-3x I. Given the function, f(x)=- x-2 Evaluate: ( lim f(x) lim f(x) a) x-2 lim f(x) , and 2 b) State whether it is continuous at x=2 or not. If not, state the type of discontinuity. c) State the interval(s) over which the function is continuous.

Q: Hiwer Consider theParallelepiped with sider: A= 3i+2j+k Bziti+2k czi+sj+3k;, thêns Find the Votumeof...

A:

Q: given that y = 2x^3 - 9x^2 + 12x + 2 = k has three solutions , kind the possible values of k

A:

Q: to polar coordinates turns into an integral So Lx²+ y² dxdy When converting the integral

A:

Q: If y=x'+2x- 3, find the approximate value of y when x = 2.01. The approximate value is Blank 1. The ...

A:

Q: Consider the following problem: "You and a friend go to dinner with four couples. Before dinner, eve...

A: Let us divide the given question into parts and start checking with the given options. Let's divide ...

Q: Consider the function g(x) = -3x^2 + x -2. (a) Sketch the function g(x) (b) Determine whether the ...

A:

Q: Use cylindrical coordinates to find exactly the volume of the solid. The solid that is bounded above...

A:

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A:

Q: . A rectangular field is to be fenced. A building is beside the field so there is no need for fencin...

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

Q: Evaluate the integral. e V64 – e2a dx +C

A: The solution for the above question is as shown below.

Q: Consider the following. y = x2 y = 6 - x 10 8 2- -2 6. (a) Find the area of the region by integratin...

A: This question is based on application of integration.

Q: Find the limit, if it exists, or show that it does not exist: x² – y? lim (x,y)→(1,1) x³ – y3 '

A: Explanation of the answer is as follows

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the re...

A:

Q: y V = 2n x(36 – x²) dx.

A:    2π·∫06x36-x2dx=2π18x2-x4406=2π18(36)-644=2π648-324=2π(324)=648π

Q: Find the area bounded by the curve y^2 + x - 4y = 5 and the y-axis. Input only the numerical value o...

A:

Q: Find the center of curvature of the curve y =-(e*+e) at (0, 1). (А) (0, 2) в) (1, 1) с) (0, 3) D (0,...

A:

Q: Fourth question: (find if any) the relationship between the following functions u(x,y) = x³ – y², v(...

A: We need to find relation between the function.

Q: Question 2 Find the value of c which satisfies the conclusion of Rolle's Theorem with the given f (x...

A: Topic  = Derivative    Rolle’s theorem states that if a function f is continous on the closed interv...

Q: Identify any horizontal or vertical asymptotes on the graph. State the domain of f.

A: We need to identify asymptotes and find domain.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral 7...

A: Using substitution method.

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists....

A:

Q: 10. 3 sin 30 cos Od0

A:

Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x² + y? a...

A:

Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round you...

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved ...

A:

Q: Find the function f (t ) given its Laplace transform F( s ). F(s)=(2s-5)/((s^(2)+2s+17)^(2))

A:

Q: 19 If f(x) = t dt then %3D f'(x) =

A: Given that  f(x) = ∫x19t4 dt  Here we have to find f'(x) .

Q: Employ the power method in approximating the dominant Eigen value and Eigen vector for the following...

A:

Q: Find the volume of the solid that results when the region enclosed by e8x x = 0, x = 8, and y = 0 is...

A: Find your answer below 

Q: W***** **** Explain why the integral is improper. xp 3. 2.5- 2- 1.5 0.5 12 14 101 4. 16. O At least ...

A: Topic = Integration   Improper integrals are definite integrals that cover an unbounded area. improp...

Q: Formulate the problem before any tank empties or overflows, but do not solve the equations. Notice w...

A: Formulation

Q: 8 V64-2 x Evaluate the iterated integral / / / xydydxdz. Do not round. Give the answer in the form o...

A:

Q: let f (x) = x3 – 12x3. Which of the following is equal to f'(x)? 3x*/5-6 А. 4x2/5 7x/5+6 В. 3x6/5 7x...

A: Topic = Derivative  As per guidelines   , At a time only three sub-parts of a question can be answer...

Q: Let one week's supply and demand functions for gasoline be given by p D(q) =297 --9. 4 p= S(q) =79, ...

A: Demand function: p= 297 - 5/3q Supply function: p = 4/3 q Equilibrium quantity will be derived by eq...

Q: QUESTION 2 (2) Given ff(2xy)da where R, is the region bounded by y= 0, x=1-y', and x=3-3y as shown i...

A: ∫∫R f(x,y)dA = ∫∫R f(x,y) dxdy  or ∫∫R f(x,y) dy dx.

Q: A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the ta...

A:

Q: Question 6 If y=x'+2x2- 3, find the approximate value of y when x = 2.01. The approximate value is B...

A:

Q: (a) f(x) = x² – 5 (b) f(x) = 2/(5x + 6)

A: Find out the domain and range of functions. 

Q: What is the result of the partial derivative 3(z² + y sin (z)) Select one: a. 2a + y * cos(x)

A:

Q: At which point is g(x) = 3x3 + 4x2 – 3x concave downward? (Refer to the graph of g(x) below.) 5- |(-...

A:

Q: Evaluate (x – 13)dA where Ris the region in the first quadrant enclosed between y = x and y = x'.

A:

Q: Find the function f (t ) given its Laplace transform F( s ). F(s)=(s^(2)-11s+6)/((s+2)(s-2)^(2))

A:

Q: Given f (x) =x-+2x – 1 and bracket of 0, 1. Find the value of c that satisfies its conclusion. The n...

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

A:

Q: A train starting at noon travels north at 40 mph. Another train starting from the same point at 2 PM...

A: I am going to solve the given problem by using some simple calculus to get the rquired result.

Q: Prove the theorem which state that every infinite subset of a countable set is countable.

A:

Q: dx -9 — За2 —12х d.

A: Given:  d) ∫x-9-3x2-12xdx       =∫x3-3x+232dx      substitute x=t-233     t=3x+23 →dt=3dx       =13∫...

Q: Considering the integration for evaluating the triple integral of a function F(x, y, z) over the reg...

A: Volume of the parallelepiped is given by

Q: Solve for the particular solution. Please provide a detailed sol'n... Do not shortcut. (x+x⁴+2x²y²+y...

A: Here, the given differential equation is: x+x4+2x2y2+y4dx+y dy=0

Q: If f(c) is a relative extremum value, what can be concluded about f'(c)? A. f'(c) = 0 B. f'(c) > 0 I...

A: Given , f(c) is relative extremum value and we need to calculate the value of f'(c) For any extremum...