A photographer points a camera at a window in a nearby building forming an angle of 42 degrees with the camera platform. If the camera is 52 m from the building, how high above the platform is the window, to the nearest hundredth of a meter?

Q: ક Find the equation of the line tangent to the graph of f(x) = -4 cos (x) at x = = 2.

A: f(x)=−4cos⁡(x) at x=π2

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A: the graph of f(x)

Q: 31. S X 3 √x +4 dx

A: (81)I=∫xx+43dxSubstitute x+4=u3

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A: Given that let R be the region in the first quadrant bounded by the lines  and  and the hyperbolas

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A: The Ratio TestFor the Ratio Test, we consider the limit:L=limn→∞|an+1an|Where an is the nth term of…

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Q: Let F(x) = * sin(7t²) dt. " Find the MacLaurin polynomial of degree 7 for F(x). Use this polynomial…

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Q: When calculing the inverse Laplace transform of the function F(s)=6/s^5 is obtained as a result: A-…

A: To find the inverse Laplace transform of the following function.

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A: To sketch the region enclosed by the given curves. To decide whetherto integrate with respect to .…

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Q: 2- -2- -3 12 B + 45 6 + 7 + 8 9 10 t

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Q: Evaluate the indefinite integral above. /-x+11dx

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

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Q: A person invests 4500 dollars in a bank. The bank pays 5.25% interest compounded monthly. To the…

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Q: 12) Consider the following. (If an answer does not exist, enter DNE.) f(x)=2x³-9x² - 24x a) Find the…

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Q: Question Given the graph of the function f (x) below, estimate the slope of the tangent line to the…

A: The equation of line passes through points  is

Q: Find af ax af ду af az af af af "7 ах ду ду = af 11 -(0, -1, 1) = and Find their values at (0, -1,…

A: The Power Rule:The Chain Rule:

Q: Use implicit differentiation to find dy/dx. 8. x³ – xy + y³ = 1 -

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 16. If x³ + y³ = 16, find the value of d²y/dx² at the point (2,2).

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Q: The amount of income tax, t, an individual owes is defined by piecewise function () and is based on…

A: The amount of income tax, t, an additional owes is defined by piecewise function t(i) and is based…

Q: (No Technology) Region R is bounded by y=√x, y = 1 and the y-axis. Region S is bounded by y=√√x, x =…

A: We have to use the concept of integration

Q: Apply the alternating series test to discuss convergence or divergence of the given series. Σ(−1)n+1…

A: 0\\ &2. a_{n+1} \leq a_n, \text{ for all n}\\ &3. \lim _{n \rightarrow \infty} a_n=0\\…

Q: An engineer deposits $900 each month into a retirement account. After 30 years, the balance in the…

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Q: Find the absolute extrema and where they occur for f(x) = -11x² + 5x +6 on [-3,5]. Give exact…

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Q: 6) Differentiate: a) f(x)= 5x-3 +1)

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Q: You are given that cos(A)=−3/5, with A in Quadrant III, and cos(B)=33/65, with B in Quadrant I. Find…

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A: The supply equation is The demand equation is

Q: Find nd |(+ (x + 5)(x – 7)dr

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Q: The price-demand equation for a particular flashlight is given by p = 111-0.004x, where x is the…

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 400, what is the…

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Q: 1. The function shown in the graph satisfies lim f(x)=9, determine the appropriate values of X-6…

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Q: Please show all work

A: The objective of this problem is to evaluate the surface integral of the given vector field F across…

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Q: Use the alternative curvature formula k = following parameterized curve. r(t) = (4 + 2t²,2t,0) K=…

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Q: We have 36 ft2 of material to build a box of maximum volume with a square base and no top. What is…

A: Let side of base square = x ftLet height of box = h ftThe figure of box

Q: Evaluate the integral. S sin (22x) cos (13x)dx sin (22x) cos (13x)dx=

A: To evaluate the following integral.

Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (7x²) to…

A: The given integral is Sin(7x2), limit from 0 to 0.76.