1. Write the x and y coordinates of any point on the unit circle in terms of the angle corresponding to that point (remember how you used the unit circle to calculate Ꮎ the values of trigonometric functions in Precalculus).

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: (a) State a necessary condition for a vector field to be a gradient. (b) Determine if the vector…

A: (a)

Q: Question a)' b)'. : Evaluate the integral J ,: Show all your work. 3x-1 (x + 4)(2x - 1) . Evaluate…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

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Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:

A: Given problem:- fx,y=3xy2+4x2+y2-16  To find:- Domain of f(x,y)

Q: Find the outward flux of the field F = 2xyi + 8yzj + 6xzk across the surface of the cube cut from…

A:

Q: of the following answer choices represents the limit definition of the definite inte n sum? he…

A: We are asked to find the which of the following is limit of definition of definite integral below…

Q: sin a Given: f(x) 2x ' k, { if x #0 if x = 0 What should be the value of k so that f is continuous…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: 3. Evaluate tan¹x² 1+xº dx

A: dtan-1(x)dx=11+x2

Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?

A: We are asked to find the intersection point.

Q: = The x-coordinate of the point of inflection on the graph of y 5 0 10 3 - 3+5 +2

A:

Q: Considering the integral below. Rewrite this same integral, reversing the order of integration. What…

A: Follow the procedure given below.

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A:

Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Let R be the region bounded by y = 4 – x², the x axis and the y axis. 3 2 1 = The solid obtained by…

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Q: (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of…

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Q: Find the total area of the shaded region. Ay 24- 22 20 18 16 14 12 10 8 Q C The total area of the…

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Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

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Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = = sin(x) f(x) = to dt

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

Q: Find of 3-(-1)" the Set of sequential limits

A: Given;  3-(-1)n.

Q: Question 44 Which of the following sets of numbers corresponds to the set of all critical numbers of…

A: Solve the following

Q: Question 38 dy Given that y = (1 + tan(2x))^, then dx 8(1 + tan(2x))³ sec² (2x) O4(1 + tan(2x))³…

A:

Q: -10 -9 8 -6 -5 -4 -3 -2 5 3- 2 1 -1 0 -1 -2 -3 + -4 -5 1 2 3 6 4 20

A: We have to find the value of the given definite integral according to the given information

Q: A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is…

A:

Q: x = 9 tan 0 is an appropriate trigonometric substitution for the integral Select one: O True O False…

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Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: Question 2 What is the value of lim x-0 O-6 o too 00 x² x +9-3 ?

A: We need to find here limit of our function. We can find value of limit by first rationalizing the…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: 5. fycsc²ycoty dy

A: 5) Given, ∫ycosec2(y)cot(y)dy

Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A:

Q: (ii) Calculate the iterated integral by first reversing the order of integration. S. St yer² 0 Vy x3…

A: Given double integration ∫01∫y1 y ex2x3  dx dy

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: If f(x) = x¹ +4, g(x) = x − 2, h(x) = √√√x, then fogoh(x)=

A: This question is based on function.

Q: A ABCD is the parallelogram shown above. a) AC = BC + CD C Express AC in terms of any other vectors.…

A: We have to find out the diagonal

Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(i)

Q: Find dx dx 0.4 0.4 -3.3x-4+5x -4 -3.3x 5x ...

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Q: Evaluate the following integral: sin²(a) da

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Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

A:

Q: For the two 3 x 3 matrices A and B with det(A) = -3 and det(B) = 2, Select one: O True O False det…

A: Given :mx+3y-z=m    2x+z=1              -2x-3y+mz=0  detA=-3detB=2

Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following…

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Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A: we have to check sequence is convergent or divergent.

Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: - [5√3x d dx

A:

Q: en f(x) = (4x + 1)² ' g the chain rule? what is the first step to find f'(x) Find the derivative of…

A: We have to find out derivative using chain rule

Q: au limit does not exis 10 hauria natura UnaUna Un aUna -6 aUrauna -10 b) c) hauaOnaUnaUnaUnaUnaUn…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…