Find a degree 3 polynomial that has zeros -3, 2 and 5 and in which the coefficient of ² is - 12. The polynomial is

Q: pulation of a city, in millions, since 1990 has grown at a rate of P'(t) = 0.11 e 0.01 r of years…

A: Topic:- application of integration

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Q: Hot Breads, a popular baker in Dhaka makes two types of cakes. To make one dozen of premium pound…

A: Disclaimer: since you have posted sub multiple part of a question, we will solve only first three…

Q: Compute the values of dy and Ay for the function ye3x + 3x given x = 0 and Ax dx = 0.02. Round your…

A: Given y=e3x+3x x=0 and ∆x=dx=0.02

Q: (t-7)^7s'+8(t-7)^6S=t+7,t>7 The solution s=?

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Q: -. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z 1+x = In…

A: To find the maclaurin series of the function f(x).

Q: (3) Since ● d dx In(x)) (4) Recall the integration formula for n-1 (why?) fr" dx = (5) Find the…

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Q: x²-2x-15 x+8 [-3, 5] "'s Theorem can be applied. se f is not continuous on the closed interval [a,…

A: Topic:- application of derivatives

Q: ) Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 + 1)3/5…

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Q: Two cars are moving towards an intersection. One car is 160 meters north of the intersection and…

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

Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

Q: The logistic equation models the growth of a population. 1350 1 +26e-0.95t P(t) = Exercise (a) Use…

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Q: Given f(x,y,z)=√(−6x+5y+2z), find fx(x,y,z) = fy(x,y,z) = fz(x,y,z)=

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Q: 5. Evaluate f ²√3.r³ + 1dx JO

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Q: Evaluate the integral using the following values. [³x³ dx = 260, [³x dx = 10, [³dx = 2 (26-9x-x³) dx

A: We can find the answer as below,

Q: A. Two lines are parallel. Line A is with equation 6y=2x-18 and line B is with equation 3y-6-x. Draw…

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (4) 5-1 X…

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Q: Consider the following function and closed interval. f(x)=x²/3-3, [-8, 8] Is f continuous on the…

A: We need to solve differentiation question.

Q: A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate (in rad/s) is…

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Q: did i type this in right?

A: Yes you need to type 3t2+6 in the box.

Q: Find the gradient of the function at the given point. w = 6x2y-9yz+z2, (1, 1, -2) O 18i+ 33j+ 13k…

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Q: If a ball is thrown vertically upward from the roof of a 64 foot tall building with a velocity of 80…

A: Let's find maximum height and velocity of ball at ground.

Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

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Q: Fill in the blank. (Enter your answer in terms of t.) { } [ 2 12s + 40 G S

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Q: Find the exact value of the trigonometric function given that sin u = - 8 17 sin(u + v) Need Help?…

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Q: with B(1) 100 B= Find the solution to the differential equation = = dB dt +5B = 80,

A: To find the solution to the differential equation.dBdt+5B=80, with B1=100

Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: Let's find amount of accumulated FV.

Q: Television Advertising As Sales Manager for Montevideo Productions, Inc., you are planning to review…

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Q: Evaluate the following indefinite integral. S₁4 14x dx 14x dx = 14x

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Q: Find the interval of convergence of the following power series. (x + 10) n η 8η 01-00,00) O(-18, -2]…

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Q: (22) Graph f(x) = e. (23) Let f(x) = e. Then, it is an • limx→∞ f (x) = and lim (24) Find lim, f(x)…

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Q: ). For the sequence, determine if the divergence test applies and either state that lim n→∞ an does…

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Q: Use the integration capabilities of a graphing utility to approximate the volume of the solid…

A: we know that Volume of solid generated by revolving thr region about  x axis =∫ab  π y2 dx

Q: This creates the following three similar triangles. AA Q Using the first two triangles, the…

A: We need to choose correct option.

Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

A: To find: L{f(t)} by the use of Laplace transform. Given information: The function is  ft=0…

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Q: Factor the expression and use the fundamental identities to simplify. There is more than one correct…

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Q: • Sketch the curve represented by the parametric equations (indicate the Orientation of the curve),…

A: Given,

Q: 10. Given f(x) > 0 with f '(x) 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the…

A: Given f(0)=1f(2)=0.2given values are for the left, right, trapezoidal, and midpoint rule…

Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

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Q: re of the distance from the source. Iwo point light sources with strengths of S and 273 are…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(), speed…

A: Given r(t)=etcos(t), etsin(t), et

Q: Consider the following graph. -10/ -5 As O None of these. 151 7.5 -7.51 -151, 10 X 1) Determine the…

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Q: it got marked wrong. how am is upposed to type it in.

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 3x²+2, [1, 2] (x, y) =…

A: We want to find extrema

Q: Which one of the following p-series is divergent? S 1 n=1 n√2 n=1 n=1 Σ 1 nπ/3 1 nπ/4 1 ne/2

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Q: mine the value of c for which a given ass function. Determine the value of c such that the function…

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Q: Find the area shared by the circle r=1 and r=2cos(theta)

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