11. Find the area of the intersection of the circles r = 2 sin 0 and r = 2 cos 0.

Q: If h(x)=√ 7 + 6f(x), where f(1)= 7 and f (1)= 2, find h(1). h'(1) = x

A: Given function Where

Q: In the vertex form for the equation for a conic, when B=0, there will be no rotation of the conic…

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Q: 2 6. For the function(x) = 2x² approximate the slope of the tangent line at (1,2)

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Q: Find the indicated partial derivatives of: at the point (x, y) = (2, 4). of (2,4)= ?x af dy (2, 4) =…

A: The given function is

Q: If a = [3, 4] and b = [-4, 3], find the angle between the vectors. O A) A) 164°

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Q: the present value of the amo continuously. in the future and invested at interest rate R-3%, comp

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Q: Evaluate the integral using the following values. 8 8 [²x-360. [xx-24. [dx-s = 4 x³ dx = 960, dx dx…

A: given the values of integrals

Q: A population of insects increases at a rate of 200+ 12t+ 0.9t² insects per day. Find the insect…

A: Let P(t) be the instantaneous population.Then, dP(t) / dt = 200 + 12t + 0.9t2

Q: For all å such that {x} + ½ = 1, is it necessarily true that {x} + 1 = 1 for all nonnegative n? Here…

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Q: Classify the following conic section from its standard equation: x²-xy-4y²-x-y+4= 0 O Circle O…

A: To classify the conic section from its standard equation:

Q: Use the graph off to complete parts (a) through (1). If a limit does not exist, explain why. 8- Ау…

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Q: The position function of an object is given by s(t)=³-102, where time, t, is in seconds and…

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Q: JS Use the Divergence Theorem to calculate the surface integral F ds; that is, calculate the flux of…

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid…

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Q: Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and…

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Q: d²y 4. 9 +30. + 25y = 0; when x = 0, y =0 and = 2 dy dx dy dx² dx

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Q: Plant fertilizers are categorized by the percentage of nitrogen (N), phosphorous (P), and potassium…

A: We can solve the given problem by using the concept of ratios.

Q: Using the Law of Sines to solve the all possible triangles if ZA = 106°, a = 31, b = 16. If no…

A: We have given,  Angle A = 106°      side  a = 31      side b = 16

Q: Find the average of the function over the given interval. f(x) = x3 − x over [0, 1]

A: The given function is

Q: 39. The following table gives the approximate increase in sea level in inches over 20 years starting…

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Q: Calculate the velocity and acceleration vectors and the speed of r(t) = ( 82², 8+2²) at the time t =…

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Q: Suppose that f(x, y) = y√√√x³ + 1 on the domain D = {(x, y) |0 ≤y ≤x≤1}. D + Then the double…

A: We have to evaluate the double integral.

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Let a function f( x ) If then function is increasing If then function is decreasing

Q: Find the Maclaurin Series for the following function: sin (3x) = = g(x) = sin(3x)

A: The given function

Q: At x = -3 f(x) = ²² +2x-3 2x+6 x A) limit of the function exists as x apporaches -3 B) function is…

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Q: All solutions to be written in appropriate details. Please submit your solution to Crowamark.…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. 7²…

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Q: Use the given transformation to evaluate the given integral, where R is the region bounded by the…

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Q: Use Stokes' Theorem to evaluate F dr where C is oriented counterclockwise as viewed from above- Jc…

A: The solution is shown in step-2

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: Here the sales function iswhere y is in thousand of units sold and p is the price (in dollars) per…

Q: The polynomial P(x) of degree 4 has • a root of multiplicity 2 at x = 4 • a root of multiplicity 1…

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Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

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Q: Drive the equation twice f(1) = 0.65- 0.75 1+1 ² 0.651 tanţ

A: Solution is given below:

Q: Figure Q5 shows a spring-mass system composed of three masses suspended vertically by a series of…

A: The displacements of the masses are expressed as

Q: The perimeter of a triangle is 52 in. The shortest side is 7 in. less than the longest side. The…

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Q: Figure out the area of the part of the surface 2y + 4z - x^2 = 6 that lies above a triangle with the…

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Q: Let f(x, y) = = 160 - 2x² - 4y² For which value(s) of y is f(-3, y) = 7? y =

A: Given function

Q: A sawmill cuts boards for a lumber supplier. When saws A, B, and C all work for 4 hr, they cut 4400…

A: (1) A, B, and C cut the 4400 ft lumber in 4hr.(2) A and B cut the same lumber in 8.8 hr.(3) B and C…

Q: Water flows into an empty reservoir at a rate of 3800 + 25t gal/hour. What is the quantity of water…

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Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1),…

A: Given Force field Now,

Q: Eloise needs to finish a 516-page report on international trade so she can present it at the big…

A:

Q: The given point is on the curve. Find the lines that are a. tangent and b. normal to the curve at…

A: The given point is on the curve. To find the lines that are (a) tangent, and (b) normal to the curve…

Q: dy = dx e²x−y, given y = 0 when x = 0

A: Given

Q: Find the coordinates (x, y) for the given point (x, y), and the angle of rotation 8: (x, y) = (1,…

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Q: We have y(t) = 8 x 107 1 + 3e-0.87t Rounding to two decimal places, we have the following. y(1) = x…

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Q: 9. Be sure to show and explain all steps. Determine lim X→C 2f(x) - 3h(x) (g(x))+ (h(x))² lim_f(x)…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by given…

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Q: If 3 ["* f(2)dx = [*, f(2)dx + ſ,” f(x)dx - [*ª* f(x)dx, -7 2 -7 what are the bounds of integration…

A: If , then to find the bounds of integration for the first integral.

Q: A car rental company charges 50 dollars per day, 15 cents per kilometre driven, and a 30 dollar…

A: Given query is to calculate the cost function.

Q: Evaluate this integral dx (x+1)(x²+1)

A: The given definite integral is