Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval notation in WeBWork, you use I for oo, -I for -00, and U for the union symbol. Interval =

Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t² (in…

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Q: Let the graph below represent the function fx). a. For what values of x is f'(x) = 0? b. Describe…

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Q: d d. dx tan(t)dt

A: Leibnitz Rule of differentiation :     ddx ∫α(x)β(x) f(x,t) dt = ∫α(x)β(x) d(f(x,t))dxdt +dβ(x)dx…

Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

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A: Let's find.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Follow the procedure given below.

Q: PreCalculus E Quiz: Ch. 11 Review Quiz Find the common ratio. 2, 0.2, 0.02,... The common ratio is…

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Q: 7. Find the derivative of In y + exy? ey sin 2x. %3D -

A: Here, the given implicit function is: ln y+exy2-ey=sin 2x...(1)

Q: 03 Evaluate J (3-2x)5 using substitution

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Q: 1.) Evaluate: (x* + 3x³ + 1)dx 2.) Evaluate: (1++) dx 3.) Evaluate: () dt

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Q: Let F(x) = f(x*) and G(x) = (f(x))* . You also know that a' = 11, f(a) = 2, f'(a) = 2, f'(a*) = 11…

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Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: A. First, rewrite the integral by multiplying out the integrand: | 3x° (x* + 1) dx = dx Then…

A: The given integral,         ∫3x3x4+1dx

Q: 1.) Evaluate: S sin*xcosxdx 2.) Evaluate: Sx³Inxdx 3.) Evaluate: Sx3*dx

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Q: lim sin(9x) csc(7x)

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Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: Tell if the piece-wise function is continuous on the given interval. Put a CHECK MARK AFTER the…

A: Given graph,

Q: 3. Find the derivative of each of the following functions. Justify your answer. I sin z (a) f(x) =…

A: As we know that; The Product rule: f·g'=f'·g+f·g' The Chain rule: fgx'=f'gx·g'x   And…

Q: 11. If F(z) = | V1+4t² dt, find F'(x) sin z

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Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: Find the Indefinite Integral using the substitution x 7 sec(0). (Use C for the constant of…

A: Solving

Q: Which series helps us to derive the discretized form of the governing equations? a. Taylor series b.…

A: (a) Taylor series expansion is normally used to discretise governing equations.

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

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Q: Q.1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y2. Q.2/ Change…

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

Q: x3 Evaluate J (3-2x) using substitution

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Q: Evaluate following 長屋

A: The given integral,     ddx∫2x32sint-7ln10tdt

Q: Please

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Q: 1. Under what conditions will a set consisting of a single vector be linearly independent?

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Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A: Explanation of the answer is as follows

Q: 12. Solve the second-Order differential equation: d²y - y = e* (use method of variation of…

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Q: a) Find the solution of the following differential equation: y'' − 2y' = x − e3x

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

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

A: Rate of change

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx² + 5x3 –x-3…

A: Given problem:-

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +4 1' lim t00 9t2 + 10' 8t. |(?,?)

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Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: Maximize area

Q: Find the limit. Use l'Hospital's Rule wh lim (In(x))2 X 00 5x

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Q: Find the indefinite integral. Hint: Let u = 5 - Vx. (Remember the constant of integration. Remember…

A: Explanation of the answer is as follows

Q: Find all critical points of f(x) = 1 + 8x – x² and use the First Derivative Test to determine…

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Q: (CLO-1) Three players (Ady, Brenden, and Cara) are sharing a pie that is worth $15. Suppose that the…

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Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

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Q: Find the value V of the Riemann sum V = f(ck)A¤k k=1 for the function f(æ) = x² + 3 using the…

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Q: x3 Evaluate f using substitution (3-2x)5

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Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: (7x-6x+8) dx |(7x - 6x + 8) dx =| /Simplifu vour anci Mor /Cimpli6 5. 5.

A: We can solve this as follows:

Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

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Q: (cost -1/2 <x< 0 The funaction f(t) = is %3D sint 0<x<n/2 а) even b) odd c) neither

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Q: | 4z(z* + 1)* dz Calculate: 0.

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Q: * This matrix is a 0 4 0 4 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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