Evaluate the trigonometric function below from 0 = 2 up to 0 = 3. [((2) (cot² 0) – (3)(tan² 0))de - The associated angles are in radians.

Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ....... O…

A: Here you have posted multiple question, So as per the policy I can answer only first question for…

Q: H.W: Evaluate the integral 1 1 +][20 1. 0 y x²exy dxdy

A:

Q: Find the definite integral of the items below from a=0 and b =1: Show your solution thanks!!

A: Solve the following

Q: rchasing Enormous State University's Business School is buying computers. The school has two models…

A:

Q: 04: (chose one only) (3-x x2 a) Find lim, 2+ f(x), lim,-2-f(x) andf (2). b) Dose lim, 2 f(x) exist,…

A: 1. According to question,Given function,fx = 3-xx<22x=2x2x>2

Q: Express the given quantity in the form a + ib. sinh 8 + )

A:

Q: 2. f3dx 3. f*²4 dx

A:

Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral

Q: Find dy if y=t² & t = √h and h = x² dx

A: Given :y=t2t=hh=x2

Q: O Ο Ο αγχ? + 9ax τ enla

A:

Q: 2. Use reduction formula to evaluate the integral: fsins x dx.

A: Reduction formula

Q: What is the area of AABC given a = 12 inches, b = 24 inches, and m2C = 28³? O 83.125 in.² O93.156…

A:

Q: Use INTEGRATION BY PARTS to solve this integral. Specify all variables. Box the answer. 10 x³…

A:

Q: Use the compound-interest formula to find the account balance A, where P is principal, r is interest…

A:

Q: 3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A:

Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

A:

Q: Graph the function f(x) = −2log (x+5) -8 on the axes below. You must plot the asymptote and any two…

A:

Q: If f(x) is continuous in the interval [-2, 1], ƒ(−2) = −4, and f(1) = -1, can we use the…

A:

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: Question 12 Which of the following sections cannot be obtained from a cone? Select one: O A.…

A: if we cut the cone horizontally we get circle

Q: Use partial fraction decomposition technique to evaluate the integral: x² S dx. (x+1)3

A:

Q: An employee at a garden center fills a water tank once a day around noon to a height of 20 inches.…

A: Given: M(x)=5x3           T(x) =5x-103   where x in seconds

Q: dy Find for y = dx dy dx 1 13

A: The required derivative is given below

Q: Assume that z = f(w), w = g(x,y), x=4r³-s², and y = re. If g (4,1)=-4, g,(4,1)=2, f'(7)= -2, and…

A:

Q: Evaluate the function & (x) = x+8 for the given values of x. Write exact answers in simplified form.…

A: Given that, k(x) = √(x+8) Find values, k(-8), k(7), k(8), k(-10), k(6).

Q: 1. Evaluate the following integrals: dx -x² + 4x - 3 f) . dx (x - 2)√x² - 4x +3 S

A:

Q: Question 2.4. Find all cube roots of -1 in the complex plane. 2e ₂ (i) Ⓒ (i) -1 1 e (5₁)

A:

Q: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

Q: Simplify the expression from the previous step by canceling the common factors. sin ²0+ The…

A:

Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

A:

Q: Establish the identity. sec ² (-0)-1 = tan ²0 Which of the following four statements establishes the…

A: See the answer below

Q: - e4 7. lim. x-2x² - 2x ex2

A: We have to find out limit

Q: Given the following functions, evaluate each of the following: f(x) = x² + 7x + 10 g(x) = x + 2 (ƒ +…

A: Put value in function

Q: Core Laplace Which of the following represents the Laplace transform L[g] (s) So g(t)e="tdt…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ 12x + 3y + 12.

A: Given :- z=x3 -y3 -12x+3y+12 Find:- Maximum, minimum and saddle point of the given surface

Q: maker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long,…

A: This question is based on law of cosines.

Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -7 In(z) = n = 0, ±1, ±2,…

A: This question is related to complex functions, we will solve it using given information.

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: The​ half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the…

A:

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 1 the polor integral…

A:

Q: Q2/ Reversing the order of integration ſª ſªxsinydydx.

A:

Q: 2x (x-a)² dx; a is constant

A:

Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout .water weight is…

Q: 39. The curve has an equation of x² + y2 = 25. The area on the first quadrant of the curve is…

A: Given curve x^2+y^2=25.

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: 8. ²2(2x + 1) dx

A:

Q: Find the general solution of the following equations: a.(d^3y/dx^3)−2(?^2y/dx^2)−3(dy/dx)=0…

A: We need to solve D.E.

Q: = 2 and The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x…

A:

Q: 1. 3- 2x 2+4x² dx

A: According to the guidelines in case of multiple questions, we are only allowed to solve first…