Q.#15 Please prove the following trig identities/equalities. To do so, start with LHS (or RHS) and get RHS (or LHS). If easier, ok to work on both sides BUT don't intermix the sides! a) cos 20-1-2 sin ²0 b) 1-cos20 cose =2 tanesine Final Answer See at left! Page 11 of 15 Final Answer

Q: A*(x) = n(t, Un)un, x≤ H. Since for all x H, A* (A(x)) A(A*(x)) = Σkn(A(x), Un)Un = Σ|kn|²(x, Un)Un,…

A: Kindly refer to Step 2 for the solution.

Q: What is a disadvantage of Euler angles? O Euler angles are harder for humans than matrices O Euler…

A: Disadvantage of Euler angle is that  Euler Angles suffer from singularities and are difficult to…

Q: Which is/are the correct counterexample to disprove the statement that all perfect squares are even?…

A: We have to choose the correct counter examples to disprove the statement that all perfect squares…

Q: A produce buyer for a juice company is buying pears. He makes a choice of either wist wast large or…

A:

Q: Find the order of 5 modulo 2^100.

A:

Q: (88). Find the eigen functions for the boundry valve problem. following x²y" - 13 xy² + (49+ X) y =…

A:

Q: In cartesian product, is A X ( B X C ) = (A X B) X C

A:

Q: nd the point (a, p) on the ellipse 4x adrant, so that the area enclosed by the

A:

Q: Assuming the petrol burnt (per hour) in driving a motor boat varies as the cube o its velocity, show…

A:

Q: or else explain why the Either find the limit of=1 sequence diverges. Write your answer in the…

A:

Q: Verify Green's theorem in the plane for (2xy-x²) dx + (x + y²) dy where is the closed curve of the…

A:

Q: minimize x2 - (x₁ - 2)³ + 3 subject to x₁-x₂² - 4 ≥0, x1 - 10 ≤ 0.

A:

Q: x+3x+2x = 2√e¨¬dt Find x(t). Note that x = dx/dt, etc. (b) What is the value of x(t) ast →∞ ?

A:

Q: Let H be the subspace of P2 spanned by S = {P1, P2, P3, P4, Ps}. Is S a basis for H? If not, is…

A:

Q: Prove that if an and bn are sequences such that an ≤ bn for all but finitely many values of n and…

A:

Q: Use the Select Power slider to compare the graphs of x¹, x³, x5, x7,... What is the range of these…

A:

Q: equal to 4 and satisfying the relation X1 x2 X₁-1 X₂-1 + = 2.

A:

Q: Suppose sn and tn are sequences such that |sn| ≤ tn for all n and lim tn = 0. Prove that lim sn = 0.

A:

Q: 10) -2 20 18 16 +4 12 10 81 N 4 9

A:

Q: 1. Consider the result: For all integers x and y, if x + y ≥ 9, then either x ≥ 5 or y ≥ 5. (a)…

A:

Q: ← A single fair eight-sided die is rolled. Find the probability of getting a 8 or 2. What is the…

A:

Q: The rebate offer is $3800, and you can obtain a car loan at your local bank for the balance at 3.78%…

A: Let E be the monthly payment , P be the principal amount , r is the rate of interest and n is the…

Q: In a survey of 282 college students, it is found that 64 like brussels sprouts, 94 like broccoli, 58…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

Q: Find all extrema and any inflection points for the function f(x)=sec² x-2 tan x on the interval T T…

A:

Q: Discuss the monotonicity of g(x), where g(x) + f(6-x²) Vxe R. It is given that f"(x) > 0Vxe R. =

A:

Q: For the selected cell create Dantzig's closed path, and specify the maximum amount of goods possible…

A:

Q: The tangent to the parabola v = x been drawn so that the abscissa the point of tangency belongs to…

A:

Q: r = 1 for 0 € [0,л] and Ø € [0, 2À) 0= π/4 for 0<r≤ 1 and Ø = [0, 2π) Ø = π/2 for all values of r…

A:

Q: Suppose that the functions M and N of the variables x and y are both homogeneous of the same degree,…

A: NOTE: It is y=z(kx)/k , not y=z(kt)/k.

Q: Evaluate each integral. *x+y ["ya [ y dz = *x+y [*** Jx-y y dz dy = • JL.Y [y dV, where E = {(x, y,…

A:

Q: log_b x=4 log_b y=2 solve log_b(x^4y^5) log_b(x^b/y^4)

A:

Q: 5. Consider the set of vectors B= 8 # and the vector y=-9 a. Show that S is a basis of R³. b. Find…

A:

Q: 1. Find the value(s) of x at which the function f(x) 5 any, on the interval = 2² 2x - 5 attains its…

A:

Q: . State whether the series converges absolutely, conditionally, or not at all. ∞     n = 1(−1)n + 1…

A:

Q: 2 f(x) = tan √√3 10 is a decreasing alues of 2 2x+1 -log (x² + x + 1) + √3 function for all x = R,…

A:

Q: Find the general solution of y" - 6y"=3 - cosx.

A:

Q: By dragging statements from the left column to the right column below, construct a valide proof of…

A:

Q: If lim bn = B = 0, prove that there exists a number N such that |bn|2|B| for all n > N.

A:

Q: 1. Find the roots (zeros) for P(x) = x4 - 6x³ + 9x² + 4x - 12. For this process exam, you DO NOT…

A:

Q: Let f: Ax AA and let CCA. We say that C is closed under f to mean that Vx, y E [f(x, y) E C]. For…

A: Answer :-

Q: The average apartment rent in country A is $1330 per month. Jacob has an apartment in city B and one…

A:

Q: Assume a population of 3, 4, and 11. Assume that samples of size n = 2 are randomly selected with…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: In exercises 5-10, find parametric descriptions for the following surfaces. 6. Paraboloid = ² + y²,…

A: Given paraboloid is circular paraboloid.

Q: Q.#16 Please solve each of the following trig equations on the interval [0, 27). a) sin 28 = sin 8…

A:

Q: e) A manufacturer produces three products: Product A, Product B and Product C. To be able to produce…

A:

Q: A. i. Using Arithmetic of Limits, find limn→∞ 2n / (3n + 5)&nbsp. (2n devided 3n+5.. ii. Working…

A:

Q: Let f'be continuous on [a, b], a>0, and differentiable on (a, b). Prove that there exists c = (a, b)…

A:

Q: II. Let G₂ be the solid above the xy-plane that is inside the sphere x² + y² + z² = 16 but outside…

A: The given problem is to evaluate the given triple integral of z over the given region above xy plane…

Q: In exercises 13 - 15, let S be the hemisphere æ² + y² + z² = 4, with z ≥ 0, and evaluate each…

A: Kindly refer to Step 2 for the solution.

Q: characterize the following differential equation (what order is it, if it is linear or not, if it is…

A: