b) Find the values of a and b so that the unction f(x) = x² + ax + b has a local maximum at the point (-3,2).
Q: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…
A:
Q: The annual average population growth rate in the Philippines from 2015-2020 is 1.59%. Assuming that…
A: Solution :-
Q: 1. In how many ways can we distribute eight identical white balls into four distinct containers so…
A: Number of ways of distributing n identical balls into r distinct boxes =n+r-1r-1 Number of ways of…
Q: 5. (i) Let 7 be a permutation on {1,2,.,n}. The matrix Pr for which pi. = e-(i)• is called the…
A:
Q: Explain the Importance of mode and range
A: In statistics, the mode is important for the following reasons: Reason 1: It lets us know which…
Q: b- Using the variation of parameters, find the general solution of the second order differential…
A:
Q: SOLVE TOTAL DIFF.. EQUATION. (x+2)²dy + y² (dx+dz) =0
A:
Q: You deposit $6000 in an account earning 7% interest compounded monthly. How much will you have in…
A:
Q: 2. Let A € Mat2x3 (R) be as below: -1 3 7 A = -4 -3 2 Find a (row) echelon form of A. Write down…
A:
Q: use triple integral to find the volume inside x2+y2=4x, above z =0, and below x2+y2=4z
A:
Q: Consider the vector field f (x, y, z) = xz i + yz j+ x²y² k . Let S be the surface of the sphere of…
A: Using parametrization of the surface and curve
Q: i need the answer quickly
A:
Q: 64 Evaluate dydxdz Jo Jo
A:
Q: Consider the double integral xy I dA x2 + y? R. where R is the region of the XY plane, given in the…
A:
Q: Find the number of G-orbits in X := {1,2,3, 4, 5, 6, 7, 8, 9, 10}, where G < S10 is the subgroup…
A: Solution:Let g1 = (1,2), g2 = (3,4,5) - and g3 = (6,7,8,9). All three cycles at sight are…
Q: 6. You want to find the dimensions of the rectangle with the largest area that can be inscribed in…
A:
Q: use two and three Points of Gaussian Guadrature xp = 1 %3D
A:
Q: How much should you invest at 3.2% simple interest in order to earn $90 interest in 4 months?
A: The formula is I=Prt , Where I=interest earned, P=principal, r=rate of interest, t=time. Here, I=$90…
Q: 14. Consider z as a function of the variables x, and which is defined by = In(x"y*) + and be P (-1,…
A: The function x is given as z=ln(x10y8)+y2x4and point P(-1,1) . we have vectors u=(α,β) , w= (α,…
Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE…
A: We have to find the general solution of the non-homogeneous differential equation…
Q: V=R Prooflthat Nisavectors sPoe
A: Here we use the definition of vector space and it's axiom to prove the question
Q: Represent each of the following equations in R2 by a vector-valued/parametric equations: 1. y = mx+…
A:
Q: (2k – 1)? 4. Consider the following function: -1- 2, -2<I<-1 f(z) = {1, -1<1<1 2-エ。 1<r<2. (i)…
A:
Q: 4. Find the centroid of the region bounded by graphs of y = 4x – x², y = 2, and r = 0.
A: As per guidelines we experts are allowed to solve one problem at a time. Please reupload the fifth…
Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi
A:
Q: Given the following set of the vectors from M22 11 0 0 1 0 0 1 S = 0 0 1 1 0 1 11 Sis the spanning…
A:
Q: Advanced Math A company estimates that the production cost function of x product is giving the…
A:
Q: Use substitution by inspection to solve for the differential equation. (do not use other methods)…
A: We have to solve the differential equations xy(y2+1)dx +(x2y2-2)dy=0 by inspection
Q: 31) y +y, = 2cos(1), y, + y, = 0, y, (0) = 0, y,(0) = 1.
A:
Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…
A:
Q: 3) Find the volume of the solid under the plane z = x- y and above the region bounded by X = tan y,…
A: If is a bounded rectangle or simple region in the plane defined by and also by andis a nonnegative…
Q: 94 43 43 Evaluate XCOS Z dzdydx. and the sphere
A: Given, ∫1794∫043∫y43xcoszzdzdydx=
Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…
A: Given function to maximize is f(x,y,z)=4x+2y+z subject to x2+y+z2=1 we can write it as…
Q: 2.2 Let f be a function that admits continuous second partial derivatives, for which it is known…
A:
Q: If the sum of the co-efficients in the expansion of (a + b)" is 1024, then the greatest co-efficient…
A:
Q: Let f be a function admitting continuous second partial derivatives such that Vf(x, y) = (ax? + a?x,…
A:
Q: Let p be a prime such that p = 1 (mod 4). Prove that -lF, is a square in Fp.
A:
Q: Prove that l17 is the only prime number of the form n²- 64.
A: We have to prove that 17 is only prime number of the form n2−64. Since, n2−64=n+8n−8 Let for some…
Q: 1. Write the following function using unit step functions and then find its Laplace transform: 0 2.…
A:
Q: Suppose f(x) = (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum…
A:
Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…
A: The result follows from using the definition of the order and the definition of the Carmichael's…
Q: Determine (without solving the problem) an interval in which the solution of the given initial value…
A:
Q: Consider the change of variable u = xy and v = x - y and the integral (x² – y²) • ea³y-wy°dAgy Rey…
A: We have to change the variables using u= xy , v= x-y for given integral I=∫∫Rxy(x2-y2)ex2y-xy2dAxy
Q: f (x) = x³ + 2x² + 50x + 7
A:
Q: Suppose that a certain population has a growth rate that varies with time and that this population…
A: (a) The differential equation that satisfies the population is as follows: dydt=0.4+sinty4 We will…
Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…
A:
Q: d) Consider the weighted voting system [34: 10, 10, 10, 10, w]. Find all positive integers w which…
A: Here three P1, P2, P3 , and P5 can group together and reach the quota if the weight of P5 is 4
Q: f the sum of the co-efficients in the expansion of (a + b)" is 1024, then the greatest co-efficient…
A:
Q: Find inverse of the following matrix-: b' а A =
A:
Q: Squid Game (Sugar Honeycomb) The players are given a tin and upon opening they each have a…
A: Given, volume (V) = 71 cm3 rate (r) = 0.75 cm3sec We have to write differential equation dQdt that…
Step by step
Solved in 2 steps with 2 images