#12, Arepresents He loine i HER Which pt. on A is closest to the pont P(2, -1,4)! A) (s/2, IM, W4) B) (1v2, -5/4,74) C) (-l,-2,1) D) 10,-3/2, 3/2) E) None

Q: 7. Isosceles triangle (a) Determine the area of AABC. Note that you will need to use right triangle…

A: The plane figure bounded by the union of three lines, which join three non-collinear points, is…

Q: dy + 0.4y = 3 cos(2t). dt 7. Consider the nonhomogeneous equation (a) Find the general solution…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: 4. I, Let L: V W be a linear transformation from the vector space V to the vector space W such that…

A:

Q: + y4 + z4 = 3x?y²z?, (1, 1, 1) (a) Find an equation of the tangent plane to the given surface at the…

A:

Q: The series (-1)"n²n! 2" n=1 O converges absolutely converges conditionally O diverges diverges…

A: Given series: ∑n=1∞-1nn2n!2nHere we have to check the correct option.

Q: Compute the line integral -xdy + ydx 2(x-y)2 + 4xy where L is the circle (1-x)2 + y? 3 with a…

A: We will find parametric equation of L and then convert whole equation in parametric form

Q: 1. Let X be the graph of f(r) = r given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: 130=c² e coordinates of R so th a parallelogram. Prove a parallelogram.

A: INTRODUCTION: If both pairs of opposite sides of a quadrilateral are congruent, then the…

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: solve when f(t)> g(t)

Q: (Drag and drop the missing words) An is the of a definite integral as an endpoint of the interval of…

A:

Q: So (b) dr centered at a = 0 (Use your answer to part (a)!) %3D

A:

Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A:

Q: alue of the pur C: |z| = (:-1)(z-

A:

Q: -s of the matrix or p = 2. What the Eigen valu

A:

Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

Q: B. Temperatures in degrees Celsius (C) may be changed to degrees Fahrenheit (F) by using the formula…

A:

Q: (a) (i) Use Euclid's algorithm to find a multiplicative inverse of 23 modulo 75, and hence solve the…

A:

Q: The day after, their class decided to pick a president. Despite telling the class they did not…

A: We will find respective probability and then use exhaustive events property .

Q: (a) A hyperbola in standard position has equation 36x? - 49y? – 100 = 0. (i) Find the vertices and…

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

Q: -1 4 07 A = -5 0 -6 4 5

A:

Q: Q2) Find the optimal solution using simplex method Max z = 8x, + 10x, + 7x3 s.t: 4x, + 6x2 + 3x3 5…

A: The problem is max z=8x1+10x2+7x3 subject to 4x1+6x2+3x3≤607x1+2x2+5x3≤406x1+6x2+9x3≤36…

Q: Figure Q2 shows an 11 m long steel beam AC of uniform cross-section, simply supported at left end A…

A:

Q: Oues: Solve:- min flx,,) = (x, - 1)*+ Cn3- 1)? Subrected to n, +22=4 X,ー-2 き6 Hint : Convert to…

A: Given that,minx1, x2fx1, x2=x1-12+x2-12Subjected tox1+x2=4x1-x2-2≥0The minimum of the given function…

Q: Q1) find the general solution of the given differential equation. y" + 3y" + 3y' + y = 0 1) y(4). +…

A: As the policy of bartleby the provisions is to solve only one question at a time

Q: 2 2 -2 - 4 Let S = {|1 |, – 1 1 The basis of S are 1

A:

Q: Two similar cones have heights of 4m and 12m. What is their scale factor? What is the ratio of their…

A: Given: Both cone are similar

Q: Answer the following muitiple-choice awestion below alguora A22. A is a 7x7 natrix. Assume that A…

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.

A: Given,          ∫-aa∫-a2-x2a2-x2dydx

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

A:

Q: A secant drawn through the points shown on the graph has a slope of 10 O a) O b) 5 Oc) 2 O d) 의

A:

Q: 6) If differentiable functions y = F(x) and y = G(x) both solve the initial value problem dy f(x),…

A:

Q: wit Find the akeaf fakthe fallowing regions : Area enclosed by the diagram . V= Sin 3o

A:

Q: 5. List the intervals where f is concave up. 6. List the intervals where f is concave down. 7. List…

A:

Q: A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and…

A: We will use Lagrange Multiplier method to  maximize / minimize a function f(x,,y,z) subject to…

Q: 8. Critique the reasoning of others. Roger states that the name for an angle could consist of two…

A:

Q: QUESTION 3 Select the expression that is equal to 12P4 12 x 11 x 10 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5…

A:

Q: ter performing the calculations, swap the order of integration and count the integral again.

A:

Q: 3. Solve the initial value problem y" – 3y' + 2y = 10 sin x with y(0) = 1, y'(0) = -6 by using both…

A: The given initial value problem is                                          y''-3y'+2y=10sinx,…

Q: (b) There exists LE R such that L4 Size(O(n)).

A: Given below clear explanation

Q: Use proof by cases to prove that for any integer n, n² + 3n + 7 is even.

A:

Q: Find F(2). 5sinh (3t) + 4cosh (3t) round off to 1 decimal place. Answer: -4.6

A:

Q: Consider the figure below.  Triangle A'B'C' is a projection of triangle АВС. Points C, C', and Q…

A: It is given that A'B'C' is the projection of ABC. Therefore, A'B' is corresponding to AB, B'C' is…

Q: I-y 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1, y)

A: The given question is related with two variable function. Given that,                  fx , y = x -…

Q: 2. An international airline has a regulation that cach passenger can carry a suitcase having the sum…

A: Solution:   let width =x, length =y ,height =z given  each passenger can carry a suitcase having the…

Q: A=30 ,B = Find the 3x3 homogeneous matrix for 2D-reflection across a line that goes through (B, C)…

A:

Q: Find the volume of the pyramid with base in the plane z = -9 and sides formed by the three planes y…

A:

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: In part (a) we will use the Bisection method in which if root lies between a    and b then root is…

Q: A spherical tank of radius 4m is filled with water to a height of 1.2 m. The water is transferred to…

A: Let us find the height of the frustum of the cone in the next steps.

Q: Find a formula in terms of k for the entries of AK where A is the diagonalizable matrix below and…

A: Use matrix diagonalization, to obtain the solution. The diagonalization of the matrix A is given by…

Q: A Ferris wheel has a radius of 35 feet. The bottom of the Ferris wheel sits 0.7 feet above the…

A: