EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

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Q: C 1000 A В

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Q: Solve the linear differential equations dx= 4+5y =D 8 sin x when %3D x-0, y=0 y'=o Find y when x = T

A: See the details solution in below

Q: 5. у %3D sin?(3x? — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(si...

A: Topic = Derivative

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Q: Given a function whose graph is shown below. 1 0.5 -5 -4 1 2 -0.5사 -1.5 Determine lim f(x). r--1

A: We have the find the limit of f(x) at x = -1 using the graph of f(x).

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A: Given that: f(x)=7x+7     if    x≤27x-8      if   x&gt;2

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A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: n (n+1) (2n +1) 2. Find the sum (k+4)2, hint use use this formula and subtract out the 1, 2 ,3, and ...

A: Explanation of the answer is as follows

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Q: Integrate the function. 16x +즐 + C V16 -2 8 sin 1 +C 2 V16-2 +C + 16V16 - x2 8x - W16-2 +C

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Q: cos(x) dæ with n = 4 is: The Trapezoidal Rule approximation for

A: Given ∫14 cos(x)x dx   n= 4 here f(x) =cos(x)x

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Q: The given problem needs the fırst derivative. Find the first derivative. a² x Y= a2 + x

A: Here we have to find the first derivative of the function. dxndx= n xn-1

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Q: A tree on a hillside casts a shadow c = 225 ft down the hill. If the angle of inclination of the hil...

A: Topic = Trigonometry Height of the tree is 130 ft.

Q: Find the arclength of y = 2x – 5 on 0 < x < 4

A: Topic:-  derivatives

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Q: Use the graph to find the limit (if it exists). Sx + 3, x + -1.5 lim f(x), where f(x) = { -3 ,x = -1...

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Q: Given a function whose graph is shown below 6- 5- 4- f(x) -3 -2 |-i 0 1 2 3 4 5 -1 -3 What is f(1)? ...

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A: The given function y=x-1if x&lt;32x+1if 3≤x

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Q: Continuity of Functions on an Interval Determine if the given function is continuous on each of the ...

A: topic - functions and continuity

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Q: 2. Summation of a constant: E,=c, +c, +c3 +...+ c, = nc %3D Example Evaluate the following summation...

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Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: тӕ 11 if x - 4 If f(x) is a function which is continuous everywhere, then we must have = u

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4

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Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

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Q: Exercise 3.1. Find the derivative of the following functions: y = tan 2x 2. g(x) = xsin x – 5 cos x ...

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Q: Given the following non-homogeneous system of first-order linear differential equation: v = 5 y, + 3...

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Q: 8. Sum of the products of a constant and a variable: Ecx, = cx, +cx2 +...+cx, i=1 = c(x1 +x2 +...+x,...

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Q: 1/ |x - 1 x2 + 4x - 5 2/ -3|x - 1|-6= 3 3/31x+ 리+6<15

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Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one decima...

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