Q: 11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x
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Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power fun...
A: S(A)=0.882A0.842S'(A)=0.882×0.842×A0.842-1 S'(A) =0.743A-0.158
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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...
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A: We will find the value of k in the following step.
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Q: dr 2 +r² dt, 2 L = dz' (dt. dt, x = rcos(0) y = rsen(0).
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Q: Calculate the limit. lim n→0 /n2 + 15 (Give an exact answer. Use symbolic notation and fractions whe...
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Q: (-1)**l а, Ans. Converges, 0 7) 2n –1 2n 8) an Ans. Converges, v2 n+1
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Q: Find (f -g)(x). f(x) =x² +3, g(x)= V5-x
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Q: 0o COS 17. Determine whether 2 converges or diverges. Evaluate it if is convergent. dx 18. Determine...
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Q: 3. Show that the Maclaurin series for f(x) = (1+x)*, where k is any real number, is (1+ x)* = E k(k ...
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Q: 19. Give the midpoint approximation of xdx with n = 2.
A: Here, to approximate the given integral ∫04x3dx using midpoint approximation with n=2. Let, f(x)=x3...
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A: Follow next step
Q: Find f'(x) for the following function. Then find f'(6), f'(0), and f'(- 7). f(x) = - 4x + 5x
A: Given, fx=-4x2+5xTo find : f'x , f'6 , f'0 , f'-7
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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 Pa(x) =
A: see below the answer
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A: graph of the function is -
Q: Solve for the Differential Equation m 1. y= -- 7 2. y = Ce-2* + Cze* + 1 3. Ae* + Be-* = Iny
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Q: Solve the differential equation with approphate method. Express final answer in its simplest form. *...
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Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...
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Q: Let f(x) = 7x2(x – 11) + 12. Find the critical points c that correspond to local minima.
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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the functio f(x) =...
A: Taylor series of a function f(x) about c=0 is given by, f(x)= ∑n=0∞fn(0)xnn!
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Q: Phillip contributed $1,800 at the end of every 3 months, for 5 years, into a Registered Retirement S...
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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...
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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...
A: We need to find the Taylor series of f(x) centered at c : f(x)=e8x and c=0
Q: Solve. 8. 2 бу - 4 %D y +4 y2 - 16 y Select the correct choice below and, if necessary, fill in the ...
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Q: While buying a new car, Jordan made a down payment of $1,100 and agreed to make month-end payments o...
A: down payment = $1100 duration of loan = 5 year 9 month = 69 month interest rate annually = 1% so se...
Q: d [u (v X w)] = dw. lu • (v X w)] = [v X w]+ u• xw] [v X w] +u * + u * [v X dt dt dt Idt
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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...
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Q: Can you help me with this?
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Q: Calculate the iterated integral 5-x dx dy 2 х —1 and draw the region over which we are integrating.
A: To evaluate: ∫23dx∫x-15-x1ydy
Q: se the Monotone Convergence Theorem to show that the sequence {an} converges, where An = 1 n! r each...
A: Monotone convergence theorem says that if an is bounded and monotonic then it is convergent.
Q: Answer this question by showing all work and formulas used to solve: Differentiate and simplify. x²+...
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A: Since we know that the graph of an odd function is symmetric about origin. i.e if the graph has a po...
Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...
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Q: Solve. Vx-9 + /x+6 = 5 Select the correct choice below and, if necessary, fill in the answer box t
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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x %3D f(x) = 1 +x...
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Q: Calculate the amount of money Kayla had to deposit in an investment fund growing at an interest rate...
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Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False
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Q: Find the derivative of the curve f(x) = 3x² - 6x + 1. Use the result to find the slope of the tangen...
A: Follow the procedure given below.
Q: Example 5 Video Example 4O A man walks along a straight path at a speed of 5 ft/s. A searchlight is ...
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Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...
A: The given differential equation is;. t2s"+ts'=4-3sint.
Q: Find (f - g)(x). f(x)= 2x- 2, g(x) = 4-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: (11) Which of the following functions f: Z x Z Z is injective (A) f(1,y) = 1/y (B) f(x,y) = x+y (C) ...
A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...
Q: For the function , f(x) = 1 - 1 / (x + 2)² , find the following: i) f(-x) ii) f(x + k)
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Q: Your RRSP savings of $50,000 are converted to a RRIF at 4.95% compounded monthly that pays $5,220 at...
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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...
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