What is the limit of (Cos(x)-1)/x^2 as x approaches 0?

Q: The function f determine the cost of a new Honda accord in term of the number of years T since 2000.…

A: The function f determine the cost of a new Honda accord in term of the number of years T since 2000.…

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Q: Approximate the area under the graph of f(x) = 0.05x -3.24x+87 over the interval [3,11] by dividing…

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Q: If xy + y² = 1 find the value of dy / dx² at the point (0-1)

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Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find total profit

Q: Find the general Solution For D-E y + y tanx = [cos²x]y'

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Q: The population of the world¹ t years after 2010 is predicted to be P = Round your answers to one…

A: To find the population in 2026 and the average population between 2010 and 2026.

Q: Problem 2: Given the function below, please find the maxima, minima, and the intervals where the…

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Q: Use Stokes' Theorem to evaluate f F · dR, where F = yi + zj + xk where c is the triangle given by…

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Q: Write the following limit as a definite integral: limn→∞ ½ / Σ²-1 ( ²1 )º n j=1 of th x6 dx f²x5 dx…

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Q: A rectangle has its base on the x−axis and its upper vertices on the parabola y = 9−x^2. Find the…

A: Given that a rectangle has its base on the x−axis and its upper vertices on the parabola To…

Q: Jessica works 30 hours per week between two part time jobs. When she works as a waitress, she…

A: total work per week = 30 hours jessica works as a math tutor, she receives $17.5 per hour. jessica…

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Q: Read the scenario carefully to answer the following questions. Ryan Mountain (5,456 ft) is a popular…

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Q: F₁ = (e + sin(y), xe" - 2y)

A: We have to check whether the given vector field is conservative.

Q: Solve the following integration :- 3 S sin³x Sin³x cośx dx

A: The given integration is

Q: 10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = 1 1 AB and BA. (…

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Q: If f(x)= cos(sinx), find f'(1). 0.2314 1 0 -0.4029

A: The given function is

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Select the answer which lists the sizes of the following matrices in order. 2 3 654 12 2 [1 2 3 4 5]…

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Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

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Q: Compute the surface area of the cap of the sphere x2+y2+z2=49 with 6 ≤ z ≤ 7.

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Q: Find the general Solution For D-E cosy dx + (x Siny - 1) dy =o

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Q: Evaluate the integral: · √2 9 1 + x² -dx

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Q: Given that f(x)=4x-16 where f(x)=y define a function rule for f^-1. which of the following are…

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Q: Let z = 9.8 - 5i. Write z in the form a + b*i: Z = 9.8+5*i Let u = 5 - 2i and v= - 8 + 6i. Write u +…

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and for the…

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Q: Set up the triple integral in cylindrical coordinates needed to compute the volume of the region…

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Q: Solve Cauchy problem for the non-homogeneous equation: 4 y" +4y' + 3y = 3x, y(0) = − ½, y'(0) = ²

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Q: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.   Part A At what rate…

A: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.Part A:To find the…

Q: 15 Find sin 2x, cos 2x, and tan 2x if tanx = 8 sin 2x = cos2x - 0 tan 2x 0 - 8 X and x terminates in…

A: tan x = 15/8x in first quadrant Find sim 2x , cos 2x , tan 2x

Q: Determine whether I 5Mm Converges or diverges. If 6 7m m=2 Converges, find its sum

A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1<r<1∑n=1∞a⋅rn−1=a1−r

Q: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2   a/…

A: Use the following function to answer this question ; f(x)=sqrtx+7, g(x)=2x+4, h(x)=x/2

Q: Find the general Solution For D-E tan² (x+y) dy

A: The given differential equation

Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

Q: 8 7 5 3 2 1 0 1 2 3 (a) The integral f's f (x) dx -f(x)- 4 5 f (x) dx. Round your answer to the…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Find the general Solution For D-E dy = xỷ - cosx sinx dx y (1-x²)

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Q: x^2) on [0, 1]. A) Find k such that f(x) is a probability density function. B) Find the expected…

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Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

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Q: Find the Maclaurin series of e 00 1 0

A: The given function

Q: Find the general Solution of: 2² dy dx = x² x e

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Q: Write (but do not calculate) the integral that gives the volume of the solid bounded above by the…

A: We need to find out the integral that gives volume of the solid bounded above by the surface and…

Q: Find the two solutions of the given equation z² + 6z+ 10 = 0. / in your answers should be positive Z…

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Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: An angler hooks a trout and reels in his line at 5 in./s. Assume the tip of the fishing rod is 11 ft…

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Q: Question 7 Use first (a) (b) principles to find the derivative of f(x) = x² + x f(x) = -√√x

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