≤0 < π, find all values of that satisfy the equation 7 tan²0 = -7√3tan 0. t the correct answer below: 2πT 3 π = —— 3 = ㅠ 3 2π 3 and and π 2π 0, 3 3 = -π, 2πT 3 me equation has no solutions.

Q: 15. Sketch the region enclosed by the lines x = 3 and y = 1 and the curve xy = 9, and find its area.

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: 7. A radioactive isotope decays at a rate y'(t) = -ky(t) proportional to the amount y(t) remaining…

A: Given:- A radioactive isotope decays at a rate y'(t)=-ky(t) proportional to the amount y(t)…

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

A:

Q: done

A: Factor of -45 is , -9*5

Q: II. Consider the circle C₁: r= 1 and the roses C₂ : r = cos 20 and C3 r = 2 cos 20, each of which is…

A: Given,C1: r = 1 ,      C2 : r = cos2θand  C3 : r =2cos2θ

Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. - n→+o n

A:

Q: Assuming a normal population distribution of x with an infinite population with ux=40 and o= 12 what…

A: Normal Population A random variable X is said to have a normal distribution with parameters μ called…

Q: The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and…

A: Let X denote the lengths of a professor's class. Given that X follows Uniform(a = 49.29, 55.55) Note…

Q: Find an integrating factor for the DE Y( 4x – 3y – 3) dx +x(x – 2y – 1) dy=0_ A x2 y2 D x2

A: In this question, we need to find the integrating factor of the given differential equation.

Q: What is the orientation of the equation of an ellipse below? y² x-² 2.25

A: Solving the following problem

Q: Question 4.1.7. Given an nxn matrix A, when can we form a basis for R" consisting of eigenvectors of…

A: An operator T is said to be diagonalizable if there exists an ordered basis B=v1,v2,...,vn such that…

Q: az and ax az 6x3 3. Calculate the partial derivatives for the function z = - x3+3y3 み=…

A: We know that; The Quotient rule: fg'=f'·g-f·g'g2   3). Given: z=6x3x3+3y3

Q: Match the tool/term to its purpose. Each answer should only be used once. A, Describes the exact…

A: In the given problem, we need to match the items given on the left-hand side to the purpose they are…

Q: 4. Explain why the following statements are true. If B is invertible, then Nul(BA) = Nul(A). а. b.…

A: (a) Suppose that the matrix B is invertible. Show that NulBA=NulA. That means nullspace of BA is…

Q: Use integration by parts to show that | (x) dx = xf(x) –J xf(x) dx

A: For (a), ∫f(x) dx=∫1×f(x) dxBy integration by parts,=∫1 dxf(x)-∫∫1dx×ddxf(x) dx=x f(x)-∫xf'(x) dx

Q: 81. What is wrong with the following calculation? 0 =0 +0 + 0 + ... = (1 – 1) + (1 – 1) + (1 – 1) +…

A: Given a calculation.

Q: Find the area of the shaded region under the given normal distribution, which has mean standard…

A: Given that,The distribution of widget is bell shaped. The mean  is 42 ounces.The standard deviation…

Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

A:

Q: se Green's theorem to find the work done by the force F(x, y) = x(x + y) i + xy²j in moving a…

A:

Q: The region enclosed by the given curve Find the volume of the resulting solid.

A: Given: x=1+y2x=0y=1, y=2About the x-axis.

Q: „Determine the domain and range of the function and explain your answer. 1 f(2) = %3D -

A:

Q: 37. Evaluate the particular solution of the differential equation: y' + y = x³y²; y(2) = -1 16…

A:

Q: limx→x x +x – 1)

A:

Q: 3. Find constants A and B that make the function continuous and differentiable for all x. Ax x > 1…

A:

Q: finition of the derivative, that (cos x) =

A:

Q: 8. Given that |f'(x)| < 1/3 for all x, and f(4) = 0, what can you say about the value of f(10), and…

A: