For the function f whose graph is given, state the following. (If the limit is infinite, enter' or, as appropriate. If the limit does not otherwise exist, enter DNE.) y -2 N/W X -6 -4 2 2 6 (a) lim x)

Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Using integrating factor make equation exact

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A:

Q: Given a second order differential equation dx 3t 2x = e³t dt where t = 0, x = -5. Using Laplace…

A:

Q: Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3…

A: The given graph is:

Q: x = e¹0t y = t³ Which integral gives the arc length of the curve over the interval from t = a a to t…

A:

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = -9, f(x) = +...…

A: Topic = Series

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem for this function f and…

A: This question can be solved using the concept of mean value theorem.

Q: Differentiate the function. P(w) = 2w² - 6w + 4 W

A: Given function is differentiated.

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

A:

Q: (b) (cos(x) (2x + 3))'

A:

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

Q: 62. y" +9y=e* cosx

A:

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 subject to the initial conditions y(0) = 1 and…

A:

Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…

A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.

Q: 6 By Separation of variables, Solve the following 5 PDES :- ²4. ²4 0 o 2 dt² dx² u(e,t) = u(5,t) =6…

A: Given

Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.

Q: 24. What does it mean to say that dV is an exact differential?

A: Solution

Q: Question 3 Determine L-1 ¹ s²+3s-7 (S-1) (s²+2).

A:

Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Use derivative of square root of function.

Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Given problem:- 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a…

Q: Let R be the region enclosed by the polar curve r (0) = 1 + 2 cos² (0) where 0 ≤ 0 ≤ Y R 1 Which…

A: Consider the region R

Q: let f(x)=x2 -9y  and  g(x)= √x. find the domain of (f o g)(x) and h(x)= 1 / (f o g)(x)

A: Let f(x)=x2 -9x and g(x)= √x. Now,        (f o g)(x)=fx                =x2-9x                =x-9x…

Q: Function h is graphed. h -4 -3 -2 L y 4 3+ 2- 1 -1- -2+ -3- 12 3 4 Find h(2) da. Give an exact…

A: This question can be solved using the concept of area under curve.

Q: Evaluate the following Integral using integration by parts X CSC X S - dx CSCrCOU

A: Use by parts method of integration

Q: Determine the roots of y"" - 4y" + 3y = 0

A:

Q: X = 2t-2 - y = ln(t³) Which integral gives the arc length of the curve over the interval from t = 2…

A:

Q: For each of the following ,find fx fy fxx fy fyx and fxy f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹e². 3.…

A:

Q: let f(x)=x +9x-1 if (f o g)(x)=x+9√x-1. find g(x)

A:

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x2 and the…

A:

Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

A:

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

A:

Q: 9. dx 5-4x-x²

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: Water is flowing into a conical vessel 18cm deep and having a diameter of 10cm across the top. If…

A: We have to find the rate of volume.

Q: ♥ 82u = cos x cosy, u(x₁#) = X ₂ U (π, y) = 2 cosy 2 axdy Ans: u(x,y) = sinx sing + 2/2² + 2 cosy -…

A:

Q: Consider the substitution 1 u(x) y(x)* What is ? Use the substitution to obtain a 1st-order linear…

A: Explanation of the answer is as follows

Q: II. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 4 D: 6 -3 (8 9 3 323 32 2)

A: In this question we have to find cofactor of 6.

Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

A:

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: 1. Determine the equation of the tangent line to the graph of f(a) = [² pr+sin r = x = 0. cos (t² +…

A: Above equation of tangent is given.

Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 3x² – x³, (1, 2) -…

A:

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: Above question is solved.

Q: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed…

A:

Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

A:

Q: Compute T₂(x) at x = 0.8 for y = et and use a calculator to compute the error |eª — T₂(x)| at x =…

A: We have to find T2(x) and error.

Q: y"" - 4y" + 3y = 0

A:

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2), 35544 2

A:

Q: 2cos^2(?) sin3? dx

A: