A and C only

Q: 3. Prove the following identity: tan X 1 + tan x = sin x sin x + cos X

A:

Q: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = x4 +…

A: We have to find write the polynomial as a product of linear factors.

Q: 14. Find the general formula for the following sequence 4, 12,36... 15. You take a loan on a $12000…

A: We have to solve the question 14 and 15 The solution of both the questions is given below

Q: Consider the inner product space R³ with (u, v) = U₁V₁ +2u2v₂ + 3u3V3 for every π = (U₁, U2, U3)¹, V…

A:

Q: g) f(t)= (1-3)² U₂ (1)

A:

Q: Find at least the first four nonzero terms in a power series expansion about x = 0 for a general…

A:

Q: Consider the ellipse 25x² + 49y² = 1225. Consider the point P(14,5). Find an equation for both lines…

A:

Q: 119. You are sitting in a classroom next to the wall looking at the blackboard at the front of the…

A:

Q: (b) IF there exists a function m(z) with domain R such that f(r)-f(a)= m(x)(x-a). THEN f(z) is…

A: We have to check whether given statement is True or False.

Q: f(x, y) = √ √1 − ² − 2 a) Sketch traces for some values of f(x, y) = k, xz-trace and yz-trace, and…

A: The given function is .Sketch the traces for some values of  and also for  and  as follows.Put  as…

Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

A: Given thatWe have to approximate Projwu and Projuw.We know that

Q: 1. Identify a function that would have this domain and range D: {XER} R: {YER, y≤ 2} Equation:…

A:

Q: 3- Suppose u, v EV and||u|| = ||v|| = 1 and = 1. Prove that u = v

A: Given: Vectors  such that ,  and .To prove that .Concepts used:Properties of Inner Product Spaces:…

Q: Let f: A->B and X⊆A, Y⊆B define a) image of X and b) inverse image of Y

A:

Q: 3. Show that (a) (4²)C = A (b) A-B=An Bº (c) AN (BUC) = (ANB) U (ANC), (d) AU (BNC) = (AUB) n(AUC)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let --->u =[2,-2,1] and --->v=[-3,5,-1] (a)  COMPUTE the distance between -->u and -->v . (b)…

A:

Q: Suppose that X is a nonempty subset of R that is bounded above. Prove that for every € > 0 there is…

A:

Q: 2. Solve for x = [0, 7] with the boundary conditions and the initial conditions Hint: cos²x = Utt-…

A: (2)We have given the partial differential equation with boundary and initial conditions.We use the…

Q: Find the general solution of the following systems of differential equation A) 80-180 X' (t) = X (t)

A: For given differential equation we have to find the general solution. Note - According to our…

Q: 24.1. For each of the following relations, answer the following: Is it a function, and if so, what…

A:

Q: c) d² y dt² +2 dy dt + y = 4t, y(0) = 0, y'(0)=5

A:

Q: √√₁²1² (2 In(x)-3) dx using six subintervals of equal width and one of the following. (Round your…

A: We just use the basic definitions

Q: A large puddle in a field has waves in it on a windy day. The data below gives the depth "d" of the…

A: As per the question we will use desmos to solve the questionAt first we will plot the data points…

Q: Suppose X CR, a E X', f: X → R, lim f(x) = L, and c E R is a constant. Prove x-a lim c. f(x) = cL by…

A: Suppose  is a subset of set of real numbers , and  is a constant.We have to prove We know…

Q: 370 The marginal profit function for a company is given by P'(x) = √x - 5. Estimate the change in…

A:

Q: 1-Find the cosine of the angle between A and B with respect to the standard inner product on M22 2 4…

A:

Q: Use Newton's method to approximate a root of the equation x³ + x + 3 = 0 as follows. Let x₁ = -1 be…

A:

Q: Exercise 10.4.2 Let B = in R². Find [x]B. -1 MGA 0 2 be a basis of R3 and let x = 41 -1 be a vector

A: Goven that  be the basis of  and

Q: Suppose X CR, a E X', f, g: X → R, lim f(x) = L, and lim g(x) = M. Use the x-a x-a definition of…

A: Suppose   that    be two  functions.Let and We  have  to  prove  using  definition  of  limit that…

Q: Use the figure above and the fact that P(0) = 10 to find the values

A:

Q: 1. Consider the sets D = { // : n € J}, E = DU{0}. (a) Really quick: complete the definitions - (a)…

A:

Q: Let the function y = f(x) be defined by the equation x²y² = 2x + y. dy (a) Use implicit…

A:

Q: 3. Prove that 2 is a primitive root modulo 101.

A:

Q: Let ₁ = -9 -13 . U₂ = -14 -21 10 and w= 4 6 2 • Is w in {D₁, D₂, 03} ? Type "yes" or "no". no How…

A: Since you have uploaded multiple parts questions according to our guidelines we have solved first…

Q: Find the inverse Laplace transform of 68 +4 8²-4 8>2

A: Given function: We have to find the inverse Laplace transform of the given function.

Q: 10 Consider the function f(x) = 5x¹0 + 7x³ – 6x¹ – 4. Enter an antiderivative of f(x). Do not enter…

A: The antiderivative of a function is a function such that its derivative equals the original…

Q: Please explain steps in details: The function y = x^2 from x = 0 to 2 is rotated about the y-axis.…

A: The details solution is given below

Q: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

A: Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm…

Q: (a) Activity, duration (b) Start A, 5 A, 3 C,9 B, 2 E, 1 D, 4 B, 4 F, 8 G, 4 C, 5 G, 6 H, 4 1,9 D, 2…

A:

Q: Assume that f is continuous everywhere. Show that for any non-empty subset UCR, if U is ajar, then…

A:

Q: If ||u||²+||v||²=||u+v||², then u and v are orthogonal.

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: 9. Find the average distance from the origin to a point between the spheres x² + y² + z² = 1 and x²…

A:

Q: Consider the sequence Xn = + We wish to prove that. Xn → 0. Given e > 0, we must find NEN such that…

A:

Q: S is the portion of the plane z = x + 1 that is inside the cylinder x²+²=4. Determine the surface…

A:

Q: 1. Star Wars: The Force Awaken is the greatest movie of all time. 2. Harvey Mudd college is in…

A: Given Information:There are 10 sentences provided.To classify:They are logically statements or…

Q: HD XIXTONY Consider the following matrix and answer the following questions: A = IND any…

A:

Q: A curve has equation y = 3 + 12 2-x (i) Find the equation of the tangent to the curve at the point…

A: Finding the x-intercept: To find where the curve crosses the x-axis, we set y=0 and solve for…

Q: Assume we let a random selector choose our outfit in the morning. It can choose a Blue, Red, or…

A:

Q: 4. (a) Show that the function defined by f(x)=2x: (x+2) is one to one and onto from its domain to…

A: Since all question are independent to each other, hence these are multiple questions.so according to…

Q: Consider the function whose graph is the surface shown at the right. Which traces go with which…

A: To extract more information out of the graph we will try to match the traces in the following order…