Evaluate the iterates integrals 2) r*dA D = {(x, y) : 1 < a

Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

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Q: 7. Find the general solution of the following differential equation: V1 + x²dy – xydx = 0.

A: Explanation of the answer is as follows

Q: dy Find for the following expressions: dx a) y = x5 In(3x) b) y = 2 cos (+ 2x³ c) 3x2 + 7x + cos (x)…

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Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: t-1 dt

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Q: Evaluate sin[2 arccos( -). -30/17 V(33)/17 -240/289

A: Please see the answer below.

Q: Find the constant a such that the function is continuous on the entire real line. 4sin x if x < 0…

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Q: d) 2х3у + e2y — 4х + 5x2. e) y = (2x* + 4)*x %3D

A: We have to find the derivative

Q: 1. Find the following definite integrals: 1 (a) / 3r*(3x* – 2)5 dæ 1 r2 (b) - 2² – 1 xe dx

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Q: %3D Click on the graph below to choose the graph of the function "arccot (x)." 3

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A: We have to find the equation of tangent plane

Q: 3 2 3 3-

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Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

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Q: 5dz (z+4)Vz+1

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Q: Find the directional derivative of f(x, y, z) = 5y at P(5, 1, –4) x + z in the direction from P to…

A: We have to find directional derivatives for the given function.

Q: 2t dt Vel +3

A: Solving the problem by finding the integration of the problem.   NOTE :: As per our Expert…

Q: If possible, give an example of 2 convergent sequences an and bn such that E(an + bn) diverges.

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Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: Suppose that f '(x) = (x + 7)(x + 4)²(x – 6)³. By examining the zeros of f'(x), identify the…

A: We will find the x- coordinates of the local maxima and minima using the first derivatives test as…

Q: Ap- cos 0 +1 2. Solve the initial value problem. f'(x)= e²* – sin 4.r; f(0)=2 -

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Q: dy Find for the following expressions: dx a) y = x5 In(3x) b) y = 2 cos (;+ 2x*) Зx2 + 7х + cos (x)…

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Q: II Three graphs labeled I, II, and III are shown above. They are the graphs of f,f', and f".Which…

A: Observe the each curve using slope and increasing decreasing properties.

Q: Integrate: (7x³ + 4x²) dx

A: Given:- ∫(7x3+4x2)dx

Q: Evaluate the integral of x(x – 5)1²dx with limits from 5 to 6.

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Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

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Q: ) If we apply Rolle's Theorem to the function f(x)=2x^2−8x−4 on the interval [0,4], how many values…

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Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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Q: Does the sequence {a,} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given problem:-

Q: Find dy/dx and d'y/dx? x = ½ t + 1, y = ½ t° - t, at t = 2 at the given point without eliminating…

A: This question is related to differentiation, We will solve it using given information.

Q: 3. * Sx² e** dx 1. pAx (8x? + 4х 1)+с C esx (8x? - 4х + 1) +С 16 16 1. 1. e** (8x2 + 4x - 1) + с 32…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Evaluate the limit. x4 - 7x3 + 1 lim x→-0 5 - 5x2 – 9x4

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Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

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Q: 8x + 13 2. S dx 3 4x + 8x + x + 2

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Q: ). Determine whether the Mean Value Theorem applies to f(x) 3r + (1,4). -). If so, find the point…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: f(x)=x2-8x-9Differentiatef'(x)=2x-8

Q: Consider the following problem. Find the distance traveled in 15 seconds by an object traveling at a…

A: answer is in next step

Q: Simplify y = arccos. 3

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Q: Which of the following limits is equal to x* dx? (A) lim k 1 3+ n00 k=1 n k* 2 (B) lim E 3+ n n n00…

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Q: 2-9 dv

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Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

A: By using elimination method to find all solutions of the system of equations.2x2-y2=17x2+5y2=14

Q: 3 ex dx,n = 10 х, п 1

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Q: Use synthetie division to show that X is of the thiRd - degree polynomial equation , and solution…

A: Given problem:- x3 -3x2 +2=0  And x=1+√3 is one root then using synthetic division factor given…

Q: A curve representing the total number of people, P, infected with a virus often has the shape of a…

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Q: dz If z = 4xy, x = 2t, y = 1- t then at dt t = 3 is: Select one: O None of them O -38 O -37 -39 O…

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Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

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Q: 22. (1 80 + 16') dv

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Q: 4 Find the arc length of y = (*)* + 70 over [1,2]. 2(x+3)2 (Give an exact answer. Use symbolic…

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Q: Calculus please answer a, b, c, d, and e

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Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))