dy dx -5y=-tr, 5y = ³ 2 y(1)=1

Q: F(s) = 2 (3s-2)(2S-1)(3s+2)

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Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: The given sinθ=25, tanθ>0 . We have to find the values of cos2θ and sin2θ

Q: It is a fact that the function  f(x) =  (9x2 − 2) (4x2 + 4)  has a limiting value. Use a table of…

A: We need to find limiting value.

Q: 10. Consider the piecewise function (with the piecewise having TWO pieces). Find the piecewise…

A: We need to find piecewise function.

Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

A: The objective of the question is slove the system of equations help of determinant.

Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

Q: Answer the following completely. Given: tan a = 2√√6, a € [0,π]

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Q: Explain why a circle of radius 4 cm and a circle of radius 13 m have the same number of radians?

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Q: Determine the limit of the given sequence: sin (159) an = If the limit does not exist, enter Ø. If…

A: Use limit

Q: 3x2+2 0 2x²+4x+3 So dx

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Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

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Q: sin 125Cos 65- cos 125sin 65 find exact value

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Q: 3x²+2 0 2x²+4x+3 Sort dx

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Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: O a) 10 b) 29 Oc) 17 d) 13 Oe) 1

A: Topic:- calculus

Q: Four functions are given below. Perform the indicated compositions to determine which functions are…

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Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y 2 N The function is…

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Q: 5 1 So (125 + 25x + 6) dx 6o S X (1 + x²)3 dx / 1 + x² dx 1

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Q: Does the series n=1 n5/4 converge or diverge?

A: The given series is 1/n5/4, n from 1 to infinity.

Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

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Q: solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson…

A: Let f(x)=cos(x)-x exp(x). Here f(0)=1>0 and f(1)=-2.178<0 Now, Root lies between 0 and 1.…

Q: Find the product of (8 + 6i) and its conjugate. product =

A: solution:-the complex number is 8+6i the complex conjugate of 8+6i is 8-6i

Q: Let R be the region between the graph y=x² and the line the cross sections perpendicular to the…

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Q: minimum maximum (x, y) = (x, y)

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Q: 7. -In2 2ex ex + 1 - dx

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Find the curl of the vector field F. F(x, y, z) = 4x² + 7y²j + 5x²k

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Q: 4. Use the Fundamental Theorem of Calculus to evaluate [(-3) -

A: The objective is to find the integral using fundamental theorm.

Q: Evaluate f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: 3 x - 2x x-1 dx

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Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: 9) Write an algebraic expression for the following cos(arctan 2x)

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Q: dr de sin - r- cos + eª cos = 0

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Q: 1. Using a compound angle formula, demonstrate that sin is equivalent to 2π 3 sin π 3

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: answer is in next step.

Q: (a) AB X AC (b) the volume of the parallelepiped determined by AB, AC and AD

A: As we know the expression for the volume of the parallelepiped is: Vp=AD→·AB→×AC→   The given…

Q: If s(t) = 3t2 – 2t – 1, then s(-1) =

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Q: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

Q: Determine the points at which the graph of the function has a horizontal tangent line. x² f(x) x-3…

A: Given:      fx=x2x-3 A point on a function will have a horizontal tangent line where the first…

Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: Consider the function f(x) = ($) ². a. Find the inverse of f(x). b. Explain why the inverse is not a…

A: Solution is given below:

Q: Evaluate:L{e-3t} = ! Blank 1 Blank 1 Add your answer

A: Let's find laplace of given function.

Q: ydx+(x-y)dy=0

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Q: 3. A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed. a.…

A: Angular velocity= θ/t , θ= 2π×number of revolution per unit time  Linear velocity= radius× angular…

Q: Evaluate the following integral: [²³₁*√√*** (z)dzdydx So 3 +

A: In this question we have to evaluate the triple Integral.

Q: Tutorial Exercise Find the absolute extrema of the function on the closed interval. y = 6 cos x,…

A: Given that, the function is y=6cosx. Differentiate the function with respect to x as follows.…

Q: Find the derivative of the following functions. =S²² 5 1. F(x) = 2. G(x) = √t³ + 8dt 1 Letzte dt et…

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Q: For a function f (x, y), (0, 0) and (1, 1) are two critical points. Also, fxx = 2x², fyy = y²2 and…

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Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…