[x² √14 + x³dx

Q: Answer TRUE or FALSE. The general solution of a 2nd order non-homogenous linear ODE of the form…

A: The answer is in step 2.

Q: 41. f"(0) = sin 0 + cos 0, f(0) = 3, ƒ'(0) = 4

A: Given f''(θ) = sinθ + cosθf(0) = 3 , f'(0) = 4

Q: Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not…

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Q: Determine the absolute minimum of the function shown in the graph. Answer: x = f(x) = Determine the…

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Q: Draw the graph of y = 4*, then use it to draw the graph of y= log4(x). y

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Q: The rate at which a battery charges is slower the closer the battery is to its maximum charge Co.…

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Q: A cylindrical can with volume 40 pi cm^3 is to be constructed. The material to be used for the sides…

A: Ans: radius = 5 cm height = 1.6 cm  For detail go through the solution I have solved step by step in…

Q: If a rock is dropped from a height of 262 ft, its poistion t seconds after it is dropped until it…

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Q: Differentiate y = (9x - 1)³. y = 8/9x - 9+

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Q: For the following telescoping series, find a formula for the nth term of the state that the series…

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Q: 15 [ f(a)da - f(a)da 3 10 where a = and b b f(x) dx -

A: from properties of integration  ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx

Q: Write the expression in rectangular form, x + yi, and in exponential form, reie. 3π int 8 [5 (cos 35…

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Q: 1. Solve the DE shown below using Reduction of Order; n = 2 y" -n²y = enx

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Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

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Q: Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. b.…

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Q: Find lim (x,y) →(6,5) 5x #6y 25x²-60xy +36y² 5x-6y by rewriting the fraction first.

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Q: 8 1 n²+3 n=1 approximates the infinite sum with an error smaller than 0.001? added up so that the…

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Q: S sin(7t) sin(4t)dt

A: See this solution in below.

Q: Σ (k+ 1) (k + 2) k=1

A: Ratio Test

Q: Find the (2x-4-7e") dir 2r For the toolbar, press ALT+F10 (PC S Paragrap

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Q: A particle moves along the x-axis with velocity given by v(t) = 47 sin (πt) for time t≥ 0. If the…

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Q: Consider the following acceleration a = a=32, v(0) = 15, s(0) = 6 d²s initial velocity, and initial…

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Q: For the given cost function C'(x) = b) The minimal average cost $ 14400 + 800x + x², First, find the…

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Q: Use the Ratio Test to determine whether ∞     n = 1an converges, where an is given. State if the…

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Q: 3. An arctic cold front is moving through an area. It is 37° when the temperature begins to drop.…

A: Let's find linear equation(temperature vs time).

Q: a = sin n NT 2

A: an=sinnπ2

Q: Find √√³ 3 dA over the region R = {(x, y) | 0≤x≤ 5,0 ≤ y ≤ 2} by identifying it as the volume of R a…

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Q: Find the depth of cut x needed for the V-slot shown (Assume that the V-slot is symmetric) The depth…

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Q: 2y" + 3y - 2y = te-2t, y(0) = 0, y'(0) = -2

A: The given equation is; 2y''+3y'-2y=te-2t, y(0)=0, y'(0)=-2

Q: The sum: can be written as a single integral in the form: Determine a and b. a = 2 5 -1 [^²¸ ƒ (2)…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: A particle moves along the x-axis with velocity given by v (t) = 4 sin (2t) for time t ≥ 0. If the…

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Q: For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value…

A: The given function, fx=-2x=0-x2+4x+a0<x<1mx+b1≤x≤4 We have to find the values of a, m, b so…

Q: S₁ 3x 2 1+x² dx

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Q: Question Use partial fractions to find the power series of -6 f(x) = (x²+4) (x²-2) Select the…

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Q: A football is propelled straight up from ground level. Its height above the ground at time t is…

A: The height of football after time elapsed t is given.

Q: Condense the following expressions into a single logarithm by applying the properties of logarithms.…

A: Topic - Logarithmic equations  we are given,…

Q: 4. Find the total distance traveled by a particle that has velocity V(t) = 2t -4 over [0,5]

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Q: 4. Optimization A box is constructed from a square piece of cardboard with sides of 4 feet by…

A: Volume

Q: Evaluate the following integral: S x³ /9 - x² dx

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Q: Find the limit of the following sequence or determine that the sequence diverges. 4+1 4n -2

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Q: Determine the following limits. If infinite, specify co or -∞o. If an answer does not exist, explain…

A: Given; 1) limx-0 (7x-2x)/(11x-12x) 2) limx-1+[x/(x-1) -1/ln(x) ].

Q: 2 cos²x + 7 smx-5=0 on on [012]

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Q: 2. Expand the function in a power series and determine the interval of convergence. a. f(x) = 1 1+4x…

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Q: Given f''(x) = 3x + 3 and f'(-3) = = Find f'(x) = and find f(4) = - 3 and f(3) = - 4.

A: Given; f''(x)=3x+3 f'(-3)=-3, f(-3)=-4.

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

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Q: 15 15 Local Extrema, Applied A Next week, we will look at some applications of Local Extrema, but we…

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Q: Using geometric series, express the number 2.117171717... as a ratio of integers.

A: Given number, 2.117171717...

Q: ← 1 5+2x -=-(- ₁ -/-) ₁ Let f(x)= a. Use the following definition of the slope of the tangent line…

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Q: Consider the function f(x) = = 10 8 x3 x6 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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