07* 1. Find the general solution of the differential equation (Only the homogeneous part) y = A + Be^-2t y= A + Bcos2t y = A + Be^-t y" + 2y = (1+t) cos(2t).

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Q: An ice cube is freezing in such a way that the side length s, in inches, is s(t)=1/2t + 2 where t is…

A: INTRODUCTION When a cube is held in  three-dimensional space, the area occupied by the sides of…

Q: 4)- S da 1+2

A: We need to solve integral. As per Bartleby guidelines we can solve one question. Please upload other…

Q: Evaluate the indefinite integral (31² √/i³ + 1² + 1 + 2√²³ + ² + 1) di.

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Q: A farmer has 500 feet of fence for constructing a rectangular corral. One side of the corral will be…

A: We need to find maximum area.

Q: (2) 1 2 √1-4x² -dx

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Q: Solve the given differential equation. 2dy + In xy dx = (8x + In y)dx -0 y =

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Q: (i)Suppose that g(x) = 1 + √x and f(g(x)) = 3+2√x+x, then find the function f(x) and (ii) let us…

A: Let's find function f(x) and value of c and d.

Q: - 3x² + 12x + 63, x = The region bounded by f(x): the volume of the solid of revolution. Find the…

A: Given: fx=-3x2+12x+63, x=0, y=0. Rotation about y-axis. To find: We have to find the volume of the…

Q: identify the vertex, focus, directrix, and axis of symmetry of the parabola. Describe the…

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Q: 12. Suppose lim_f(x) = -1, x--3- of the following statements is I. lim f(x) = -1 x→-3 X→-3+ limf(x)…

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Q: Let C be the curve y = 4√√x for 2.8 ≤ x ≤ 4.3. 8 7 6 5 4 3 2 1 2 3 Find the surface area of…

A: Given: y=4x , 2.8≤x≤4.3 To find: Surface area of revolution about the x-axis.

Q: You are serving 40 mixed green salads, each requiring 2 Tbl. of Italian dressing.  How many cups of…

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Q: A volume is described as follows: = €2.9x, y = 1. the base is the region bounded by y 2. every cross…

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Q: Graph the following functions: . 1. y = x at n = -2, -1, 0, 1, 2, 3. 1 1 3 2 2' 3' 2' 3* 2. y = x at…

A: Consider  y=xn     at  n=-2,-1,0,1,2,3y=xn       at n=12,13,32,23

Q: Kamariah invested RM6000 at a simple interest of 8% five years ago. Find the number of years…

A: Kamariah invested RM6000 at a simple interest of 8% five years ago. To find the number of years…

Q: classify > 0²2 8x² +4 dez 2 дуг By usin this rule B²-4AC = 0

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Q: Use the midpoint of each subinterval for the value of each ck to find the Riemann sum S5 for the…

A: Let's find Riemann sum S5 by using midpoint rule.

Q: Question 1.1 Four vectors a, b, c, d are given as shown in this sketch: Find the following vectors…

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Q: Let h be a continuous function over the interval [-10, 6] with derivative given by h' consisting of…

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Q: Use the midpoint of each subinterval for the value of each c to find the Riemann sum S f(x) =…

A: By using the midpoint of each subinterval for each ck to find the Reimann sum S5 for the following…

Q: Determine whether the equation is linear in the variables x and y. 4 3 + y X 5=0 O The equation is…

A: Determine

Q: Calculate the integrals (1) +² 9+ x° -dx

A: See below the answer and calculation As per Bertleby Guideline I have to solve only first question.…

Q: 6 by the graph of g(y) Use cylindrical shells to find the volume of the solid obtained by rotating…

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Q: Find r "() if r(t)= t³i-2t²j+tk.

A: Given a vector function r(t)

Q: Problem 2. Introduce the following methods and evaluate the following int (1- - e-*)dx (a)…

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Q: he compound amount S, 1.e., the sum of the principal and all the interest earned after t ye

A: Topic:- application of algebra

Q: 3. Calculate the integrals x-4 (2) S₁x2² -5x + 6² -dx

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Q: Solve 4²4 cx2 - 01 dy 4x + 64 = e + 4 sinh3x.

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Q: 6. Answer the same questions as in the previous exercise for the function f(x)=e-²/2 a. Determine…

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Q: 12. Consider the implicit equation rs + ln(s) = 1. a. Find an explicit equation r(s). b. Find r' by…

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Q: Find, if possible, A + B, A- B, 2A, 2A-B, and B+ A. (If not possible, enter IMPOSSIBLE in any single…

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Q: 8. 1 lim x1-x x →1

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Q: Consider the function y=x2−3x−8. Using the values x=−5 and △ x = 0.4, calculate △ y−dy. Round your…

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Q: Find the distance from the point (-7, 6, 8) to the x axis.

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Q: Calculate the simple interest earned. Round to the nearest cent. P = $2900, r = 5%, t = 1 year

A: We have given  P = $2900 r = 5% t = 1 year  Using formula for simple interest  I=p×r×t100…

Q: d the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We will find the required.

Q: Evaluate the iterated integral 2 7/2 J y sinx y sinx dy dx 1-

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Q: 0, 0 = { 1 - 0, f(x) 0≤x≤2 4-x², 2 ≤ x < 3 x ≥ 3

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Q: interior

A: Given, f (x) = 36x2 – 150 represents the amount of money he earns per room decorated x represents…

Q: 4) solve y" - ay't ay when t=0. 11 = cast; y(t) = 1, y '(t) = 0

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Q: Find the solutions of the DE d³y 4x³ +3 d2y dx2 +3 dy +y =o dx

A: The answer is given below:

Q: the mathematical model for learning an assembly-line procedure needed for assembling one component…

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Q: The graph of f consists of two line segments and a semicircle as shown in th A f'(x) = 0 for x = (A)…

A: here ,  we have graph of function f(x) then we have to find value of x for which   f'(x)=0since , we…

Q: 2. Find the intersection point of the tangent lines at the points (1/2, 2) and (2, 1/2) to the graph…

A: Topic = Functions

Q: Determine the size of the matrix. 1 2

A: Given,            The matrix is 12.To find : Determine the size of the matrix.

Q: Use differentials to approximate √86. b Express your answer as a + C Answer where a is the nearest…

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Q: 2x²+x-1 x²+x-2 Find the horizontal and vertical asymptotes of the curve y=:

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Q: Givin f(x, y) = ez¹+8zy then the partial derivatives (31²)ez¹+8ry² ○ (3x² +8y7)e²²+8zy² □ (3x³…

A: Given fx, y=ex3+8xy7, then to determine the partial derivative ∂f∂x.