5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x) discontinuous, but the limit exists? Explain how you know. 6. The graph of the function f is shown in the figure. Which of the following statements about f is true? A) f(a)exists B) lim f(x)=2 C) lim f(x) = 1 x-b y D) lim f(x)= lim f(x) x-b x-b E) f is continuous at x=0 X 0

Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: For all positive x, (Hint: Think change of base!) A. log2x OB. 10842 = 1/ C. log24 = 2 10g4x 1og2x…

A:

Q: A meteor follows a trajectory r(t) = (8,6,5) +t(7,6, -2) km with t in seconds, near the surface of…

A: A meteor follows a trajectory rt=8,6,5+t7,6,-2

Q: 2 Rewrite cosx - sin³x cosx using only one trig function. Be sure to simplify.

A: To rewrite the expression cos x - sin2x × cos x ,using only one trigonometric function, we can…

Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

A:

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: The Equilibrium Price is $19 is wrong

A:

Q: Evaluate the following integral S 4x cos (5x) dx=

A:

Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

A:

Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

Q: The following equation shows how a population grows every year by 5%. P(n) = 2000(1.05)" Where P is…

A: P(n)=2000(1.05)n n=10 years

Q: Sketch the graph of the following parametric equations. a. x = 4, y = sint b. x = e^t, y = e^2t, t ∈…

A: a) x=4 ,y=sint b) x=et,y=e2t ,t∈[0,∞) c)x=3sint,y=4cost ,t∈0,pi

Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

A:

Q: Consider the table below for lim (f (h)). Step 2 of 2: Find lim (f (h)). h-673" h 672.5 672.9 672.99…

A:

Q: The vector k represents: O A vector of manitude 1000 in any direction. O A vector of magnitude one…

A:

Q: Consider the following graph of y = f(x): 20+ 0 -20 -404 -60€ I only Il only 6 Which of the…

A:

Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: J 3x ex dx

A: The given integral, ∫3xexdx. We have to solve this integral.

Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

A:

Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: Let ux² then dx = du 2x and so 2 2 du S ƒ ze²³d² = ƒ re² de S xe dr xe" 2x 0 0 1 S = (²-1) e" du

A:

Q: Suppose that R is the finite region bounded by f(x) = √ and g(x) = co/8 3

A:

Q: A runner is jogging at a constant speed of 3.6 miles per hour. a. Find the distance d that the…

A: The speed of a runner,  v = 3.6 miles per hour To determine:  (a) The distance d travelled by runner…

Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

A: To find the dot product of given line and find the line is parallel or not.

Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

A:

Q: Solve the given differential equation by separation of variables. dy xy + 7x-y-7 dx xy - 2x + 8y -…

A:

Q: t said to use x 4

A: To solve the questions.

Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

A:

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: It is given that the annual simple interest on the investment is 15%.  also the amount after 3…

Q: Let T denote the Nth trapezoidal approximation to 0 x³ dx.

A: Integration of x3dx limit from 0 to 1  We have to find T3  .i.e 3rd trapezoidal approximation

Q: f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

A:

Q: Evaluate the definite integral. 7 7 4 X X-5 X X-5 dx = dx

A: To evaluate the following definite integral. ∫47xx-5 dx

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

A:

Q: [b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of…

A: The given function is gx=x2+2x. To find the derivative at x=2 and the equation of tangent line at…

Q: What is the product of 5 and 1.0\sqrt(72) in simplest radical form? Please explain, correct answer…

A: 172 = 136*2           = 1(36)*2          =  162 now we rationalize it         = 162* 22         =…

Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If…

A: An expresso stand finds that its weekly profit is a function of the price, x,…

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R= [0,8] × [0, 6] X Submit Question…

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: We are given a differential equation: 7y'+y=0.We have to verify that the given function y=e-x/7 is…

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

A:

Q: A separable differential equation is a first-order differential equation that can be algebraically…

A: Separable differential equation = ?

Q: Evaluate the double integral changing to polar coordinates. ¹/1₁ (² (2x - y) dA, where R is the…

A:

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A:

Q: II. Find a vector parametrization and parametric equations for the line with the given description.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. Solve by separating variables and check y'= 4x³y with initial conditions_y(0) = 2…

A:

Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

A:

Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

A:

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

A: