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A: Given: fx=x2+3x+6 To find: f'(2)

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A: Topic = Derivative

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A: topic - implicit differentiation

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A: Please see the below picture for detailed solution. 

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A: we want to find the equation of polynomial 

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Q: Q3 (10 M)/find the polar form of (-1+i)

A: See step 2

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Q: For items 20-24, consider the following data set which shows the time recorded, in seconds, it took ...

A: 22) Mode of a data set is that value which occurs most frequently in the data set. Since the value 3...

Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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A: We can find the value of h as below.

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A: topic - limits

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A: Given:    c2 = a2 + b2 - 2ab cos θ

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Q: y = xV 64 – x² + arcsin 5.

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Q: Vx+I dx. Vx +1

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

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Q: dx 3.

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of...

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Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

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A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ

Q: A central angle ? in a circle of radius 6 m is subtended by an arc of length 7 m. Find the measure o...

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Q: 2. Find the volume of a cylinder with a radius of r and height h by integration.

A: Radius : r Hight : h

Q: 3x°+x*+2x³+3x²+18 f(x)= x2-24 Solve for the lim f (x) Using the following methods: x→5 a. Table of v...

A: solution given below

Q: 1132,510,1231,581,421,863,1490,682,1274,1183,945,1135,737,1068,946,1630,1037,2194,1357,443 find a)...

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Q: Find dy/dx by implicit differentiation. x = y3 - 4y2 + 1, (-2, 1) dy dx Find the slope of the graph ...

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Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

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Q: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 2 15 4 2 15 (Si...

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Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f(t) = 2e sin 4t,...

A: Let's find. 

Q: In (1+x) lim

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A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=x+9x+3,  x>-3, a=2

Q: Draw the graph of the following functions and give the domain  and range of each.

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Q: 2 1 + 22 + 1 32 + 1 1 + 42 + 1 d) + + ... 12 + 1

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Q: Choose the letter of the correct answer. 1. There are 4 conditions to determine if the given functio...

A: Given 1. There are 4 conditions to determine if the given function f is continuous at the given numb...

Q: Consider f(x) = 1 – x for 0 1: an b) O an = c) O ao = 1/2, and for n > 1: a, = 4(1+ cos(nT/2))/n²n²...

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Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

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Q: On the graph of f(x) apply. = sec x and the interval (-2n, 27), for what value of x does f(x) = 1? C...

A: f(x)=secxf(x)=1

Q: Determine the continuity of the function at the given points. f(x) = [1, x-2, for x=1 at x = 1 and x...

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Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx = dxtan-1(7x)dx-114d(ln(...

Q: Given the differential equation y" + 6y' 5e2 cos(9x) Find the Differential Operator for the Left Sid...

A:

Q: To find the General Solution, we match each part of our Differential Operators to the table below, w...

A: option D