Solve the exponential equation algebraically. Approximate the result to three decimal places. e-4x² = e3x²-14x 0, 2 -4, 2 3, 2 -2 4, 2

Q: 1. Solve for x, if 0 < 0 < 2n. Write your answers in exact values only. 2 2cos" x + cos x- 1 0

A: Given: 2cos2x+cosx-1=0  and 0≤θ≤2πlet cosx=mthen 2cos2x+cosx-1=0        2m2+m-1=0We know that root…

Q: Evaluate and simplify: sec(960°) – csc(960* 2/3 +6 A 3 6+2/3 B 3 2/3-6 6- 2/3 D 3

A: As we know that; The trigonometric identity; 1). 1cscx=sinx 2). 1secx=cosx 3). sin2×360°+x=sinx 4).…

Q: g(x) f(x) - sin(2²) dt, find f(x). = J

A: To Find: f'(x)

Q: 15. Evaluate L s-3 A) 2e e" +t- 61 +t-61° B) 2e " +1-6t -1– 61 C) 2e" +t-3t² D) 2e" +1-3t

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Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

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Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

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Q: -2 2. S- dx x(x-1)

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Q: Evaluate the double integral over the rectangular region { 2(* sin(1) – y sin(z) dA; R= {(x,v) : 0 <…

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Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = ti + 2t2j + t³k, u(t) =…

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Q: Which of the following is undefined? cot() 131 A B sec(630") tan(-14n) D csc(-810")

A: Find which of the following is undefined.

Q: Find the first derivative of the function below: f(x) = (cos(2a – 7))sin(z+1) %3D

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Q: Compute (a) a1 and (b) r2 for the iterative process defined by an +1 = 2an(5 – an) with æo 3. 10z, –…

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Q: 1 :? 5+ x² Which of the following is an antiderivative of the function f(x) : %3D (a) 2x In(5 + x²)…

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Q: Find the derivative of the function: y = (e**)e Oy = e (e*+ + 1) Oy - (e") (e*+* +1) Oy = (e…

A: We know that derivatives of  d(xn)/dx = nxn-1. And d(ex)/dx = ex.   Here i attached the solution of…

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: Evaluate the definite integrals. (4 significant figures) cosec-4t dt 9. SET A.

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Q: Solve y" – 2y = x²

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

Q: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

A: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

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Q: x-4 dx x2+2x-15 1 -In]x + 5 - Inlx - 31 +C 9 In|x +5|- In|x – 3| + C Option 1 Option 2 Ln x + 5)이 1…

A: Given problem:-

Q: ex-e-* Find Maclaurin series for: 1. sinh x = 2

A: Find your answer below

Q: The measure of an angle 337.5 degrees is equivalent to ra 15 A 4 15n 8 13п 8 13п D 4. B.

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Q: x² – 2 (x + 2)(x + 1)²

A: Partial fraction

Q: Find the conservative vector field for the potential function by finding its gradie h(x, y, z) = 8x…

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Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = 3xy and above…

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

Q: Approximate the point of intersection of the graphs of fand g. Then solve the equation f(x)=g(x)…

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Q: Calculus Question

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Q: 17. y dx — (х + бу?) dy %3D 0

A: To determine the solution of the given differential equation.

Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

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Q: 1 Which of the following is an antiderivative of the function f(r) = %3D 5+ x2 (a) 2x In(5+2?) 1 (b)…

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Q: Find all the first and second partial derivatives of the function f(r, y) = x°y – 3y“. %3D

A: Given :f(x,y)=x2y-3y4To find : All the first and second partial derivatives of the function

Q: 3. If g(x) = -dt, find g'(2). %3D

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Q: (45)ds。(特)"- sa (49) 48 (xs) 1-1

A: The given integral is (x2+5x) /(x+9)1/4.

Q: Given the expression below, y = ecos arc sec(ln(r |- determine y.

A: The derivative is given below

Q: Use the properties of the derivative and the given vectors to find the following. = ti+ 8 sin(t)j +…

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Q: Find the general solution to the following equations. dx dy 1. + y = x , = 3y dt dt

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Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004q - 0.9q + 615. The…

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Q: 1 2 f(t) = 3 Vi+1 2. Given SET A. determine f"(t)

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Q: Evaluate the integral. (5 – 2t + 3t2) dt |

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Q: Find the area of the region enclosed by y 3.5x and a = 6 – y?. Use horizontal strips to find the…

A: Given

Q: Evaluate the line integral / (2x + 4y)dx + (2x – 9y)dy along the curve C : x = 4 cos t, y = 8 sin t…

A: Solution is given below:

Q: x3-4x-10 dx. x2-x-6 (2x + 2 In|x – 3| - 4 In |x + 2|) + C - 2 In|x – 3| + 4 In |x + 2l) + C Option 1…

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Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…

Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: +2x-15 Inkx + 51 -inlx- 31 +c In]x+51-Inx- 31+C Option 1 Option 2 |(x + 5)°| +C (*+5) +C *-3 Option…

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Q: 3. [sinh ot e"dt Ans.

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