Use summation properties and formulas to rewrite and evaluate the sum. [(31)²-41] i=1 Next Submit Question

Q: 1. Carbon 14 is a common form of carbon which decays over time. The initial amount of carbon 14…

A: Please see the below pictures for detailed solution.

Q: Which if the following is a power series representation of the function f(x) a. Σ(-x - xn+¹) n=0 Ob.…

A: We have to find the power series representation for given function.

Q: A manufacturer can produce 4320 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: 23 -x³ Submit Question Find all local extreme values of f(x) The FIRST local extreme value, moving…

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Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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Q: Find -(4²). Type In(x) for the natural logarithm function. da (4²)

A: Topic = Derivative

Q: Given that f(x) = x²h(x) h(-1) = 4 h' (1) 7 = Calculate f'( − 1).

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: answer is in next step. please give a like!!

Q: Sam makes $25.00 per hour. He gets paid time and a half for overtime. He gets paid every week. He…

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

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Q: 1. A 6 kg sign is suspended by two strings making angles with the ceiling as shown in the diagram.…

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Q: Find Ž k=0 the convergence Set for each

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Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: 2. Find the MacLaurin polynomial of degree 16 for the function F(x)= So sin (6xt²) dt.

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Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: 1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the…

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Q: EQUATIONS 5y" - (y) = y³ sin æ 4 x yy" + 2x = tan x ºr + (5) - w = 4et St2 88 SM - (SM) dy³ xt' +…

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Q: 5t 1+3t 2. Pumping stations deliver oil at the rate modeled by the function D, given by D(t)= with t…

A: Given the oil delivery rate,          D(t) = 5t/(1+3t)  gallons/hour  Here 't' is in hours. We can…

Q: y=x4Inx

A: Topic = Derivative

Q: For the linear function y = f(x) df dx a. Find at x = 8. ƒ'(8) = b. Find a formula for x = f-1(y).…

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Q: Answer A, B,C using the CALCULUS METHOD ONLY

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Q: Evaluate f(1). b) Evaluate f(-1). c) Solve f(x)=2. d) Solve f(x)=-

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Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: A1. SOLVE STEP BY STEP IN DIGITAL FORMAT Using the following function and the given intervals…

A: Given - f(x) = 4x^2 - 6                [ 3 , 6 ] ∆y/∆t =[ f(X2) - f(X1) ] / ( x2 - X1)

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

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Q: The graph of the function f(x) is shown below. State all values of x in the ope which the function…

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A: Here is the solution:

Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: Is the following piecewise function continuous? if x < 0 0<if x < 3 if 3 < x f(x) = -3x² x - 3, . -x…

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Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: A television camera at ground level is 2000 feet away from the launching pad of a space rocket is…

Q: Find all intervals on which f(x) is increasing. f(x) = x³ + 7x² + 15x + 45

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Q: y = ln(4x³ + 7x)

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Q: Use following series > k=1 the (+48 integral test Converge. to decide if th

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Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: Find the length of the Arc length= curve r(t) = (71, 5, √¹4²) for -4 ≤ t ≤ 4. 2

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Q: A- Find the solution y(x) of the differential equation +=(x), the initial dx conditions y(0) = 1, y'…

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Q: 1 √3x²√x² + 1dx Calculate: -1

A: Concept: Integration: The term "integration" refers to the addition of discrete data. The integral…

Q: interval

A: From the graph, we need to find the values of x for which f(x)  is greater than 5.

Q: Consider the function f(x) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of…

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Q: Question 6 Determine the Fourier series for the function defined below: f(x) = 2x in the range x = 0…

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Q: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

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Q: nd the radius of convergence, R, of the series. (x + 7)" 7n In(n) = n = 2 nd the interval, I, of…

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Q: If {an} and {bn} are divergent, then {an bn} is divergent. Select one: O True O False

A: The objective of the question is determine the choosing the correct option.

Q: y=x5, mn=-1/80

A: Given problem:- Find the equation of the line normal to a given curve y=x5 and having a given slope…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(3) = 9, ƒ(9) = 2, ƒ'(9) = 15, ƒ'(3) = 13…

A: Given Fx=ffx Gx=Fx2 f3=9, f9=2, f'9=15 and f'3=13

Q: d) Explain what happens to p't) for t greater than the value you found in part c. Give one reason…

A: p'(t) for t greater than the value of 10 becomes stable and reaches to a threshold value

Q: The planets move around the sun in elliptical orbits with the sun at one focus. The point in the…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6