Graph each equation of the system. Solve the system to find the points of intersection. { y=5√√x y=6-x Which of the following shows the graph of the equations? OA. A 10 OB. A 10- O C. A 10-

Q: An earring made of a homogeneous substance in the shape of a semicircle (radius = R) arc is hung…

A: First we find the center of mass of the semi circular ring. Then using it we calculate the angle.…

Q: Factorize the Following: 108q−36+7q3−59q2

A: Here, we have to factorize the given : 108q−36+7q3−59q2 .

Q: 4. Consider the series an where an = n=1 1 n(n+3) k (a) Find a formula for the kth partial sum, sk.…

A:

Q: use differentils to estimate the amount of paint needed to paint a box 5'' by 4'' by 6'' if the…

A: Introduction: A rectangular prism, also known as a rectangular cuboid, is a three-dimensional solid…

Q: subspace spanned by = X₁Y₁X₁Y2X2V₁ + 4X2Y2, and let P be the orthogonal projection of R² onto W.…

A:

Q: Suppose 3₁ 3/2 P(t) = = g(t) = = This system of linear differential equations can be put in the form…

A: Given that the system of linear differential equations y1'=t4y1+6y2+secty2'=sint y1+ty2-5     .

Q: Find the mass, and the coordinates for the centre of mass, of a lamina bounded by y ≥ 0, z ≥ 0 and…

A:

Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: Liz is working to raise money for breast cancer research. She discovered that each church group…

A: Liz discovered that each church group requires 2 hr of letter writing and 1 hr of follow up While…

Q: 19. Prove that the set of all vectors in R³that satisfy the equation x₁ = 3x2, is a subspace.

A: (.)  Let set  'S'  is given by ,        S=x1,x2,x3∈ℝ3  :  x1=3x2 or   S= x1,x2,x3∈ℝ3 :  x1-3x2=0…

Q: Q44 the temperature function T(x, y) = 100/(3x^2 + y^2) represents the temperature of a point (x,y)…

A:

Q: Sketch the graph described by the following cylindrical coordinates in three-dimensional space.…

A: As per the question we have to sketch the graphs of the following 3d equations in cylindrical…

Q: (a) Let D = R² \ {(0,0)} and consider the vector field f defined by: f(x, y) = f(x, y)i + f2(x, y) j…

A:

Q: Find the optimal solution to the following LP. min z = 2x₁ + 3x₂ s.t. 2x₁ + x₂ = 4 x₁ - x₂ = -1 X1,…

A:

Q: Graph the following function over a two-period interval. Give the period and the amplitude. y =…

A:

Q: The Maclaurin series for a function is given by (-3)^-¹ (-3) -1 71 converges to f(x) for x < R,…

A:

Q: #14 please

A:

Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the…

A:

Q: A). For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343…

A: Let xyz is there digit number x has choice 1,2,...,9 while y and z has choice 1,2,...9  So that…

Q: If a b c d e f = 17, find the determinant of ghi The determinant is a b c ghi de f

A: Here for given determinant we have to find value of other.

Q: Use the given graph (Figure 3) of y= g(z) to sketch the following functions: Figure 3: Graph off (a)…

A: As the multiple part question is posted, we can attempt only first 3 sub parts, please re post the…

Q: A laboratory study investigating the relationship between diet and weight in adult humans found that…

A: Given that  W = f c       where  W = weight of the subject in pounds.                  c  =…

Q: 2. For each of the following sequences, (i) Find all accumulation points and compute lim sup and lim…

A: Let us see what it asks , it asks us too tell convergent sequences-   i ) For the sequence  All…

Q: olve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: 4. a) The function h(x) has a domain of (x = R}, while the function j(x) has a domain of {x = R |…

A: hx=x∈ℝjx=x∈ℝ|x&gt;4 and x≠8h-jx=x∈ℝ|x≤4 and x=8     Hence the domain of h-jx is h-jx=x∈ℝ|x≤4 and x=8…

Q: What is the equation of the following trigonometric function f(x)? -2T f(x) -3m/2 -17/2 π/2 3π/2 2TT

A:

Q: --- Let S = span {x¹ = (a) Use Gram-Schmidt process to find an orthogonal basis {u¹, u²} of S. (b)…

A:

Q: 4. Find the rank and three eigenvalues of A and B [1 0 0] A 2 1 0, B = 0 001 0 0 0-1 -1 0 0 -2 1

A:

Q: The function f(x) = x3 + 5x – 4 has a single zero near x0 = 1. Use the backward difference method…

A: First, let's use the backward difference method to estimate f'(1) with a step size of 0.01. The…

Q: Consider the series Sk = a. Find the general formula for the sum of the first k terms. Your answer…

A:

Q: Determine whether the system is consistent. X1 X2 + 3x3 = 15 -5x₁ + 5x2 - 15x3 = 4 X₁ + 5x2 + x3 =…

A:

Q: Solve the following differential equations 2d²y dx² d²y dy dx² dx dy 1) 2) 3) 4) 5) x² +4x +2y = 0,…

A:

Q: When graphing the polar equation r =3 cos(20) as Ø moves from to, the radius changes from the graph…

A:

Q: Sketch slope fields for the following differential equations. Then sketch a few solutions curves.…

A: What is Slope Field: Slope fields, also known as direction fields, are graphical depictions of the…

Q: erify that the indicated family of functions is a solution of the given differential equation.…

A: Derivative of the function

Q: Determine whether the given first-order differential equation is linear in the indicated dependent…

A: We have to check whether given differential equation is linear in x or y.

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A:

Q: If you toss 5 fair coins, in how many ways can you obtain at least one head? There are different…

A: To find the number of different ways of obtaining at least one head

Q: Suppose |||| = a, so that the tip of r is on a sphere of radius a with center at O. (a) Show that r…

A: Introduction: An orthogonal unit vector is a vector that is perpendicular to another vector and has…

Q: Which polar equation below is the graph of 2TT/3 TT/3 10 4TT/3 Select one: 10- O b. O c. d. 10 20 a.…

A:

Q: Let A be an n x n symmetric matrix. Let {f₁,..., fn} be an orthonormal basis of eigenvectors of A…

A:

Q: Let f(x)-:R->R be defind as (x+4)^2 -5 Find f^-1([4,11]) I understand I am supposed to find the…

A:

Q: Solve the following triangle (find angle A, side a and side b): (Show your work) a) A 16cm B 25

A:

Q: 1. Analytic Method We have explained in lecture that in the real Cartesian plane, the three…

A:

Q: A volume is described as follows: 1. the base is the region bounded by y=9-9x² and y = 0 2. every…

A: Given: The base is bounded by: y=9-9x2 and y=0. And every cross-section parallel to the x-axis is a…

Q: In Exercises 11-14, use RRAM with = 100 to estimate the area of the region enclosed between the…

A: Let f:[a,b]→R be a continuous function. Then the area bounded by the curve y=f(x), the axis of x and…

Q: a. To perform the Integral Test, one should calculate the following improper integral. If the…

A:

Q: Simplify the following Boolean functions. F(w, x, y, z) = !w!x!yz + !w!xyz + !wx!y!z + wx!y!z +…

A: 1) F(w,x,y,z) = w'x'y'z' + wx'y'z' + wxy'z' + w'x'yz' + wxyz' + wx'yz' = w'x'y'z' +…

Q: Are the following statements true or false? T or F A) There is a graph in which every vertex has…

A: It is always possible to find a Hamiltonian circuit in a graph where every vertex has an odd degree.…

Q: a. Use Microsoft Excel or otherwise to draw the graph for each of the following functions to scale,…

A: