q: Find the thos of P(x) = x4 -81

A: To find the zeroes of given polynomial

Q: 8. Δ The series Σ(-1)* =0 k! (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: D'Alembert test: Let us consider a series of real numbers, ∑k=0∞uk such that uk+1uk=l Then if l<1…

Q: 46. y = [x + (x + sin²x)³]4

A: Given y=x+x+sin2x34

Q: Blood Alcohol Level  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

Q: 24 Which of the following functions is not differentiable on all of its domain? Select one…

A: We have given functions (i) fx=x+1ex Differentiable everywhere on its domain.  (ii) fx=x2-1 This is…

Q: 9) Solve the triangle that has sides 4 ft, 5 ft, and 8 ft. Draw a picture of the triangle with the…

A: Let's solve triangle all angles.

Q: Which equation choice could represent the graph shown below? -10 9 8 7 -5-4-3/2 -1 Of(x)= x(x +…

A: We will find the required.

Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years