Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

Q: 1 2e*dx where e = 2.7183 0.

A:

Q: Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the inter...

A:

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

A:

Q: cos(- 18x 14 COS Find the limit lim a Note: Give the exact answer but not the decimal approximation ...

A:

Q: For the following exercises, draw the region bounded by the curves. Then, use the disk method to fin...

A:

Q: Let f(x) = 8- 4x + 3x. Calculate the following values: f(a) =| f(a + h) =| f(a + h) - f(a) %3D %3D f...

A: Topic = Functions

Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

A: Our Aim is to find the following values of x which satisfy sin (x)=csc (x)on the domain of -2π, 2π.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Given query is to find the the limit of the expression.  

Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5, ...

A: We have to find tangent line

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: 6x 4) Find the average value of the function y on the interval from x = 1 to x = 5. x2+1 Hint-- the ...

A:

Q: y² (е2*) 3 Зу + х2

A:

Q: P3.B: At any point of a curve y =f(x), y" = 6x + 4. If the curve passes throurh the points (1, 0) an...

A: y"=6x+4auxilary eq m2=0⇒m=0,0y=(c1+c2x)e0x⇒ y=c1+c2xparticular integral PIPI= 6x+4f(D)=6x+4D2=1D1D(6...

Q: Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consum...

A: Hey, since there are multiple subparts posted, we will answer the first subpart as in b it asks to r...

Q: Question 7: Evaluate v² dv (Reimann Method)

A:

Q: Find dy/dx, if y=(x^2−2)^3 (2x+3)^4 dy/dx = _____

A:

Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

A:

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

A: Let's find. 

Q: Mass-Density Formula of a One-Dimensional Object. Given a thin rod along the x-axis over the interva...

A: We will find the mass. 

Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

A:

Q: Find the orthogonal trajectories of the given family of line y = Ce-mx with m held fixed. %3D

A: Given: y=Ce-mx

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

A:

Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = &lt;8,1,-4) and b = &lt;5,-2,1&gt;  Find , a+b, 4a+b, |a| , |a-b|

Q: 3- -3 -2 -1 1 2 3 Refer to the graph below to answer the following 5 questions. Record your answer t...

A: Part (a) As we see when x tends to -3, the left hand limit and the right hand limit of the function ...

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s + 0...

A: Given:- The stopping distance for an automobile (after applying the brakes) is approximately F(s) = ...

Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

Q: Vh+ 256 – 16 Find the limit, if it exists: (Do not use L'Hospital's rule) lim h

A:

Q: -3 -2 -1 1 2 3 g function is discontinuous at three values of x. List these values of t to largest. ...

A: Discontinouns

Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

A:

Q: Consider the double integral •3 cos (a2) dx dy 3y COS

A:

Q: 1. y'dx- (xy + y² }dy = 0 Let the substitution y=2; y= vx; dy =vdx+ xdv %3=

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: siven the differential equation dy + 3t dt + 4y = 2 e" cos(5t) di2 Determine the Characteristic Equa...

A: Given: t2d2ydt2+3tdydt+4y=2e9tcos5t

Q: A contour map is given for a function f. Use it to estimate f(2, 1) and f,(2, 1). Figure Description...

A:

Q: Find the antiderivative F(x) of f(x)= 3√x that satisfies F(1)=2

A: The given function, f(x)=x3

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: g(z) h(2) If f(z) = then f'1) -

A: Given that:f(x)=g(x)h(x)                        

Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

A:

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

A:

Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: use some property of limits.

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

A:

Q: A function f(x,y) is homogeneous of degree 7 in x and y if and only if, __________.

A: Given problem is solved below.

Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of i...

A:

Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.