5. 6. Compute the general form of the following anti-derivatives: r² dr (a) [ 2². (b) √x-¹ [x²³dr= (c) [x²² d = dx = Define function of two variables f(x, y) = 1+x+y. Calculate the values: f(0.0, 1.00) = = f(0.1, 1.20) = = f(0.2, 1.43) =

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: Find the antiderivative of the given derivative. dp dx ex+ 2e-2x (ex - e- 2x) 4

A: Given dpdx = ex + 2e-2xex - e-2x4

Q: 2. Find all numbers z such that Az3 + Bz² + Cz = D -3 -5 a. A [4] B =[₁₁1] c = L-₁₁ ย -11] A = 11 3…

A:

Q: Use the quadratic formula to solve the equations in Exercises 7-12. 8. x² - 4x +5=0 7. 5x² - 4x-1=0…

A:

Q: How many milliliters are there in 0.5 liters? 5,000 500 50

A:

Q: 3. If A and B are two sets such that A C.B, then what is AUB? 4. Find the union, intersection and…

A:

Q: 8. Diagonalisation Consider the matrix A= 9 -6 -12] -13 -24 11 -2 ܚܪ ܝ 6 i. Determine the…

A: Given : A=9-6-128-13-24-2611 To find : (a) characteristic equation Dλ             : (b) use…

Q: (2xy + x²)dy + (2xy + y²) dx = 0 A2 (3x² + 2xy) dx + (x²) dy = 0 *A3 (3x²y³ + 3 sin x + 4y) dx +…

A: Disclaimer: SInce you have asked to solve only question 3, this question has been solved only.…

Q: D] A cable television company estimates that with x thousand subscribers, its monthly revenue and…

A:

Q: The family of parabolas with vertex and focus on the y-axis. A B (C) D y'- xy "=0 xy'-y "=0 xy"'-…

A: Where we use vertex as (0, k) and equation of parabola is x2=+-4a(y-k)2

Q: 2. Use the tables to find the inverse z transforms of the following a. Z z+4

A: Introduction: Finding the time domain signal x(n) from its Z-transform X is known as the inverse…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: 10. Let D be the solid inside the cylinder r= cos , above the xy-plane and under the paraboloid…

A:

Q: (d) Find the value of that makes the following two vectors parallel to each other: a=-zi+3j 6=3i-j…

A:

Q: Find the Differential Equation of the Family of Straight Lines with its slope and x-intercept equal.…

A: To make a differential equation we need to eliminate all unknown constant terms by using derivative…

Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A:

Q: Sketch the region and find its area. The region bounded by y = ex, y = e = 4x, and x = In 3 1 -3 3…

A:

Q: Given the function f(x) = x², defined in the range [0, 1], find the g(x) function, defined in the…

A:

Q: The family of parabolas with vertex and focus on the y- axis. A B C D y' - xy "=0 xy'-y "=0 xy" -…

A: The general equation of the parabola with the vertex and focus on the y axis can be defined as:…

Q: Consider the linear program Maximize the value of 2x1 - 3x2 among all vectors * R² satisfying 21 > 0…

A: We need to maximize: 2x1-3x2, given: x1≥0, x2≥0, x1≤1, x2≤1. A graphing utility can be used to plot…

Q: Use the identity 1/n = (1/n+1)+ (1/n(n+1)) to find two unit-fraction fraction representations of…

A:

Q: Solve the equation. The letters a, b, and c are constants. X= b+c b-c x+a x-a , c#0, a#0

A: b+cx+a=b-cx-a⇒(x-a)(b+c)=(x+a)(b-c)⇒bx+cx-ab-ac=bx-cx+ab-ac⇒2cx=2ab⇒cx-ab=0

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: The following table gives the choices of two individuals, Chloe and Micah, from the menu M = {A, B,…

A: We have given two individuals Chloe and Micah and a menu as a set M=A, B, C, D such that each…

Q: YOUR PROBLEM B: The surge function model has the formula below (r is the elapsed time, A, n, B, C…

A: We will use derivative to find the value of A and B. Which helps to identify concave up and down .

Q: Explain the reason, why we factorize real matrix to get singular value decomposition ?

A: To Describe : Why do we factorize real Matrix to get singular value decomposition

Q: Write the base five numbers 1234 five and 1.234five as base ten numbers.

A:

Q: 17. (sin x) y' y cos x - sin 2x, y(π/2) = 2.

A:

Q: Let a, b, and c be real numbers such that a + 2b + c = 4. Find the maximum value of (ab + bc + ca).

A: Given that a,b,c∈ℝ such that a+2b+c=4            (1) we have to find the maximum value of  ab+bc+ca…

Q: Find the base five representation for these base ten fractions: a. 9/25 b. 23/125

A:

Q: You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how…

A: (a) Here we have given that you want to send postcards to 12 friends and in the shop there are only…

Q: Verify Stokes' theorem for the helicoid Y(r, 0) = (r cos 0, r sin 0, 0) where (r, 0) lies in the…

A: To find- Vertify Stokes' theorem for the helicoid ψr, θ = rcosθ, rsinθ, θ where r, θ lies in the…

Q: At Gillway Community College, 43 out of 381 students earned honors. At Montessa Valley Community…

A: Given that School Total number of students Honors Percentage Gillway Community College 381 43…

Q: Consider the sequence defined recursively by a1 = -1. 02-2, an+1=-8an-1-9an We can use matrix…

A:

Q: Consider the vectors H [0] H . If I is the line defined by the vector w₁, fi W1 = [o] W2

A: Here, in the question three vectors are given:  w1, w2, b  L is the line defined by the vector w1 We…

Q: z₁ and z₂ are the roots of 32² + 3z + b = 0. If O(0), (z₁), (Z2, form an equilateral triangle, then…

A:

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: Prove that for every pair of vectore XERn and YER's llocl·llyll.cosd where I is the angle between x…

A:

Q: Find the summation form of the Maclaurin series for x*sqrt(1+x

A: What is Maclaurin Series: If it is known that the values of the function's successive derivatives at…

Q: Pacific salmon populations have discrete breeding cycles in which they return from the ocean to…

A: a) let the number of fish at time t be nt  and predation occurs with probability d thus, remaining…

Q: If A1, A2, and A3 are coplanar vectors, using the graphical method (parallelogram and head to a) Add…

A:

Q: Let w be the projection of u in the direction of v. That is, w = proju. The x-component of w, to 2…

A:

Q: y(4) + 3y" - 4y = 0

A:

Q: 125,-25,5,-1  identify the pattern and what is the next number

A:

Q: Set A={1, 2, 3, 4, 5) and set B={Ford, Chevy, Toyota, Kia, Honda). Are sets A and B equivalent?…

A: Two sets are equivalent if they have same number of elements(members). So answer is option A

Q: Represent the given graph using an adjacency matrix. b C III IIII IIII

A:

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: Given,           x'1=x1-2x2x'2=2x1+x2, and  x1(0)=0, x2(0)=4.

Q: ydz + [y+tan (x+y)]dy: 0,

A:

Q: Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² +9ax - 1 never…

A:

Q: (a) What is the symmetric difference of the set Z+ of nonnegative integers and the set E of even…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…