the

Q: k-1 Since the series can be rewritten in the form > 4- (). it is a geometric series with: k=1 a =

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Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect...

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of chan...

Q: Product Rule Give 3 examples with solution and final answer. Make sure it is unique and not advanced...

A: Find your answer below 

Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: A group of workers can plant at a rate of  10  acres per day. How many acres can they plant in  5 ...

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Q: Find the derivative of the function. F(e) = (9t + 14)2/3 f (e) =

A: Given query is to find the derivative of the expression.

Q: Consider the following sequence: - {) +00 {an} 3n n=1 An+1 -to show that the given sequence {an} is ...

A: Explained below 

Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common rati...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: ∑n=0∞ (-1)n+1 (n+4) xnan = (-1)n+1 (n+4) xn   limn→∞ an+1an < 1limn→∞ (-1)n+2(n+5)xn+1(-1)n+1(n+4...

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

Q: Prove that n° + 2n is divisible by 3 for all n E N. Prove by induction that if p is any real number ...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x² ab...

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Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round ter...

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Q: Find the in ter vals onwhich Fare? (M [ncreasing and dec reaglny W concareuf and concave down and th...

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Q: Find the exact value of the expression. cos(tan-1() 35

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Q: Find the radius of convergence and the interval of convergence. 2* k=0

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Q: 3 1) -1 5 ).8-(6 If A = 2 -6 0 1 3. Find 3A - 4B

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Q: 1. Let E be the solid triangle in R³ whose corners are the points (1,0,0), (0, 1, 0) and (0,0, 2). C...

A: We have to compute the integral.

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 9ke-k k = 1 Identify ...

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Q: Use Green's Theorem to calculate ( - sen(a))da + (2a + 3)dy, where C is the triangle with vertices A...

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Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Q find as X mP totes $ the fallowing curves then graph them X-1

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: The given power series,         ∑n=0∞x2n

Q: Answer the questions for the function f(x) = 3x - 24x a. Find formulas for f'(x) and f"(x). f'(x) = ...

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Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

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Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each si...

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Q: The derivative of the function y = xe(5+sec(2x)) is: y' = [1+ 2x sec(2x) tan(2x)]e(5+see(2x)) y' = [...

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Q: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the s...

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Q: 00 4n + 15-n Untitled n = 1 5.5 5.5 Upda Determine whether the geometric series is convergent or div...

A: Topic:- sequence and series

Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: ub

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Q: What is the volume of the solid generated by revolving the shaded region about the line y = 3 y x = ...

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Q: find asymo tote s of the following cerves then graph them X-1 X?(X-2)

A: Solution: f(x)=x-1x2(x-2) vertical asymptotes Take the denominator and compare it to 0

Q: f(r) Find g(3) given that f(3) = -6, f"(3) = –4 , and g(x) = %3D 8 Answer: 5

A: Given g(x) = f(x)xf(3) = -6f'(3) = -4 

Q: A y' and Y"For Y=sin (X+ Y) 11 dar

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Q: 5. 2r2+xy2=1 *Use implicit differentiation.

A: We have to find implicot differentiation

Q: Differential equation A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, po...

A: Given

Q: 48. h'(x) if h(x) 2+9

A: Here, the given function is: h(x)=e2xx2+9 To find the first derivative of h(x), using the quotient r...

Q: Graph the following function. Then estimate any relative extrema. (x) = x° (2 - 3x)3 Choose the corr...

A: Given that fx=x2 2-3x3Solution if we have to find relative extremum then f'x=0 and solve . if f'x +v...

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: If the entire pizza has a 16 inch diameter and is cut into 8 slices. Find the area of a slice of piz...

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Q: What is the value of? df where xez+1 da (0), f(x) = %3D 1+e-z Write your answer as an integer or as ...

A: topic - derivative of a function

Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

Q: The Differentiation to be made must be based on the following topics. - Inverse Trigonometric Give 3...

A: Find your answer below 

Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π4)=

A: Topic:- application of integration

Q: 15 10 -6 -5 -4 B -2 1 2 3 4 6 -5 -10 -15 Determine the equation of the polynomial, f(r), of minimum ...

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Q: Use the formula for the binomial series: m(m-1).--(m-k+1) k + m(m-1) 2 (1 + x)" 1+ mx + %3! 2! k! m(...

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Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

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Q: Question The derivative of the function y = cos(xln 3) log3(sin x) is:

A: We will find the derivative.