Evaluate the given limits: Identify if the given limit is NORMAL, ONE-SIDED or DOES NOT EXIST. If the given limit is OSL, state if it is a Left-hand or Right-hand limit. 1.) lim x - 3 9.

Q: nt Use A = P(1+– where: n A = the amortized amount (total loan/investment amount over the life of th...

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Q: The integral expression: Ocos 20 d0 can be evaluated by parts of the for The product vdu is: -40+ si...

A: We will solve using integration by parts. 

Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

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Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.

Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question. Kin...

Q: If f(x) = 7 cot ' + 5, then find the value of f'(-6) is -5 V37 V37 37 -7 37

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Q: da 3. S algebraic substitution (x-3) Va-4

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Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

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Q: Scse (2x + 1)dx CSC

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Q: Homework Content Question 1 Write an equivalent double integral with the order of integration revers...

A: Given: ∫08∫0xdydx

Q: Consider the following. f(x) = x3 - 27x + 4 (a) Find the intervals on which f is increasing or decre...

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Q: The coefficient of sin'x in the antiderivative of F(x) = cs (use fraction form not decimal

A: This question can be solved using the concept of integration of trigonometric function.

Q: .fe* sin( -4x)dx

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Q: In (1.06)

A: answer of given question is in step 2

Q: Given the vector function: *(t) = (1+ sin (3t), tan (2t), t) Relate the vector functions to the velo...

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: 5 (23 — 2) (2а? — аг)* dar

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Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: Evaluate: sin ycos³ydy. A none of the given choices sin'y sinsy +C B sinty siny -+C sin'y sin3y +C 8...

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Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

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Q: Find the area bounded by the parabolas (x – 2)² – 9py = 0 and y2 = 9p(x – 2). -

A: We need to find area bounded by two curves.

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per second...

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: f (x, y) = xª – 2.x² + y² – 4y + 5. a) Use the second derivative test to find the critical points b)...

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Q: a) Determine the cosine of the angles of the triangle whose vertices are A(1, –-2, 1), B(3, 0, 2), C...

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Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Determine all critical points for the function. f(x) = x2 + 6x + 9 %3D

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Q: 6 -dx Find 1

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Q: Find the area enclosed by the curve x = t2 - 4t, y = -Vt and the y-axis. A = S rdy or A= S. (TR-IL) ...

A: x=t2-4t, y=-ty=0 →t=0y=-2 →t=40≤t≤4dydt=-12t  

Q: Match the integral expression on the left to an equal expression on the right. (cos(x)- Prompts Subm...

A: I am attaching image so that you understand each and every step.

Q: DÒ NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t) ...

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Q: 9 dx dy y² 0. 2

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Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 95...

A: Given that, The demand function is following, q = 950 - 14x Where x is the price and q is the demand...

Q: Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0...

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Q: x2sin2x dx Evaluate: - 2x?cos2x – 2xsin2x + cos2x +C A 4 -2r?cos2x + 2xsin2x – cos2x C None of the g...

A: We can solve as follows

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a...

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Q: What the twice amount of 375.00 dollars

A: The objective is to find the twice amount of 375.00 dollars .

Q: Determine all critical points for the function. y = 4x² - 128 x

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Q: 3. The Cartesian coordinates of a point are given. (i) Find polar coordinates (r,0) of the point, wh...

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Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim cos-1(x – 13) Answer should be in radians ...

A: (a)limx→32 cos-1(x-3)(b) limx→3 log2x2+2x+1  

Q: Using calculus, find three positive numbers whose sum is 12 and the sum of the squares is as small a...

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Q: - courses / MATH1200 / Current Activity / Worksheet 1 From the following results, determine whether ...

A: Topic:- application of derivatives and calculus

Q: Use the functions below to find the given value.

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Q: 3. What is the equivalent angle in degrees is Northwest? 135 deg 150 deg 115 deg 125 deg 4. How do y...

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