11. f(x) = (x– 4)² +3; reflect in x-axis Questions 12-15: Solve the following systems. x+3y = 1 12. 3x + 7y = 1 2x + 5y = 14 13. 3x - 2y = -36 x-2y+4z = -19

Q: Find all values of a for which the given vectors form basis for R' a² u = v = and w = a 1 2

A: Basis of a vector space: A set S⊂V(F) is said to be basis of vector space over field F if it satisfi...

Q: 3. Equivalence Relations Suppose A is a set and R is a reflexive and transitive relation on A. Show ...

A:

Q: - 4x +y+2 Find lim (x,y)-(4,-2) x+y² -1 - 4x? +y? +2 lim (x.y)-(4,-2) x+ y² - 1 (Type an integer or ...

A: To find the value of the limit, substitute the limit value for x in the given expression and simplif...

Q: 1 dx, x3 – 1 (b)

A: a3-b3=(a-b)(a2+ab+b2) first we will do then partial fraction then calculate the integration.

Q: Multiply both sides of the equation by the same expression: x(a – b) =| ×(-cd) The resulting equatio...

A: Multiply both sides of the given expression by -1c to obtain d.

Q: Given the vector field V(x,y)=- Vx² + y² 1 Conceptaulise V(x,y) with a sketch. 2 Is V(x,y) a source ...

A: For a two dimensional vector field, F→(x,y)=M, N , the curl is calculated using the formula, curl F→...

Q: Let A = {{a}} and B = { a, {b}, {ạ,b}}, C= {}, and D = {{}}. How many elements does each of these %3...

A:

Q: 13. Determine the truth value of each of these statements if the universe of discourse consists of a...

A:

Q: Find the area of the region.

A: Given region is 

Q: (c) Calculate the following limit, e -I - 2+ cos a lim 20 2x Justify the steps in your calculation.

A:

Q: Use >, <, or = to solve the inequality below. 4 1/2

A: We have to use the appropriate inequality &gt;,&lt; or = in the given expression. Given 45 and 12. T...

Q: Find C2 {sin (*)} (Finite Cosine transform) А. В. 2L С. None D. 4L O E. 6L II

A:

Q: Using the Laurent series find the first 4 non zero terms of : around z=0

A:

Q: An amount of $1300.00 earns $500.00 interest in three years, five months. What is the effective annu...

A:

Q: 3. Solve the differential equation 2xy = 4x +3y² dx

A: Given differential equation is  2xydydx=4x2+3y2

Q: grapli wiull ns 4 -4 4 -4 -2 -4 . A(x) = 3-2 +2 b. B(z) = -()i c. C(x) = -}(8)÷(2+1) + 2 +2 2 -2 d. ...

A:

Q: Use Newton's method with x(0) = 0 to compute x) for each of the following nonlinear systems. 4x7 – 2...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Solve the following using second shifting theorem (t- shifting) 1.Solve the Laplace transform of the...

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: 1. Strontium-90, 90Sr, has a half-life of 29 years. a) If 42.5 grams remain after 50 years, what is ...

A: The formula for the quantity remaining of a substance after t years is: Nt=N012tt12 Here, t12= half-...

Q: 1. Solve the following Exact Differential Equation (ax³ + y*)dx + 3xy²dy = 0

A: The given differential equation is                                                  x3+y3dx+3xy2dy=0...

Q: ial values (a, x," , x") = (1, 1,1), then what is the value of a after first iteration (0) (0) (1) (...

A:

Q: A battery for an electric vehicle will provide a range of 5 miles for each battery, but for each bat...

A: The word problem can be solved by generating an equation for the problem. The equation for the word ...

Q: The sketch below show Cartesian coordinates converted to polar coordinates. P(x,v) P(r,0) P(x.v) P(r...

A: We are given the mathematical formula in the Cartesian coordinate system, r^=∂x∂ri^+∂y∂rj^ and θ^=∂x...

Q: Find the velocity and acceleration vectors in terms of u, and ue. r=7 sin 3t and 0= 9t 3Du, +ue V = ...

A: Given To determine  the velocity and acceleration vectors 

Q: For a building with perimeter of 146, the exterior walls are 8 ft high and has 2×4s studs at 19" on ...

A:

Q: 2. (a) Determine c, and cz that y = c¿e³x + c2e¯2x + 2 sin x will satisfy the conditions y(0) = 0 an...

A: We have to determined the value of C1 and C2that y=C1e3x+C2e-2x+2sinx will satisfy the condition y(0...

Q: 4. Symbolize the given argument using the given symbolization key and using truth tree, determine wh...

A:

Q: At the point of discontinuity on(0, 00), the Fourier Sine integral converges to: OA None f(x+) - f(x...

A: Here  At the point of discontinuity on  0,∞ the Fourier sine integral converges to

Q: The ratio of new age tunes to classical tunes on Raven's mp3 player is 3:1. If Raven has 3 classical...

A: Suppose we have equation xa=bc where a,c≠0 and a,b,c∈ℝ . To find the x apply the below method : Mul...

Q: Robots can think.) 5. Symbolize the following sentences in PL a) All are red if none is black b) Som...

A:

Q: Use quantifiers to express the associative law for mul- niplication of real numbers

A: The associative law for multiplication of real numbers using the quantifiers is

Q: yd the geroral solution uf y3y'+2y= 4&=2xe

A:

Q: Use Galerkin's method to formulate a linear finite element for solving the differential equation d'y...

A:

Q: 2.

A: 2. From the given figure we have  ∠zyw=∠ywx∠x=∠z To prove : ∆yzw≅∆yxw

Q: Find the linearization L(x,y) of the function f(x,y) = 3x - 3y+6 at the points (0,0) and (1,1). The ...

A: We have to find the linearization L(x,y) of the following function , at the points (0,0) and (1,1) f...

Q: 2. The variables r and t satisfy the differential equation d²r 7- dt² dr dt + 2r = 0, 1 = 2, dr = 0 ...

A: Given : differential equation  7d2xdt2+5dxdt+2x=0 ,           x=2, dxdt=0 when t=0

Q: Let V be a finite dimensional vector space and T: V V be linear. A subspace WCV is T-invariant if T ...

A: Please check step 2 and 3 for solution.

Q: Find the first two iterations of the Gauss-Seidel method for the linea 10x, - 2x, - x, = 27 systems-...

A: Gauss-Seidel method Consider the given system of equation Re-arrange the system in such a way that ...

Q: Solve the BVP in spherical coordinates v²u = 0, 1< p< 2, 0< ¢ < ñ. u (1, ø) = 3P2 (cos o), u (2, 0) ...

A: Given that ∇2u=0, 1&lt;ρ&lt;2, 0&lt;ϕ&lt;πu1,ϕ=3P2cosϕ, u2,ϕ=P3cosϕ

Q: the norms of a vector X = [1,12, ...,I" and matrix A = (a5) are respectively defined as ||X|| = E an...

A:         Given, the norms of a vector                     X=x1, x2, . . ., xnTand matrix             ...

Q: Prove or disprove that all chessboards of these shapes can be completely covered using L-shaped piec...

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

Q: (b) Let h(x, y, z) = x²y + yz², where x = u + v, y = u – v and z = -u. Calculate and du dv

A: Since according to our guidelines are bound to provide only typed solutions therefore we are not abl...

Q: How many sequences of length 5 whose elements come from the set S start with an upper case letter or...

A: The question is based on the combinations number of ways of choosing r out of n is : nCr=n!r!×(n-r)!

Q: 1. A weight attached to the end of a long spring hanging above the ground is bouncing up and down. A...

A:

Q: Which of the following transformations to triangle ABC would not preserve size and shape? Translatio...

A: The figures can be transformed using the transformations. The translation is moving the figure in a ...

Q: Use inductive or deductive reasoning to answer the following questions. 1. Predict the next number i...

A: (a) Given that, the sequence is 11,13,17,19,23,____. From the above sequence it is observed that, th...

Q: Consider nonnegative integer solutions of the equation x1 + x2 +...+10 = 100.

A: As per guidelines, handwritten answers are not acceptable. So, we will provide only typed answers. G...

Q: Use mathematical induction to prove that the following statement is true for the function f(x) = 2e3...

A:

Q: 3. What is the negation of cach of these propositions? a) Today is Thursday. b) There is no pollutio...

A:

Q: Let X= {3,4,5,..} and A={4,6} and metric defined on X as d(x,y) |= |x - y Find interior of A (1) Fin...

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for...

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.