Which of the following is an even identity? O tan(8) = sin(e) cos(8) O sec(-8)= sec (0) O csc(-8)= -csc(8) O csc(8) = sec (7-8)

Q: Book Problem 25. Consider the series L = lim 82-700 n=1 Use the Ratio Test to decide whether the…

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Q: The vectors that make up the sum of two vector components are parallel to each other. O True O False

A: With the help of an example, we can prove or disprove the given statement.

Q: 2- What is the equation of the tangent line to the curve x² + y² : = 2xy when x = 1?

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Q: Find u x v, v x u, and v x v. u = 4i + 7k v = 6i + 9j - 5k. (a) ux v (b) (c) V x u V X V

A: We have given two vectors u and v and we want to find the cross product of the given vectors in…

Q: If v = 5i + j and w = -5i - j, then the projection of v onto w is: O 5i+j Oi + 5j O -5i-j O-i-5j

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Q: Find the equation of the tangent to the curve y = In (x² +2) at the point where x = 1. Answer in…

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Q: Find f+g, f-g, fg and f/g and the domain of each arithmetic combination: f(x) = x²; g(x) = √√x

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Find the centroid of the region that is bounded above by the surface z = √r, on the sides by the…

A: The solution is shown in step-2

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √ 4y³…

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Q: f(x)=x²-3x³ according to the Curve Sketching Analyze the key features of the graph of Algorithm and…

A: The function isFormulas used,

Q: A hot-air balloon is 160 ft above the ground when a motorcycle (traveling in a straight line on a…

A: We have to find the rate of change of the distance between the motorcycle and the balloon after 8…

Q: Write the system of linear equations in the form Ax = b. Then use Gaussian elimination to solve this…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. Derive an equation s(t) for the distance (position) of the car as a function of time (This…

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Q: True or false: If f has a local maximum or minimuh at x=c, then f'(c) = 0

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Q: Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve…

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Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

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Q: A rock is thrown in the air. The height is measured until it returns to the ground 9 seconds later.…

A: The height of the rock is measured by the function .We have to find,(a) The velocity of the rock…

Q: Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal…

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Q: Find the unit normal vector N to r(t) = (t, cos(t)) at t = = (Use symbolic notation and fractions…

A: To find the unit normal vector  to  at .

Q: Find the derivative of y with respect to x. (5x2 +1), dx y= sec || -1 x>0

A: The function is , x>0

Q: X The function f is defined by f(x) = +2 What points (x,y) on the graph of f have the property that…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a = B = BO…

A: We have to find remaining sides and angles for the given triangle

Q: 17. r(t) (te, 2 arctan 1, 2e¹), 1-0

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Q: d) y = In(arc cos x)

A: y = ln ( arc cos x )

Q: The population P (t) of a bacteria culture is given by P (t)=-1200+²+36,000 t+130,000, where t is…

A: P(t) = -1200 t2 + 36000t + 13000

Q: Determine whether the matrix is orthogonal. P = 2 I ~/3 2/3 ~/3 ا ~/31/32/3 ~/3 ~/3 N/M 2 1 12 2 3

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Q: Use the suitable product-to-sum formula to rewrite the following expression: cos (sin(*) O[sin(¹) -…

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Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 =…

A: Using one of the formulas, we can solve the question

Q: FIND THE POINT (S) ON THE GRAPH OF y = 4-x² CLOSES THE POINT (0,2). to

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Q: 42 - z + ^ − z^ - IՒ 05 lim

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Q: The function y e³x − 5x + 7 is a solution to which of the following differential equations? y" - 3y…

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Q: Question 7. Express lim [sin² (3+3)+2 (3+³)] / as a definite integral of a function nxi=1 from x=3…

A: The solution is shown in step-2

Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x3.…

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Q: Consider F and C below. F(x, y, z) = yzex² i + eײj + xye×z k, C: r(t) = (t² + 5)i + (t². (a) Find a…

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Q: Calculate the integral of fox L²x ( ₁ - - ) * x. 10 3

A: Given integral is .It is known that

Q: Ifv=i+2j and w = 3i+ 6j, then the projection of v onto w is: O 1i - 2j O i + 2j O O -3i - 6j 3i+ 6j

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Q: A force vector has a magnitude of 14 N and make an angle of 20° with the x-axis. What is the…

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Q: Question 1. A dentist office wants to purchase a cylindrical tank to store water in. Once the tank…

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Q: Evaluate the line integral Vp dr for the following function and oriented curve C (a) using a…

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Q: Problem 2. Find the area of the region bounded between he two by completing the following steps.…

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Q: what is the relative minimum and maximum of x+1/x^2, x=-2

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Q: Use a computer algebra system to find u xv and a unit vector orthogonal to u and v. (Round your…

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Q: What is the area of largest rectangle that can be inscribed in the region bounded by x=0, y =0, and…

A: The rectangle that can be inscribed in the region bounded by  and .We have to find the area of the…

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: = ln(x² + y²). Show that b.Let z = 8²z əx² dy² 0² + = = 0

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Q: Given the first and second derivatives of f(x)=x√2x +3, determine all the critical points, and…

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Q: Determine the solution to the following system of equations: (3) 1 HUNGA 11 ++ I 1-63-62-6 b b b ++…

A: First we eliminate z from this system of equations.

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A = B = C=…

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Q: -x Se ² dydx; -X

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