1. y = C₁ cos wt + C2 sin wt; w a parameter not to be eliminated.

Q: Find the interest rater needed for an investment of $5,000 to grow to $10, 000 in 9 years if…

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Q: Find the indicated trapezoid rule approximation to the following integral. 3 Sex dx using n = 8…

A: Given Integral:- ∫23e-xdx

Q: 1 f 11 - 1² di 2 dt -1

A: Evaluate the integral

Q: An athlete signs a contract that guarantees a ​$9​-million salary 6 yr from now. Assuming that money…

A: The final amount, A=$9​-million Time, t= 6 years

Q: A baseball team plays in a stadium that holds 56,000 spectators. With ticket prices at $10, the…

A: NOTE: Refresh your page if you can't see any equations. . x=average attendance  y=price per ticket…

Q: Find the distance between the two points shown below. A -6 -5 -4 -3 -2 Distance = -1 4 3 2 1 -1 -2 1…

A: we will find the required.

Q: Evaluate the integral ntegral = * √(-10 + t) dt

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Q: dy Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx y = (8- U=…

A: We need to write the function y=8-7x4-4 in the form y=f(u) and u=g(x)   And then we need to…

Q: (1 point) Find the arclength of the curve r(t) = (-5 sint, 6t, -5 cost), -6 ≤ t ≤ 6

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Q: Identify where on the number line 1-1.8 is located. DA ◆◆◆ -14-13 -12 -11 -10 -9-8-7-6-5-4-3-2-1 0 1…

A: identify the point where |-1.8| is located ?

Q: The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q² + 0.00049³. (a) Find C'(100).…

A: the cost function for a certain commodity is C(q) = 86 + 0.14q - 0.008q2 + 0.0004q3C'(q) = ddqC(q)

Q: 1. Use Simpson's method with n = 4 subintervals to estimate 1 1+x4 S dx Round your final answer to…

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Q: stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s.…

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Q: 13. (a) Express each of following sum in sigma notation 1 a) 1 + 2 + 113 +... + 1 20 b)…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: If f(x) = sin² x, find f'(x) f'(x) = Find f'(2) f'(2) =

A: d dx(sinx)=cosxddx(cosx)=-sinxsin2x=2sinxcosx

Q: Use the Fundamental Theorem of Calculus to find •16 sin(x) S." dx =

A: Topic - Definite integral we are given, ∫116sinx4x34dxFormulas usedddxxn=nxn-1∫sin(x)dx=-cos(x)+C

Q: Let c be a constant. The function (0, 1) and (2, ∞0) (0, 2) (2,00) f(x) = 2 is concave up on the…

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Q: The marginal cost for a company to produce q items is given by MC(g) = 0.004q^2- 0.6q+ 615. The…

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Q: о Use the graph of f and g to calculate lim 1 10 8 4 6 4 2 04 -2 -4 -6 -8 -10, 10 -8 Nonexistent -6…

A: To evaluate the given limit

Q: 6. Use a sum or difference identity to find the exact value of sin 255⁰.

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Q: valuate the integral using either of the following methods: - INTEGRATION BY PARTS -INTEGRATION BY…

A: Integration by parts formula is: ∫m(x)n(x)dx=m(x)∫n(x)dx-∫ddxm(x)∫n(x)dxdxIn the given question,…

Q: The marginal cost for a company to produce q items is given by MC(g) = 0.004q^2-0.7q+ 650. The…

A: Topic:- application of algebra

Q: (2) Expand f(x) = cos x into a Taylor series centered at the origin (a = 0).

A: To expand fx=cos x into a Taylor series centered at the origin a=0.

Q: Find the particular solution. (2xy sin x + x²y cos x) dx + (x² sin x + 2)dy = 0; when x = 0, y = 4

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Q: - Find dy dr (4x² + 2 cos(x)) dy d.x 7 Type sin(x) for sin(x), cos(x) for cos(x), Use x^2 to square…

A: The given function is; y=(4x2+cos(x))7

Q: the given set of curves y = 4x +3₁ y = 6 -x - 2x²₁ x = -4 and x = 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log5 (8 - x) =…

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Q: 1. The half-life of a certain radioactive substance is 30 years. Assume we have 10 grams of the…

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Q: For what point on the curve of y=9x2−3x is the slope of a tangent line equal to -57?

A: Please see the below picture for detailed solution.

Q: Define Hybrid Integration

A: A process of integrating cloud based services with the work applications and the system in premises,…

Q: Let f(u)=u4 and g(x)=u=3x3+1. Find (f◦g)′(−1).

A: We have to find out

Q: Applications of integrals destion 30, Instructor-created question The marginal cost for a company to…

A: Topic:- application of algebra

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x² = 49 x-7 (a) Find the…

A: Given a function f(x)

Q: Find an equation of the tangent line to the curve at the point (1, 1). y = In(xex³) =

A: Given query is to find the equation of the tangent.

Q: Classify the following ordinary differential equation by ORDER and state the DEPENDENT and…

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Q: a 60° b Find a and b. с 30° Note: Triangle may not be drawn to scale. Suppose c = 3

A: using sin law in triangle sinAa=sinBb=sinCcgiven A=30°            B=60°            C=90°…

Q: For the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to…

A: Since the student has posted multiple questions and has mentioned to solve question numbers 59 and…

Q: 3. Given: sin(0) = cos(p) = Show all work! Find: sin(0 + p) π where = < 0 < π 2 5 where π < φ< 13 3π

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Q: Use Green's theorem to evaluate ·ld' F. dr. (Check the orientation of the curve before applying the…

A: Green's Theorem states that a line integral around the boundary of the plane region D can be…

Q: If f(x) ƒ'(1) = 6x² + 3x + 6 -, then:

A: Topic - derivative of a function we are given ,f(x)=6x2+3x+6xWe know thatquotient…

Q: Let P(t) be the population of bacteria in a glass dish, in millions after t hours. suppose we have…

A: Given P(t) be the population of bacteria in a glass dish, in millions after t hours

Q: Find the inverse function for f(t) = 41e0.25t f-1 (t) =

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: S (3x³-3)dx √√x4-4x+2 3

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Q: The size of a certain insect population is given by ​P(t)=100e.03t​, where t is measured in days. At…

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Q: Find dy/du​, du/dx​, and dy/dx.   y=u53 and u= 2x3-3x2

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Q: ind the absolute maximum and minimum of the function on the interval. f(x) = 2x¹-16x³ + 20x²-7, on…

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Q: Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible.…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: 4. Consider the parametric curve given by x(t) = -7t and y(t) = −3t². (a) Sketch this curve on the…

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Q: Evaluate the following limit. Enter an exact numeric answer. To enter ∞o in your answer field, •…

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Q: A flat screen television is advertised as being 44 inches on its diagonal. If the TV is 20 inches…

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