The solution of a certain differential equation is of the form y(t) št = ae + bet, where a and b are constants. The solution has initial conditions y(0) 4 and y'(0) 1. Find the solution by using the initial conditions to get linear equations for a and b. y(t) =

Q: Determine the radius of curvature of the plane's path (km). Round off your answer to the nearest 2 D...

A: Given that:                              

Q: Demand Function Supply Function Equilibrium Price Equilibrium Quantity

A:

Q: 1 2) Evaluate n(n + 1)(n + 2) n=1 A B + n + 1 1 Hint: Find constants A, B and C such that п(п + 1)(п...

A: We are asked evaluate the given

Q: 41. Let f(x, y, z) =x?y+ y²z. Use the Chain Rule to calculate af/as and af/at (in terms of s and f),...

A: Since f is function of x, y and z.  For partial derivative f with respect to s and t we using chain ...

Q: The expression ā o (b o č) represents O a scalar something that does not make sense O a vector O a l...

A: I am attaching image so that you understand each and every step.

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

A:

Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

A:

Q: 2 The revenue equation (in hundreds of millions of dollars) for barley production in a certain count...

A:

Q: Use f(x) = 3x – 5 and g(x) = 4 – x² to evaluate the expression. %3D - (a) (f o f)(-1) (b) (g o g)(-1...

A:

Q: isometric version

A:

Q: Let P be the point (4,5,5) and Q be the point (2,5,3). What is the distance between P and Q? You may...

A:

Q: Let ū = (1,0, 2), ū = (0, –3, 5). Find the projection of i onto ū.

A:

Q: Evaluate sin (2r)dr

A: From formula Sin 3x = 3 Sin x - 4 Sin3 x - 4 Sin3 x = Sin 3x - 3 Sin x multiplying - both side 4 Sin...

Q: 12.) Given u= (1,2,-3) and v= (2,-1,1) find: F a.) b.) 2u- Sy c.) The angle between u and v. d.) uxv...

A:

Q: Solve for the derivative of the following trigonometric function 1. у 3D 6seс Зх 2. x = cos4t 3. у%3...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (x+1)dy = (2xe* - xy - 2y)dx 90° %3D 381 -IS3

A: First we find integrating factor then find particular integral. 

Q: . Find the equations of both lines that pass through the point (2, –3) and are tangent to the parabo...

A:

Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

A:

Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has ...

A:

Q: Evaluate the following functions. 1. lim x² • cos x 4

A:

Q: d b) [ 4e*(In x) ] dx

A:

Q: х —2 Га) lim x4-X-4 x- 3 (b) lim х+2 (х — 2)2

A:

Q: Give a possible formula for the function shown below.

A: NOTE: Refresh your page if you can't see any equations. . let the exponential function is in the for...

Q: evaluate the following limits by completing the table of values. write your answer to the nearest wh...

A: Follow the procedure given below.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = (1/3)x - (1/2)x? - ...

A:

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (T y.) 5x - 8y = 7 25x 40y = ...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: 4. A ball's position, in meters, as it travels every second is represented by the position function ...

A: The objective of the question is determine the velocity of the ball after 5 seconds.

Q: 7. y = x², y = 6x – 2x²

A:

Q: 10. limx- 2x+x- 713

A:

Q: Find the relative minimum of this function f (x,y) = 13 – 6x + z? + 4y+ y? A. f has a relative minim...

A:

Q: 8. Trace of (BA)²

A: Given :A=024-25-4431028336-43B=11121314125-201370214649  

Q: The cost function for a certain commodity is C(a) = 85 + 0.139 - 0.007q2 + 0.0008q3. (a) Find C'(100...

A:

Q: * 00 Your answer is partially correct. Whooping cough was thought to have been almost wiped out by v...

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

Q: Which of the following is logically equivalent to (uvb-vd_)A(uL b- v d) Auv b- v d) A (L vbv d)Auvbv...

A: Given logical statement is p∧q∧r ∨ p∧q∧¬r ∨ p∧¬q∧r ∨ p∧¬q∧¬r ∨ ¬p∧¬q∧r

Q: Which of the following differential equations can be classified as separable and exact?

A:

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the...

A: The given integration,        ∫arcsinlnxxdx

Q: FIND THE INDICATE ORM! DERIVATIVE IN TIS SIMPLIFIED (x2-3x)3 1. y= ; d'y/dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

A:

Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the depth...

A:

Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)...

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5 ;Y...

A:

Q: Compute the gradient of f(x, y) = 7 – 6x² – y" and evaluate it at the point (2, – 4). The gradient i...

A:

Q: 34. y = -x2 + 6x – 8, y = 0; about the x-axis %3D

A:

Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: Find the area of the region which is inside the polar curve r- 5 cos(0) and outside the curve r=4- 3...

A:

Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

A:

Q: Find the volume of the solid bounded by the paraboloid z=2 +x2 + (y - 2)2 and the planes z=1, x= -1,...

A: We are asked to find the volume.

Q: representing all ellipses having its centers at the origin and transverse axis x.

A:

Q: 1. The differential equation (3x +2xy +4y dx+(r' +8ry +18ydy = 0 is exact because %3D OM ON

A: