Prove Theorem 7.3.1(b): If fis any function from O a set X to a set Y, then Iy ° f = f, where Iy is the identity function on Y.

Q: Confirm that points (1,2,-1), (2, 5,-2) (4, 4,-3), (3, 1,-2) are vertices of a rectangle. Then, find…

A: Kindly refer to Step 2 for the solution.

Q: Find the work done by the force F = xyi + (y − x)j over the straight line from (0,0) to (2,2).

A:

Q: -10 O -5 smaller x-value larger x-value y (x, y) 10 Solution, Set 5 -([ 10 X -10 DO XX 5 10 -10 -5…

A:

Q: Find the solution the initial value problem x' = x(0) = ( 1 ). (125) x

A:

Q: 4. How many edges does a graph have if its degree sequence is 5, 2, 2, 2, 2, 1? Draw such a graph.…

A:

Q: Consider the two power series Σ f(x) = x + n=0 (3x)2n+1 (2n + 1)! 8 (x + 1)" g(x) = Σ 3 n ln(n) n=2…

A:

Q: solve for A =  2 4 0 0     4 2 0 0 0 0 2 4 0 0 4 2

A:

Q: Among all rectangles that have a perimeter of 28, find the dimensions of the one whose area is…

A:

Q: 2.xxX-Y) (xX+1)

A: This is the problem of multiplying binomial. It has been done step by step. See the attached image

Q: Let p denote "elephants have quills" and let q be the statement "tigers have stripes." Determine the…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Find ect and the solution to X' = CX + (1) t X (0) = 0

A: X'=CX+1t1X0=000

Q: For each quadratic function and constraint a) Write the matrix associated with the quadratic form.…

A: According to the guideline, only one question can be answered. Please repost other question…

Q: 2. 2y"-3y = 0

A: 2y''-3y'=0

Q: A bag used to apply icing to a cake is in the shape of a cone with a radius of 3 inches and a height…

A:

Q: Q14: What is the coefficient of the term independent of x and y in the multinomial expansion 3 4 (5x…

A:

Q: rst four terms in each portion of the series solution a ential equation. x²y" 5x y' + 6y = 0

A:

Q: Show that topology. л co-finity tupuljogy is a

A:

Q: 7. Write the equation of a possible rational function given the following information: a) Vertical…

A: We have to find the rational function that satisfies the condition, a) Vertical asymptotes at x=±5…

Q: g(n) := Σu(d)ƒ (d) = [I (1 − f(p)). II d\n p|n where product is over all primes which divides n.

A:

Q: Find the least integer n such that f(x) is O(x") for each of these functions. a) f(x) = 2x³ + x²…

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

Q: Use (a) the Trapezoidal Rule integral 1to 4    sqrt x cos x dx                 with n= 8

A: The trapezoidal rule is the technique used to find the approximation of the integral by dividing the…

Q: Evaluate the triple integral plane a 4. adV where E is bounded by the paraboloid z4y2 + 422 and the

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 64 Find the sum of the series 9 + 12 + 16 + + 2621 218

A:

Q: Prove that n²¹ +n²+1 n = 0(n³).

A: To Prove: n4+n2+1n=Θ(n3).

Q: We have the set of all functions from R to R (f(R,R)). How do I prove that this function's…

A: Kindly refer to Step 2 for the solution.

Q: ersa. Prove that being of the same size is an equivalence relation. Hint: It may be necessary o show…

A:

Q: Q3/1 find the Patriar Beries of f(x) Xx [ov -1 < X <0 اكلك

A:

Q: Calculate the surface integral ſf F. NdS, where F = (-x²z, xz², -yz²) and S is the surface with…

A:

Q: Show that the osculating plane at P has three point contact in general (contact of second order)…

A:

Q: F(s) = = S-1 s²-s-2

A:

Q: The book club has 15 members, 7 distinct romulans and 8 distinct klingons. In how many ways can a…

A:

Q: Without converting to decimals, what are 3 rational numbers between the fractions 7/8 and 8/9

A:

Q: Find the Jacobian J of the transformations • x=2u - 1, y = 3v-4, z = (w-4)/2. • r = u cos(v), y =…

A: Since you have posted multiple questions with multiple subparts, we will provide the solution only…

Q: Determine a, h, b so that the paraboloid 2z = ax² + 2hxy + by² have the closest contact at the…

A:

Q: Given that 1 1 − x =  ∞     n = 0xn, use term-by-term differentiation or integration to find a…

A:

Q: Determine the fractal dimension of the following fractal, called the Cantor dust: O log 3 log 2 O…

A: A Cantor dust is given in a 2D shape.We need to find the fractal dimension of the given fractal.

Q: Prove that: ² ² ; x ²) = ↓ sin¯' x + 1 + + ((a) 2 ³₁ ( ² ² ² i (b) 2 -x tan X

A:

Q: Problem 3. Evaluate the following (please do not use a calculator): (a) 11 11 11 11 11 (mod 10) =…

A: We know that modulo is remainder after dividing one number by another. Let a, b, m are integers with…

Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of…

A: Account with more interest rate yield more So Lowest yielding ,least risky account interest…

Q: Let f(t) = 00 n=1 2 6n³ + 3n¹3 -cos(nt).

A: Cost is infinitely differentiable function . Also 1/x is infinitely differentiable function .

Q: Line integrals Evaluate the following line integral using a method of your choice.

A: Given: F=2xy+z2, x2, 2xz and C is the circle rt=3cost, 4cost, 5sint, for 0≤t≤2π. We have to evaluate…

Q: Determine the type of the rosette pattern given below. O Cyclic O Cannot be determined O Dihedral

A: Cyclic pattern is which has no reflection and rosette pattern with Reflection is called Dihedral.

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

A:

Q: Let T: P₂ → P3 be the linear transformation T(p) = 8xp. Find the matrix A for T relative to the…

A: Let, T:P2→P3 be a linear transformation  defined by:  T(p)=8xp We have to find the matrix A for T…

Q: Prove that: 3 (0) 2³ ( 1 - 4 ² ³ ; x ²) = + sin²¹ x (b) 2₁ (¹-x²) == tan²¹ x 1 H

A:

Q: Consider the system: X1Xx3 + x₂x² = 0 |x₁x³+x²x=0 1. Can we solve for x3 and x4 as functions of ₁…

A: The given system of equations is: x1x3+x2x42=0x1x43+x22x36=0 We know that the implicit function…

Q: Prove that if p and q are distinct odd primes, then we have (P-1)(T-1) 4 [H = (-1) TD quadratic…

A:

Q: a) show that the given function is 1-1 or give a counterexample. b) show that the given function is…

A:

Q: An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and…

A: We need to use multinomial theorem to find total possible way to select 14 base ball bat

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: