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Q: Solve the differential equation below: (D^2-1)y=e^-2x sin^e-x
A: Solve the differential equation below: (D2 -1)y=e-2x sine-x
Q: Suppose that ()=-6 and ()-4, and let g(x) f(x) sin cos x and h(x) = Answer the following questions. ...
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Q: Find the derivative of the function. y = cot?(sin(e)) y' =
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Q: A loan, amortized over 20 years, is repaid by making payments of $1,500 at the end of every month. I...
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Q: (e) Every functionf defined on (-∞, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞ mus...
A: topic - functions
Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their d...
A: As we know that the derivative of uv form is given by ddxuv=u'v-uv'v2 see below the answer and calcu...
Q: Which of the following integrals represents the length of the curve y = cos(x), 0 < x < 2n? А. 1+ si...
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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. = . ...
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Q: A model for the average price of a pound of white sugar in a certain country from August 1993 to Aug...
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Q: 5x2 tan(x) Find the following: Let f(x) = sec(x) 1. p' (x)= 2. pr (2)=
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Q: Solve. Vx-3 +5 = x ... Select the correct choice below and, if necessary, fill in the answer box to ...
A: We have to find solutions
Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1 Pa(x) =
A: this is the polinomial expansion question in this we use maclaurian transform formula and answer is ...
Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100, 1...
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Q: 2. Solve example 2 of rational inequality. You can refer to example 1 for the gide steps Example 1 3...
A: Inequality
Q: 4 8 %3D 4x+ 12 2-9 x-3
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Q: Find the radius of convergence and the interval of convergence. 'k(k + 3) k=1 Radius of convergence:...
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Q: 7. The depth of water in a bay changes due to the tide. On one particular day, the depth can be mode...
A: Given: - The depth of water in a bay changes due to the tide. On one particular day, the depth can b...
Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) %3D (1 + x)5 f(x) =
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Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the point...
A: First I have written the rule of minimum rate of change of a function at given point and then find t...
Q: A contract requires lease payments of $800 at the beginning of every month for 6 years. a. What is t...
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Q: B. Prove that the given equation is a solution to the given DE: 7. y = Ax + Be* ; (x- 1) y" - xy' + ...
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Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the...
A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first quest...
Q: Natalie wants to accumulate at least $40,000 by depositing $2,000 at the end of each month into a fu...
A: Given query is to find the the number of deposit to reach the goal and the time taken.
Q: The figure shows how a function ?(?)f(x) and its linear approximation (i.e., its tangent line) chang...
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Q: 6. 4 -6 -4 -2 -2 24 6 -6 -4 -2 -2 4 6 -4 -4 -6 -6 (a) Graph of f (b) Graph of g 2. 2.
A: Refer to the graphs given in item 2. Determine the interval/s where f and g are continuous. Identify...
Q: Solve. p+ - = - 6 %3D
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Q: Please do 35
A: We have to find the monotone intervals, local maximum and minimum values and concavity intervals.
Q: Find the equation of the tangent to the curve y=xcosx at x= 7 . Use exact values in your answer if a...
A: Given query is to find the equation of the tangent.
Q: 1 Given f(x) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer x + 10 ...
A: Given: f(x) = 1 / (x + 10) Interval : [ 9 , 9+h ]
Q: Solve. y+2 y-10 = 3 4 3 Select the correct choice below and, if necessary, fill in the answer box to...
A: We will find the solution of given equation as shown below
Q: An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day....
A: Question- An airline finds that if it prices a cross-country ticket at $500, it will sell 300 ticket...
Q: Jasmine received a $38,000 loan from a bank that was charging interest at 4.50% compounded semi-annu...
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Q: Solve for the following problems: There are 5,500 men, women and children altogether at the swimming...
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Q: Solve the differential equation below: (D-1)(D-2)(D-3)y=e^x
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Q: Identify the parent function and the transformation shown in the graph. Write an equation for the fu...
A: Given : A graph that has following coordinates (x, y) --> (0, 2) , (4, 0), etc When x= 0,y=2 tha...
Q: Find the second derivative of the function. 1+20 (2-0) 20
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Q: se any method to determine whether the series converges or diverges. (k !)6 Σ (6k)! k=0 O The series...
A: Given query is to find series converges or diverges.
Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D
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Q: Topic: Integration by parts. Evaluate the integral. Given: ∫ x tan−1 x dx
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Q: What is its interval of convergence? (-1)7+12nx" Σ n2 +3 n=1
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Q: Find the Taylor polynomials of orders n = 0. 1, 2, 3. and 4 about r = 20 and then find the nth Taylo...
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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed tr...
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Q: Compute the derivative of the function y using derivative rules. y = (9x + 5)' (Express numbers in e...
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Q: How many eggs do you need? b. If you use all the butter and get enough eggs, how many dozens of cook...
A: For 2 cups of butter we need = 3 eggs For 1 cup of butter = 3/2 egg For 1.33 cups of butter= (3/2)...
Q: Consider the sequences Which of these statements is correct? 8. A. The sequence converges to 0 O B. ...
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Q: 1I. Create a table of values for the function and use the result o estimate the limit. You are allow...
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Q: 12) cos? 0 = 1 %3D
A: For given trigonometric function we have to find out values of ( x ) such that C...
Q: If a <b_<c_ If lim a =L and lim c,=L+7 then which of these is TRUE? n- 00 O A By squeeze theorem, (b...
A: The correct option is,
Q: Use the graph below to answer the following questions lim f(x) = lim f(x) = x→1* x→4* -4 lim f(x) = ...
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Use the given
Given: ∫ 1/√6x - x2 dx
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- Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)1. Find the volume generated by revolving about the line y = 0 the area under the arch of the sine curve y = sin x from x = 0 to x = π 2. Find the volume of the solid generated by revolving about y =1 the area bounded by the curve y = e^x , OX and the lines x = –1 and x = 0. 3. Find the volume of the solids of revolution generated when the region bounded by the curve y = x^2 , the x – axis and the lines x = 1 and x = 2 is revolved about the x – axis.Consider the function f(x) = cos(2x) for -2pi < x ≤ 2pi and zero otherwise.A) Show that it meets the condition of having a Fourier transform.B) Find it's Fourier transform F(k).C) Demonstrate that F(0) = area under the curve of f(x).
- Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = cos x cos y at the origin. Estimate the error in the approximation if | x| ≤ 0.1 and | y | ≤ 0.1.Limit _π/2 toπ/2 integral (1+cosx) dxStokesTheorem.Evaluate∫ F·dr,whereF=arctanx/yi+ln√x2+y2j+k and C is the boundary of the triangle with vertices (0, 0, 0), (1, 1, 1), and (0, 0, 2).
- Find the linearization of ƒ(x) = √(x + 1) + sin x at x = 0. How is it related to the individual linearizations of √(x + 1) and sin x at x = 0?A rectangle is to be inscribed under the arch of the curve y = 4 cos (0.5x) from x = -π to x = π. What are the dimensions of the rectangle with largest area, and what is the largest area?Green’s Theorem for line integrals Use either form of Green’sTheorem to evaluate the following line integral.