d 5x+3 4. dx 7x+2

Q: A general solution of the differential equation d3y/dx3-3d2y/dx2+4=0

A: The given differential equation,        d3ydx3-3d2ydx2+4=0

Q: k(x) = 22.8 cos (0.3(x – 72.29)) – 2.9 1(x) = 0.5e (-x+82.762) - 25.7

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Q: Find an equation of the largest sphere contained in the cube determined by the planes a 1, a = 7, y…

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Q: 6. sin x (1 + sin x cos x) dx y csc² ( tan (y²)) dy 7. cos²(y²) sec (11w) tan (11w) V (2 – sec…

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Q: 2. Evaluate f'(5) for y = v2x² – 1

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Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: The equation y? = cx is a general equation of A. y' = 2 B. y = 2x 2x C. y' = y y D. y': 2y O A NONE…

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Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

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

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: 2. y = x5 + 2x* + 5x3 + 4x² + x +1

A: Find the derivatives by applying basic differentiation rules.

Q: if a 2. Then, lim f(x) =

A: To find, limx→2-f(x)

Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: 2. Vector v has a magnitude of v53 and a directional angle of 164.055°. Select the response below th…

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Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

Q: Find div F and curl F if F(x, y, z) = x’i – 7j + yzk. - div F= curl F=

A: Given that     F(x,y,z) = x5i - 7j + yzk

Q: = (7, –2) am

A: Given; u=<7,-2>            v=<-4,5>

Q: Please

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Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

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Q: dx xV4-x?

A: Explained below

Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

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Q: A function g(x) has the following graph: 5. -2 2. What is lim g()? does not exist IN

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Follow the procedure given below.

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

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Q: its magnitude and direction angle. 14. ļu| = 8, 0 = 225°

A: Topic:- vector algebra

Q: 3.5n 7n+1 n=1

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Q: The differential equation (xy2 + y)dy = (x+1)dx is separable. %3D

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Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: x*dx Using trigonometric substitution , (1+x²) = A) None sec³9d0 B tan20 tan*Ode sec®

A:

Q: Each of the following statements is an attempt to show that a given series is convergent or…

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Q: pe of a trail at a distance of x miles from efinite integral of f(x) from x=3 to x=5

A: answer is in next step

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: Let u = x + 7y and v = x - y. Subtracting v= x - y from u = x + 7y, we get y = Adding u =x + 7y and…

A: Given:      Let u=x+7y              v=x-y Subtracting v=x-y from u=x+7y, we get…

Q: Find the area of the region bounded by  y=x^3,y=x+6 and       2y+2=0.

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners…

A: We need to determine height of the box.

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 E 6. o+z (p*-1)- -

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Q: Find the quotient of the complex numbers. Leave your answer in polar form. co cos

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Q: у" - у'— бу %3D 2, у (0) %3D 0, y'(0) = 0

A: Given that     y" - y' -6y = 2 , y(0)=0 , y'(0) = 0

Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

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Q: L 32 da = 65 %3D Select one: O True O False A2Vadx = 104/3 Select one: O True O False S (+4)(a+3)da…

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Q: Find the magnitude and direction angle of the given vector. 5. u = (-10, 24) 6. u = (-5, -12) %3D n…

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Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: dx tan x +sin x+1

A: Solution of the problem as follows

Q: (y – cos?x)dx + cosxdy = 0 %3D

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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