Evaluate: Cos +iSin 12 12,

Q: Find the derivative of the function f(x) = e(z²-3z).

A: We have to find the derivative of the function f(x)=e(x2-3x) .

Q: solve using variation of parameter

A:

Q: roblem 1. Show that if (x, y, z) is a Pythagorean triple then 60|xyz.

A:

Q: Let A be an m x n matrix. Is the set K defined below convex ? Why or why not ? K = {y € R" : 3r E R"...

A:

Q: Prove that if the set of vectors {ν1, . . . , νn} is linearly independent in V, then so is the list ...

A:

Q: Differential Equations using the method of undetermined coefficients y"+9y=6cos3x with y(0)=1 , y'(...

A:

Q: 2.) Write an example of a conditional statement that is false. If you get good grades then you will ...

A: Solution:-

Q: (b) Does there exist a set A whose set of limit points is precisely {1, ,3..}? Justify your 1 1 1 an...

A: We have to construct a set A whose limit point is set of integer.

Q: х-2 Determine lim х-2- 2-V4х-x2

A: To determine the below limit. limx→ 2−x−22−4x−x2

Q: of f(x, y, tion of ve

A:

Q: Let f: R R be a function defined as f function is one to one.

A: (a) Given, f:ℝ→ℝ be a function defined as                                  f(x)=(x+2)2              

Q: 9. Which of the following statements are true ? (i) If A = (x : x² = 4, x e N), B = {- 2}, then A + ...

A: Solution is given:

Q: Exercise 5. For the given functions f find all z E with f(2) = 0: (i) f(2) = sin () (ii) f(2) = 1+e=...

A:

Q: fomulate the LP Model; identify the decision variables used in the model; and determine the optimal ...

A:

Q: Determine whether the relations represented by the zero-one matrix are equivalent and explain your a...

A: Matrix representation of an equivalence relation is symmetric.

Q: 1. Multiply. x' x x a. 5x'z x- 2xz2 - 4xy x-3x'yz g. 2a'b'c x 2abcd C. e. of

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Proof: Statements Reasons 1. AABC with BC > AB 2. There is a point D on BC such that DB = BA 2. Why?...

A: We know that, a three sided closed plane figure is called triangle.  We can draw a triangle iff " su...

Q: Hauata opens two bank acCcounts: a checkings account with balance o(t) and a savings account with ba...

A:

Q: 2. Use the definition of the appropriate limit to show (a) lim→∞(2x² + 4x – 1)/(3x³+ 1) = 0. (b) lim...

A:

Q: y>x-1 is not function صواب ihi

A: Given: y≥x-1 is not a function   To determine: If the given statement is true or false.  

Q: Show that if (, y, z) is a Pythagorean triple then 60|xyz.

A:

Q: show the vertex, foc

A: Given,        y2+2x+y-3=0

Q: What is the coefficient of (x – 1)5 in the Taylor series for x In x about x = 1? A. – 1/20 В. 1/5! С...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: Show that the statement (Væ P(x)) V (Væ Q(x)) → Vx (P(x) V Q(x)) is a tautology. Show that its conve...

A:

Q: The set S contains some real numbers, according to the following three rules (i) 1/1 is in S (...

A:

Q: a) Explain why the multiplicativity of (n) follows from the formula p(n) = n* | (1 - 1/p) where the ...

A:

Q: preve tan h (ix) = itan(X) sinh (ix) = i sinc(X) Cos h lix) = Cos X %3D %3D

A:

Q: 3 The location i of the centroid of an arc of a circle is given by: i - rsina Determine the angle a ...

A: Firstly using the relation given we form the equation in alpha. In (a) we use the bisection method t...

Q: 45. My Exit Ticket Which of the following does not have a solution of x = - 12 +x= - 1 3 3 x = - 3. ...

A:

Q: Find the solution to the boundary value problem: d?y dy 9. + 18y = 0, y(0) = 5, y(1) = 3 dt dt2 The ...

A:

Q: It A yx+ 11ŷ + 102, B 78+29+ 62 and C +5y+ 42 are coplanar, then the value of the constant "y"is P.1...

A:

Q: в FIGURE 7 FIGURE I 40. Find the volume of a pyramid (Figure 8) in terms of its height h and the are...

A:

Q: Find the average rate of change of the function from t1 to t2.

A:

Q: 1. Let P (x) be the statement "x = x'." If the domain consists of the integers, give True/False acco...

A: Given: The statement "x=x2" denoted by Px. The domain of the statement consists of integers.   To de...

Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d, pass...

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The ...

Q: Mary needs to put some money in her pocket this winter, so she plans on removing snow from driveways...

A:

Q: Determine which of the following transformations are linear transformations. OA. The transformation ...

A:

Q: ) Suppose that the statement p →¬q is false. Find all combinations of truth values of r and s for wh...

A: We have to find the combination of truth values of r and s.

Q: The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the...

A:

Q: |n(n+ 1)" 11. 13 + 23 + ... +n³ : for all integers n2 1. 2

A: The solution for the asked question is given as  

Q: Find the limit : lim,-0 tan(пx)

A: We have to find the limit of given function when x approach 0.

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 6 sin(2x)

A:

Q: Describe the domain of the function f(x, y)= In(6+x-y). 4. {(x, y): y<x-6} {(x, y): y<x+6} {(x, y): ...

A:

Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2j...

A:

Q: We have r(t) = (2e-t, sin-'t, In(1 –t)) , %3D Find 1- The domain 2- ar , an, T, N and t at t=1

A:

Q: Express the area bounded by the graph of g(x) and the x-axds as an integral on the interval (-, ) in...

A:

Q: 9. G(t) = e2-t U(t - 2)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 8th question.  Please s...

Q: Solve the differential equation using Frobenius Method 2x(1– x)y" +(5– 7x)y' – 3y = 0.

A: Given differential equation is solved by frobenius method . The series solution of  equation is give...

Q: Let g(x):= Then (x – 1)2 - lim g(x) = 00. plicit formula for a function f such that lim f(x) = 0 and...

A:

Q: 1. ऊँचाई 14 cm वाले एक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 88 cm है। बेलन के आधार का व्यास ज...

A: