Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant number. (Use decimal notation.) 4 cot(x) csc2(x)

Q: tan 0 =-1, 0 in QIV

A:

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: Completely factor the given polynomial 81-y⁴

A:

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

A:

Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

A:

Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

A: Given problem:-

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: 2x3 + 1 x3

A:

Q: Find the radius and interval of convergence, R, of the series. E-1 n!

A: Answer is in below step.

Q: 144y + 864y - 25a? - 50x = 2329 %3D

A:

Q: - Determine whether L'Hospital's Rule applies to the limit below, then evaluate the limit 3r3 – 2x…

A:

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

A:

Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

A: I am attaching image so that you understand each and every step.

Q: the position function, in meteres, of a particle that moves along a straight line is…

A:

Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

A:

Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

A:

Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

A:

Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

A:

Q: 2. (6x-2) dy d2

A: Given query is to find the value of the integral.

Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

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

Q: Determine whether L'Hospital's Rule applies to the limit below, then evaluate the limit 33 – 2x +5…

A: Given query is to find the limit.

Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

A:

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A:

Q: Find the particular solution y = f(x) that satisfies the given differential equation and initial…

A:

Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

A:

Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

A:

Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

A:

Q: p(x) = sin x cOs x Select the correct response. Otan x O cos? r - sin? r COS sin? x – cos? x 1

A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: Find an equation of the plane. The plane through the point (2, -8, -1) and parallel to the plane 7x…

A:

Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A: We have to find the second solution of the differential equation.

Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: The space within a one mile racetrack consists of a rectangle with a semicircle at each end. To make…

A:

Q: sin x – e-* = 0, [0,1]

A: Secant method is used to approximate root of a function through an algorithm. It uses the concept of…

Q: (Drag and drop the missing words) In the integral dx Va? we may use x= and dx= substitutions to…

A: We have to evaluate the integrals using substution method.

Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

A:

Q: The volume V of a right circular cone of radius r and height h is given by V =r?h. %3D (a) Find a…

A: Given the volume V of a right circular cone of radius r and height h is V=13πr2h.

Q: u(x) = (tan? x – a²)³ - Select the correct response. 3(2 sec? x tan a- 2x)(tan? r- a²)² o 3(tan? r –…

A: Given that       u(x) = (tan2x - x2)3

Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

A:

Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

A:

Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

A:

Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

A: