(b) (cos(x) (2x + 3))'

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A:

Q: Find the solution of the given initial value problem. 8 y' - 7 y = cos t t-8 Y(T) = 0, t> 0 t y(t) =

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Q: Evaluate: £²₁² [(x²-²²] du dt 2 y²)²₁ x+y

A: Given, ∫-13∫02(x2-y2)2(x+y)dudt

Q: Find the surface area of the composite figure. 14 ft 9 ft 9 ft 18 ft 10 ft SA 10 ft 10 ft 10 ft 14…

A: Concept: Area of the triangle=12base×heightArea of the square= side2Area of the rectangle=length…

Q: True or False? 4. Let f : R → R be a function defined by f(x) = x^2+1. If B = {2, 5}, then…

A: according to the company rule we can answer only the first question and rust can be reposted.

Q: Write down a differential equation of the form = ay + b whose ay dt all other solutions diverge from…

A: Here, the differential equation is of the form  dydt=ay+b⇒dydt=ay+ba⇒dyy+ba=a dt⇒∫dyy+ba=∫a…

Q: (x + 2)" Q4. Find the convergence interval and radius of the series : Σ (-1)**² n=l n

A: We need to find interval and radius of convergence.

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

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Q: Evaluate the following * 6cos (2x) dx O3sin(2x)+C O 2sin(2x)+C O sin(2x)+C O-3sin(2x)+C

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Q: Let F(x,y)=√√y-x, then answer the following ( (1) Find the function's domain (2) Find the function's…

A: According to our guidelines we can answer only one question or three subparts of a question.other…

Q: Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy –…

A: We have to solve given D. E.

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: (x² - y²)²] 1²₁ 1² du du dt x+y Evaluate: ₁ S

A: Given ∫-13∫02x2-y22x+ydudt Since x2-y22x+y is constant with respective u and t, we take constant out…

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

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Q: Find the area of the surface obtained by rotating the curve y = cos(2x), 0≤ x ≤ π/6, about the…

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Q: 3 -2 Evaluate: ₂₁ [2³(x + y)³] dz dy dx

A:

Q: Given f(x)=x²-1 on [-2,2]. a. Find the critical numbers of f on the given interval. b. Determine the…

A: A critical number of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: 3 -1 0 2 2 х -у 2 x+y 2 dx dy

A: Given

Q: II. Find the inverse of each matrix. 5 -11 -9 1. -7 DO 8

A:

Q: Solve the initial value problems dy 19. (x + 1)- dx -2(x² + x)y=x+1' x>-1, y(0) = 5 dy 17. 0 + y =…

A: Given (x+1)dydx-2(x2+x)y=ex2x+1       y(0)=5, x>-1To find Solution of Differential Equation:

Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

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Q: A particle is moving along the curve whose position vector is given as R(t) = (t)i + ( În (cost)) j…

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Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

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Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

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Q: Evaluate the integral: 7/20¹² sin (1) dt du

A: Follow the procedure given below.

Q: 2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to the…

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Q: Find the area of the region bounded by the curves 1 (+6)² = 4 and the x-axis using vertical strip

A: using vertical strip we have  Area=∫-∞∞∫1x+624dydx

Q: -X y" + 2y² + y = €²² ln x e^

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Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

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Q: 31² If the velocity function of a moving particle is given by v(t) = 6 – + x, find the position…

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Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.

Q: Evaluate [x² √2x+1dx

A: Indefinite Integration

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

A:

Q: ♥ 82u = cos x cosy, u(x₁#) = X ₂ U (π, y) = 2 cosy 2 axdy Ans: u(x,y) = sinx sing + 2/2² + 2 cosy -…

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Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: Evaluate the double integral: 2 JI ਸਰੰਜਨ y²) DA R where R is the unbounded region between 0 ≤ 0 ≤ 2π…

A: Let's evaluate double integral by converting into polar coordinates.

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: S- tanh e cosh(z) – sinh(z) -dz

A: Let's evaluate given integral.

Q: • show that Ф (x, y, z) = 8²4 PDE: агф + дуг дуг х2 +у2 + Z2 8²4 872 satisfies the

A: First we find the respective partial derivative then add them to get value 0. see below the…

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: This is a problem related to function and number system of the function. Based on the general…

Q: (x²-y²)²1 Evaluate: ₁²² du du dt x+y

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Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2e5t sinh(7t) — t8…

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Q: Consider a continuous function f(x) = 2e-1-2x, which is true about the relative extrema of f? f has…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: To convert a point from Spherical coordinates to Cartesian coordinates, use equations  x=ρsin ϕcos…

Q: Let a, b ∈ R. a) Find the determinant of  a 2  b -2 1 2 4 -2 -1   b) Suppose u, v, and w are…

A: Concept: Determinant of the matrix: The determinant of the matrix is the expansion of the matrix…

Q: 2-S Sin ³ x cos" x dx

A: SOLUTION-

Q: Evaluate the integral: -2e π/3 ₁²/³ tlnu tans ds du dt

A: Topic = Integration