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Q: f(1) = e6' sin(- 3 t)

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In cylinder shell, volume dV = 2πf(x) x dx

Q: 2. Scos'xsinx dx cos’xsinxdx

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Q: Simplify {x²[x-³y(x²-¹)-1}

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Q: The function f whose gradient vector is vf(x,y) = (xIn(v + 7), 7x + y + 7> has two critical points…

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Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: An advertising agency has found that when it promotes a new product in a certain market of 370,000,…

A: We have to find how many people are aware after 1 week and how long before 300,000 are aware of the…

Q: Not yet answered Question 2 Marked out of 1.00 The critical point of the function f(x) = a³ – 5æ² +…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: Question 1 differential equation Consider the following dy 2x2. - (x + 2y)? = -x?. - dx a):…

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Q: COS X Evaluate the integral: Xp- 4 + sin?x

A: To evaluate the given integral.∫cos x4+sin2 x dx

Q: The area of a circle increases at a rate of 6 cm2/s. a. How fast is the radius changing when the…

A: Given that the area of a circle increases at a rate of 6 cm2/s .

Q: -a ; Y 5.)(*+y)² +(x-y)

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Q: Evaluate the iterated integral. x? sin(y) dy dx (Use symbolic notation and fractions where needed.)

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Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

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Q: Use the definition of a logarithmic function to write the logarithmic equation as an equation…

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Q: Determine whether the sequences converge or converges, find the limit. diverge. If any of them a. 2…

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Q: 1. 2,5,8,11,14,.... 2. 50,43,36, 29,....

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Q: Find the equation of the line parallel to 7x + 2y - 4 = 0 and passing through (-3, -5).

A: We know that the equation of line is  y=mx+c where m is the slope and c is the y-intercept of the…

Q: Determine the domain of the function. f(x) = In (81 – x²) - (Give your answer as an interval in the…

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Q: A manufacturer estimates that the marginal cost for its latest product is C(q) = 11.2 − 0.03q +…

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Q: Evaluate the integral R xe*y dA, where R = [0,4] × [0, 3]. (Use symbolic notation and fractions…

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Q: 0.6 d.5 Q3 A symmetrical parabolic segment y = 4x(2- x) rotates around the x-axis as shown in the…

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Q: 3 Goal: A cetailed graph of flx) = x AICX) = fir(x)= 6x (x+1)4 fex) =x a tind ficx) (6) Find he x…

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Q: (g) log r+ log (13 – 3r) = 1 - (h) In (In (In r)) = 1 %3D

A: Solved below

Q: 31. n! it n n =D1 n = 1

A: The given power series,   ∑n=1∞n!nnxn

Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

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Q: Find the moment of inertia of the solid formed with respect to the axis of revolution: region…

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Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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Q: Given the following function: 5x2 + 4 f(x) = 2x + 10 Step 1 of 2: Findf(4). Answer f(4) =

A: To solve this question, we will simply put x=4 in the function f(x).

Q: Evaluate the integral . In 3 S. Jo Cery) dy dx In4

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Q: For the function o graphed in the accompanying figure, find lim p(x). y = 6(x)

A: Limit using graph

Q: The population P(t) of a town increases as the equation P(t) = Poe0.24 If P(2) = 2323, what is the…

A: The objective of the question is evaluate the initial population and choose the correct option.

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of…

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

Q: Given the following function: 5x2 + 4 f(x) = 2x + 10 Step 2 of 2: Findf(3) – f(4). E Keypa Answer…

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Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

A: Solution is given below:

Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

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Q: Given two vectors A = 21 + 3j - 2k B= 31- 4j – 6k Determine the vector that defines the direction of…

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Q: Let f(x) 2x + 9x? – 108x 5. Calculate the derivative f'(x) = Calculate the second derivative f''(x)…

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Q: Write the integral in terms of u and du. Then evaluate. 12 sec (x) tan (x) dx, u = tan(x) (Use…

A: Given: I=∫12sec2xtan2xdx   ...1   We know that the Power rule: ∫xndx=xn+1n+1+C And ddxtanx=sec2x

Q: A cable lowers equipment into a mine shaft. After 5 minutes the equipment is 243 meters from the…

A: The given problem is solved below in detail.

Q: Find the absolute maximum and minimum of the function f(x,y) = 8y - 72x- 4 over the closed region…

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Q: 3. The points A and B have coordinates (3,4) and (11,2) respectively. In terms of i and j, find: a)…

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Q: 6)li

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Q: Question 2: A bacteria culture initially has 600 number of bacteria and triples in size in 8 hours.…

A: Given problem:- A bacteria culture initially has 600 number of bacteria and triples in size in 8…

Q: What is the area of the region between the graphs f (x) = 3x – x and x – axis from x = 0 and x = 2 2

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Q: Find the vector component of v = (4, –1,7) along b = (3, 6, –6) and the vector component of v…

A: Given: v=4,-1,7 & b=3,6,-6   As we know that the expression; The vector component of v along to…

Q: H.W 1. Test the convergence and divergence of the following series, find the sum of convergent…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: The formula A = 24.2 e 0.0786t models the population of a US state, A, in millions, t years after…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Solve the D. E y-2ý+24 = 2 X +3 2y +2Y

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