1 -4 7 1 3 -7 sin30 cos20 -2 = 0

Q: 20) The figure below gives the US consumption of petroleum over a 10 year period. Estimate the…

A: The given chart is  To find: the average consumption .

Q: Solve the systems of equation by graphing a) 1 y = -x-3 }=;*-1 10 8 6 4 2+ -10 -8 -6 -4 -2 -2 -4 -6…

A:

Q: In this function, we're going to minimise the function f(x, y) = x² + y² subject to the constraint…

A:

Q: Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13…

A:

Q: Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (°F)…

A: Note: according to our guidelines we can answer only first three subparts

Q: 8. a n n+al |a b a-d+g b-e+h c-f+ i| If d 41-7771 e f = 3, find d e f h i h i

A:

Q: The general solution of (D³-4D²)y=0 is A y=C₁ + C₂x + c3e-4x B y=C₁ + C₂x + c3e4x C D y=c₁+ c₂e²x +…

A: To find the general solution of  D3-4D2y=0

Q: Let A and B be square matrices of same order. Prov nomials of AB and BA are same. Do AB and BA have

A:

Q: (D² + 1)y = sec² x csc x

A: Solve the differential equation by the method of variation of parameters : D2+1y=sec2xcscx

Q: dx xy+3x-y-3 dy xy-2x+4y-8

A:

Q: b) Explain what is meant by the internal rate of return (IRR) in the context of project appraisal.…

A: The internal rate of return is the discount rate that sets the present value of all cash inflows of…

Q: Assume an improper integral produces the given limit. Evaluate. 2x e 1 - lim x-0 5x

A: We need to find , limx→0 e2x - 15x limx→0 e2x - 15x =15 limx→0 e2x - 1x Now , this is 00 form, We…

Q: Let Zg = {0,1,2,3,4,5,6,7}. Denote by xg the operation "multiplication modulo 8" where a xg b is the…

A:

Q: ax-a O cos (0) cos (4) O cos (0) sin (4) O None of the choices O sin (0) cos (4) O sin (0) sin (4)

A: Option 1 is correct

Q: (a) Prove that if m ₹ N, then the function f(x) = xm is continuous on R.

A: We have to prove that, the function f(x) = xm,   m∈ℕ  is continuous on ℝ.

Q: 0.5 + -1 -0.25 0.5

A:

Q: Which of the following methods can be applied to find a particular solution yp y"+y=cos(e-x)? A…

A: y''+y=cos(e-x)

Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

A:

Q: Determine the general parametric solution of the following Lagrange and Clairaut differential…

A:

Q: Which cross-section absolutely cannot be used when solving the problem in the lesson? a. Disks b.…

A:

Q: Ten ostriches were introduced to the Zoobic Safari Adventure Park 10 years ago. To date, let us say…

A: As per the question we are given a model of ostrich population as : Initial population : N0 = 10…

Q: Question 34 Use the following diagram to answer the questions below. Price D Quantity Fill in the…

A: Look at graph and make observations about answer

Q: 4. Let Z5 = {0,1,2,3,4}. 4a) Find the value of x that makes (2+5) X5 4 =_1 in Z5 true. Complete the…

A: Given :  ℤ5 = 0, 1, 2, 3, 4. To find : (i) The value of x in  ℤ5  that satisfies  (2 +5 x) ×5 4 = 1.…

Q: Find the volume of the solid bounded above by the parabolic cylinder z= 2 - x^2 and below by the…

A: Here we can use polar coordinates to find the volume. Using polar coordinates volume is given by…

Q: Create a table wherein it shows your score or your • class interval • class width • frequency •…

A: To create a table where a data is shown with the frequency, class interval and cumulative frequency.

Q: 【D³ + 3D² + 3D + 2)y = 0

A: Solution:

Q: The general solution of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

A:

Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

A:

Q: The graph of 3[H(t2) - H(t - 3)] is given by:

A:

Q: dªy Using the reduction of order method, find the general solution of the differential equation dx4…

A:

Q: plution satisfying the given initial conditions. y'' - 2y' - 3y = 6; y(0) = 1, y'(0) = 15 -X 3x. Yc…

A: Given that ,   y'' - 2y' - 3y=6 ; y(0)=1, y'(0)=15  A complementary solution is            yc= c1e-x…

Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: 2. Consider the surface f(x, y) = x² + y² = x² + 2xy - y² - a) Find all critical points of f (Hint,…

A: As we know a saddle point or minimax point is a point on the surface of the graph of a function…

Q: Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is…

A: Solution:-

Q: N (z−2)²

A: Follow the steps.

Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

A:

Q: "+y = sec³ x

A:

Q: Let W be the subspace of R4 spanned by {u₁ = (1, 1, 1, 1), u2 = (2, 4, 1, 5), u3 (2, 0, 4,0)). Using…

A: The solution is given as

Q: 1. A proposition is a declarative statement. 2. Every false proposition is a contradiction. 3. If…

A: A contradiction is a compounded proposition that is always false

Q: What is the radial lines a and ß of the equation r = sin 30 ? α = 0 and в= A B. a = α = 0 and ³= π/3…

A: Solution:-  Options (b) is correct

Q: Given the differential equation: dy y +1= dx x with initial conditions y = 1 at x = 2.0, produce a…

A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: 7.) John borrowed P4500 cash from his friend. His friend's condition is that he must pay his debt in…

A:

Q: 1. 3. Determine [[e=²*² +25-+²] kt [[e+cos (√2+)] [[ext_H(t-a)]

A: Used Formulae :  L{eat} = 1/(s-a)  L{1} = 1/s L{tn} = n!/sn+1  Shifting theorem of laplace transform…

Q: Q1/A/ Solve the following. Choose five only In(x+2) 1. f dx 2x+4 2. f x² ex dx 3. f tan³x dx 12 4. S…

A:

Q: From a table inside a room with current temperature of 26 degrees Celsius, a left over Fried Chicken…

A: Here we will use Newton's rate of cooling If temperature of  body after time t is T then rate of…

Q: Evaluate. [x²si c²sin x dx

A:

Q: 5. Find H(s) = 19 s+2 1 3s-5 + 7 $5

A:

Q: Initially 56 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

A:

Q: x=r-s, y= Q2/ Find ow/or if w= (x+y+z)³, cos(r+s), z = sin(r + s) at the point (r, s) = (0,1)

A: Solution:

Q: We can apply General Power Formula of Integration on which of the following integrals? A /…

A: