2. If x = t + cost, y = sint, find d²y dx²*

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Q: Find the slope of the tangent to the curve y = 3 + 4x2 - 2x3 at the point where x=a .

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Q: The sun is 20 above the horizon. Find the length - Subast a shadow cast by a park statue that is 24…

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Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

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Q: Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8…

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A: To evaluate the given integral

Q: Differentiate. f(x) = 8 e 6x f'(x) = [

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Q: Determine if the improper integral converges or diverges. 6- sin p 62 converges Odiverges do

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Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

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Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: Solve the matrix equation for X. 23) M= ET 14 -[-5²2) N =-12-20] X = MX-N -8 -5 (-14) +2 (-2) = -5…

A: The given matrix is; M= -5 2       , N= -14 14         1  4                -2   -20.

Q: Find all the second partial derivatives. f(x, y) = x6y5 + 2xºy fxx(x, y) = fxy(x, y) = fyx(x, y) =…

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Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: 3. The linear equation f(x) = x is called the identity function. (a) What is the derivative (slope)…

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Q: Let u, ER" prove that |uv|≤|||||||||

A: This question can be solved using the following conceptsa. Dot product of two vectorsb. Modulus of a…

Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

A: We have to find the solution of the given differential equation.

Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. x²y² =…

A: Given expression: x2y2=49                ............(1)

Q: 3. Determine the domain and range of h(x) = √√4 – x

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Q: find the gradient of z = x² + y² - 3x4 at point (2, 1)

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Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: f(x)=2x-1 9X+1

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Q: Please help me answer this question  Brenda is stumped when it comes to graphing polynomials.  She…

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Q: Find the particular solution of each of the following. y(1+21n²) dx+xdy=0; y(e)-e

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Q: Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For the constant numbers a and b, use the substitution z = a cos² u + b sin² u, for 0 <u<, to show…

A: This question can be solved using the concept of integration by substitution.

Q: Use the cylindrical shells to find the volume of the solid A sphere of radius r

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Q: Integrate: 16-y4 y³ - dy

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Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2x 3

A: Given, limx→12x+2-x3

Q: 2. A curve is defined by f(x) = a√√x+b, where a and b are constants. the point (4, 6), determine the…

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Q: What is the general solution of the differential equation below?  dy/dx = y/(x2 + 1)  when y > 0.

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Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

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Q: 8 x²+2 2 √x dx

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: The given integral is sqrt(5+1/x)/x2.

Q: Eliminate the arbitrary constants. y = We-x + Ve³x

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Q: What is 0.55 as a fraction

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {6,…

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Q: 2.  Evaluate the integral. 7 5 dx (x − 6)2   please hsow step by step clealry

A: Given Expression: ∫57x-62 dx

Q: Find zxand zyif z = x² tan-¹-y² tan-¹

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: 12. Discuss the continuity of the function g(x) x²-4 on the interval [-1,2].

A: Given gx=1x2-4 interval x∈-1, 2

Q: Suppose the density of a wire is given by p(z) = 0.6 +0.09 sin(27) kg/m, where is the distance from…

A: NOTE: Refresh your page if you can't see any equations. . the given density function is the length…

Q: = Find the GS of 2xyy' + y² + tan x = = 0

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Q: 4. X x - 2 > x; in the form of intervals

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 8,…

A: Let U be the universal set of natural numbers less than 11.  Consider the following sets. A=1, 8, 4,…

Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: Evaluate the definite integral. [/4 sin(t) dt cos (t)

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Q: Find the derivative of the function. 3 1 F(t) = (st ²+ 1)² F'(t) = 15 (5r+1)* X

A: To find the derivative of given function.