A. For each of the following functions z, find and дх 2. z = tan 出一郎

Q: Determine the exact value of 2 sincos cos 12 12

A: Given query is to find the exact value of the expression.

Q: Find the solution of the given differential equation

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Q: Find the area of the region which is inside the circle r = 2 and outside the cardioid r = 2(1-cos+).…

A: Given

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Q: 6s-4 82-4s+20 2et cos 4t + 8et sin4t None of the Choices Option 2 2e 2t cos 4t + 8e-24 sin4t 6e 24…

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Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

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Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: topic- application of derivatives

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A: We have to find the value of x as per given conditions.

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A: We have to simplify

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

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Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

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Q: az and ду az A. For each of the following functions z, find ax 1. z= sin3x cos4y 2. z = tan- (2) 3.…

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Q: I. Evaluate each of the following iterated integrals. T/2 siny 1. dxdy

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Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

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Q: n!(n+1): (2n+1)! n=0

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Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: csc(cot a)+cos? a sin? x dx

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Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A: Linear approximation is an approximation of a function with the help of a linear function.  Suppose…

Q: Given r = 1 – 3 sin 0, find the following. Find the area of the inner loop of the given polar curve…

A: Concept: Area in polar coordinates: various regions enclosed by such curves can be calculated using…

Q: 3. A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solved below.

Q: 1-x2 So Si S dz dy dx 0. 0.

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Q: -Sune +1

A: This question is based on solution of Trigonometric equation.

Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

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Q: 1. a. Show that two lines with direction vectors d (2,3) and d, (6,-4) are perpendicular %3D b. Give…

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Q: (c) Let f(x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of…

A: Let's find.

Q: he Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 Ciuo Hooim

A: Here we have to use linear approximation rule.

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: Find the length of the curve r(t) = (e* cos t, et sin t , et), – In 4 <t<0.

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Q: 2x dx 4e2x –8eª +5 e

A: To evaluate: I=∫e2x4e2x-8ex+5dx=∫(ex)24(ex)2-8ex+4+1dx=∫ex4((ex)2-2ex+1)+1dx=∫ex4(ex-1)2+1dx

Q: E2"x" 4η n 7. it. n=0

A: The objective is to find interval of convergence and radius of convergence.

Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x +y = 6…

A: Note: As per our guidelines we are restricted to solve only one problem. Please upload separately…

Q: oint) Use the graph of f(x) shown below to find the following integrals.

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Q: 13. Evaluate the function. Give the exact value. cos tan (V3) cos(arctan( v3% )= 0.5

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Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^ - 1 5+ 7n n-…

A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n

Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

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Q: (D² + 4)y= 4 cot 2x

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Q: 1. f(x) = V3x +2 2. f(x) = 2х-3. 4 %3D 5x+1

A: We know quotient rule of differentiation as follows  ddx{f(x)g(x)} = g(x) f'(x) - f(x) g'(x){ g(x)}2…

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 10x3…

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Q: lim Vxe 2

A: Given query is to find limit of the expression.

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

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Q: Triangle BAC is a 30°°-60°°-90°° right triangle. В 600 300 A C If BC = 15, what is the measure of…

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Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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