Simplify. sin x csc x + sin x csc x O sin² x + 1 O 1 O csc x O2

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: We have to find the vector in given question.

Q: (a) Find the values of: g(2) g'(2) = (b) Is g"(2) positive, negative, or zero? ---Select--- (c)…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.f(p) is average number of daily downloads as a function of…

Q: In the figure below, set-up the integral expression when the area bound by the functions y = the x =…

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Q: Find the differential of the function. y = √5 + cos(0)

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: Consider the function in the graph to the right. The function has a maximum of at x = The function…

A: The function has a maximum of -1 at x = -3, meaning that the function reaches its highest value at x…

Q: Given the series ∞ 5″ Σ n=1 n an+1 an (Express numbers in exact form. Use symbolic notation and…

A: given  ∑n=1∞5nnthere for  an=5nn

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Q: Given the point (2,1) on a tangent line to the curve f(x)=x2−2x+5 find the point(s) where the…

A: Given :fx=x2-2x+5

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A: The region bounded by the curve y=costsint between t=0 and t=π2. We have to find the area of the…

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(0, -3,…

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Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

A: The answer is in step 2.

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

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Q: Simplify tanh(ln(6x))

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Q: 2 1) Fird dy using implicit differentiation X² + y ²³ = 7xy 2) Find the ein of the normal line to…

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Q: Use matrices to solve the system. 5x + 2y = 13 -6x6y=-18 Enter your solution as an ordered pair…

A: 5x+2y=13...................(1)-6x-6y=-18-6(x+y)=-18x+y=3.................(2)according to matrix…

Q: Find + 12 10 .12 [9f(x) = g(x)]dx if [9f(x) = g(x)]dx = i 12 [2² 10 f(x)dx = 9 and 12 10 g(x)dx = 8.

A: integration

Q: Consider the function f(x) = −2x² + 4x - 11. f(x) is increasing on the interval (-∞, A] and…

A: Topic= Application of derivative

Q: Find the equation of the tangent plane to the surface In(x³ + y³ + z³) = x²z+1 at the point (1, 1,…

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Q: 9. Determine the equation in the form 1 f(x) = kx for the function with a vertical C asymptote at x…

A: To determine the equation in the form fx=1kx-c  for the function with a vertical asymptote at x=-1…

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 7…

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Q: Use the following piecewise defined function to answer the questions. from the definition.) = {x₁ [x…

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Q: Angle x is a third quadrant angle such that cos x = What is the exact value of cos (2)? Enter your…

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Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to ƒ…

A: f(x)=6lnx-10on [1,16]

Q: Let S be the paraboloid y = x^2 + z^2. Find a parametric representation for S and its tangent plane…

A: The given data is: Let S be the paraboloid y=x2+z2 Find a parametric representation for S and its…

Q: Simplify. Y -2x -1 yx ° -2yx 6x² - 5x [6²² 8yx 6x² - 5x [62³% 2yx 6x² - 5x 162² [152² 2yx 15x²–5x…

A: It's simply a matrix multiplication. Use the raw into column multiplication of matrices.

Q: Consider the initial value problem given below. dx =2+tsin (tx), x(0) = 0 dt Ise the improved…

A: To use the improved Euler's method, we need to first define the step size h. Let's choose h = 0.1,…

Q: not all questions are answered, and are incorrect

A: According to me all questions' answered are correct

Q: Calculate the value of triple integral f (yz)4dV, where R is bounded by the paraboloid x = 1- y²z²…

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Q: Find all the real zeros of the polynomial P(x)=x²-x³-3x²+x+2 List the real zeros below. If there is…

A: Solution: Given Polynomial, P(x)=x⁴ -x³ -3x² +x+2

Q: Using the Inverse Function Theorem, what is (h−1)′(5) given that h(x)=−2x+14/−x−5? Note that…

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Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

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Q: 2) Find the derivative of the function f(x) = *³-2x x²

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Q: Let L₁ be the line passing through the point P₁=(5, −1, −14) with direction vector №₁=[0, −1, −2]¹,…

A: Given:L1 : Line 1 passes through P15,-1,-14 and with direction vector d1→ = 0,-1,-2L2 : Line 2…

Q: Question 5 Find the volume of the body enclosed by a sphere x² + y² + z² = 4 and a cylinder x² + y²…

A: Find the volume?

Q: A2. Find the third order de a. F(x) = 3x³ - 5x + 1 Y=3t+2et b. c. Find the Inverse F

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Q: the following set of ordered pairs is a function and is one-to-one. ((0, 0), (1, 1), (2, 8), (3,…

A: To determine whether the given set of ordered pairs is a function or not.

Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2³-2x³ - 3y - 1) 1 b.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let an = an lim = n→∞ bn O Calculate the limit. (Give an exact answer. Use symbolic notation and…

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Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: Solution: 1. The temperature of a metal ingot placed in the furnace and then removed.

Q: Consider the function f(x) = 4x² - 4x4.

A: Given, f(x)=4x2-4x4

Q: 18. fcot'0 sin¹0 de 20. f cos³x sin 2x dx 22. ² sec (1/2) di

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the indefinite integral dx (3+5r)2 dx

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Q: Find dy/dx in terms of x and y if cos2(7y)+sin2(7y)= y +9

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Q: For the function graphed in the figure, are the following nonzero quantities positive or negative? 2…

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Q: Find the volume under the graph of the function f(x, y) = 10x²y over the region shown in the figure…

A: Consider the region

Q: O O ○ 38 3 Use the Trapezoidal Rule with n = 4 steps to estimate the in 1 20 8 02 (x2+6) dx 클

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