1 cot³ x dx =

Q: Express the given quantity in terms of −sin x or cos x. sin(3ℼ/2 - x)

A: The given trigonometric function is f(x)=sin3π2-x

Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

A:

Q: 3. [√1+√zdz

A: Given:             ∫1+zdz  Apply u-substitution             u=z+1→dudz=12zdz=2zdu       =2∫u23-udu…

Q: What is the equation of the graph below? -4x + 8y = 1 2x + y = 8 4x - 8y = 1 -2x + y = 8 4x + 8y…

A:

Q: What is the equation of a line with slope of 2 and a y-intercept of -6? y = -6x + 2 y = 2x - 6 2x…

A: Concept: The equation of a line is found using the slope-intercept form of a straight line. We need…

Q: Given f(x)=√x + 2 and g(x)= x³, find ()(x) and write the domain of (x) in in interval notation.

A:

Q: Given f(x) X-4 O[-4, 12) u (12,⁰0) 01-4,00) and gxx)=√x+4, what is the domain of f(g(x))? 0 (-∞0, 4)…

A: This question can be solved using the concept of domain of a function.

Q: Evaluate [F·dr if F(x, y)=(4e³)ī +(4xe³)j and the curve C' is line segments going from (0,0) to…

A: To evaluate ∫C F⇀·dr⇀ if F⇀x, y=4eyi⇀+4xeyj⇀ and the curve C is line segments from 0, 0 to 5, 4 to…

Q: Determine the slope of the tangent for: Y = ㅇ- O 0 을 -100 2+5 √ã at : (4, 을)

A:

Q: Show that the vector field given below is conservative and find its potential function. F(x, y) =…

A:

Q: the

A:

Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors x+8 7) 2+ 1²²…

A: 6) Given:       x+8x2+x-2=x+8x-1x+2 The partial fraction decomposition is:…

Q: Fill in The Unit Circle Positive: Negative: Positive: Negative: O O Positive: Negative: Positive:…

A: The unit circle is,

Q: Slope

A: We know that, A function, in mathematics, an expression, rule, or law that defines a relationship…

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: 3. Find the domain of f(x) = = 1 - 1- x X

A:

Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

A:

Q: 5.f 21 dv (v-1)(v+3)(v-4)

A: We can evaluate the given integral by using the partial fraction method.

Q: 4. S dy y³-2y²

A:

Q: What is the correct equation for the following scenario? Alex wants to figure out how much money…

A:

Q: Find all solutions in the interval [0,4π) Give solutions accurate to 5 decimal places. b)…

A: We need to solve for x.

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = 1 and y =…

A:

Q: 2. f sin √tdt

A: To evaluate the given integral.

Q: If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days,…

A:

Q: Evaluate the following limit: lim 2²-25 x→2 2-5 O Does not exist. 0-7 07

A:

Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹2) = 5 1. sin¹…

A: We can find the answer in the following steps.

Q: 2).  Suppose that  ∞ n = 0 an(x + 4)n  converges at  x = −5.  At which of the following points…

A: Given that, the series is ∑n=0∞anx+4n, the series converges at x=-5. Rewrite the∑n=0∞anx+4n as…

Q: Which of the following represents a linear equation that begins at 5 and increases by 8 at each…

A:

Q: 3. S (5x-12)dx x3-6x²+8x

A:

Q: Answer the following True or False: If p(x) and g(x) are polynomials such that p(4): O True O False…

A:

Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

A: Solution: F=<8xy,x2 -4y2 >; R : y= x(3-x) and y=0

Q: a) à-2b b) ||a+b|| c) ab a=,b=

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: Thank you! It's a little hard to read. If you don't mind, may you upload a picture?

A: Our Aim is to find two positive numbers satsisfying the following requirement given below:-The…

Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: This question can be solved using the concept of maxima and minima.

Q: 7. Differentiate w.r.t x- sin 5x cos 3x 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A:

Q: =) 2 -1 -4dx 9x² +30x+25

A: To evaluate the integral.

Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

Q: Find the volume of a solid obtained by rotating the region under the graph of the function x = √y…

A:

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A:

Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

A: To evaluate the given integral.∫10x35x2+112 dx

Q: Which pattern of numbers represents a linear equation? 2, 4, 8, 16, 32, 64 1, 3, 1, 3, 1, 3 3, 9,…

A:

Q: In marketing, the _____ represents the point where products neither make a profit nor incur a loss.…

A: Given question In marketing, the _____ represents the point where products neither make a profit nor…

Q: Find the breakeven point of the following functions: C(x) = 5x - 7 R(x) = 2x Approximately (2,…

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 +…

A:

Q: 2. S (x+1)dx x²(x-1)

A: We can find the answer in the following steps.

Q: below

A: We have to choose the correct option from the given options according to the given graph of line

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

A:

Q: 2. Sketch the solution region of 2x − y − 1 > 0 (x − 5)² + (y + 1)² ≤ 25.

A:

Q: The Maclaurin series of g(x)=sin (x) is ?

A: Maclaurin series is given by: