Find the value of the constant b that makes the following function continuous on (-∞, ∞). (3x - 4 b = Now draw a graph of f. f(x) = -8x+b if x ≤ 10 if x > 10

Q: Construct a 3 x 3 nonzero matrix A such that the vector -3 is a solution of Ax A Bug Bounty = = 0.

A: The given vector is [1 -3 -1].

Q: H2. Calculate the first time the solution of ty(4-y) 1+t reaches y = 3.99 and determine lim,→∞ y(t).…

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. y = 8x³, 2 6² (0 0≤x≤2 dx

A:

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A: Given series:- ∑n=0∞1n+1

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have given equations: 4x+y2=32 and y=x. Now plotting the graph of the given equations we…

Q: f(-2+h)-f(-2) lim h→0 h where f(x) = 8x² + 6. t

A:

Q: Given that f(x) = x² - 13x and g(x) = x + 13, find (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x)g(x)=…

A:

Q: Find the limits in a) through c) below for the function f(x) = OA. a) Select the correct choice…

A: We have to find the limit

Q: 3) Given P₁ :x-y-z = | P₁ = 2+1³4 +7=2 Find the parametrization of the intersection of the two…

A:

Q: Find a value of k for which g(x) is continuous everywhere: g(x) = - X- kx 9 3 : x 3 : x = 3

A:

Q: g(b) Use the Substitution Formula, f(g(x))•g'(x) dx = S f(u) du where g(x) = u, to evaluate the…

A: Given,             ∫-ln3305ex1+e2xdx

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: Find the limit: a) lim x → 5 6) lim X->-6+ c) lim X->>4 d) lim 3X X-5 5x+1 x+6 3X x³-64 6 X-> X²+2

A: The given limit is: a). limx→5-3xx-5

Q: - the following graphs to answer the questions. Domain, range, increasing and decreasing should be…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: x3 x² + 1 dx

A: Given, ∫x3(1 + x2)dx

Q: lowing absolute value inequality. |2x+6|<18 ral notation.

A:

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: The given integral: ∫24sinttdt   ; n=4We need to approximate the given integral using the…

Q: Find the volume of the parallelepiped determined by the vectors a = , b = , and c = .

A: Given query is to find volume of the parallelepiped

Q: Verify the following relations: a) n=1 1 Σ(n-1)³ n=2

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 30y² lim (x,y) →→→ (0,…

A: lim x,  y→0,  0x4-30y2x2+15y2

Q: Find a . b. a = (-3,-1), b = (-1,8)

A:

Q: 3. (1+4e3x)³ e3x dx

A:

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 22 cm…

A:

Q: Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate…

A: INTRODUCTION Coordinates in mathematics are the system of assigning a number or set of numbers to a…

Q: In each of the following, find the equation of the circle (in center-radius form) satisfying the…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: From the given curves the bounded region is as shown below:     Use the cylindrical shell method to…

Q: Find a formula for the nth term of the sequence where a is calculated directly from n. 4 6 8 10 12 F…

A:

Q: The graph shows the height h (in ft) of a roller coaster t seconds after the ride starts. Height…

A:

Q: Suppose f(x) = 13 - x² (a) Find the slope of the tangent line to the graph y = f(x)x= -1 when lim…

A:

Q: dy Find the general solution of (2²+1) + 3x³y = 6re dx

A:

Q: Use the following graph of a function f to determine y to the nearest integer for y=f(3). y=0 Af(x)

A: Given data Graph of a function,

Q: Find an equation of the tangent plane at the given point: F(r, s) = 2r³-2/3, 1 80.5 (1,1) 2=

A: Given equation of surface is F(r,s)=2r31s0.5-21s3 and the point (1,1).

Q: Find the average value have of the function h on the given interval. h(u) = n(u), [1,6] U h₂ ave =

A:

Q: How many years would it take your money to double: (a) At 10% interest compounded yearly.  years.…

A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

Q: Solve the initial value problem using auxillary equation 22. y" + 2y' +17y=0; y(0) = 1, y'(0) = -1

A:

Q: y² + y + x² − 2x = 5 O 2.23 O -1 05 O 1

A: Given :y2+y+x2-2x=5

Q: Show that the function lim f(x, y) = (x,y) → (0,0) y=x f(x, y) does not have a limit at (0,0) by…

A:

Q: If cos(t) =(4)/(7) and t is in the 4th quadrant, find sin(t).

A:

Q: Solve 2ayy' 4x² + 3y² 42

A:

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t=−1. x = 8t,…

A: NOTE: Refresh your page if you can't see any equations. . the slope of the tangent line already…

Q: Given that f(x) = 9x + 7 and g(x) = 1 - x², calculate (a) f(g(-4))= (b) g(f(-4))=

A:

Q: -10 МА 5 10 2 X

A: we need to find the domain and range from the graph.

Q: a. For linear functions, the slope of any secant line always equals the slope of any tangent line.…

A:

Q: a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the…

A:

Q: Using the limit definition of the derivative, find every value x where the function y = 1/ √x has a…

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

A:

Q: Evaluate the indicated limit. (Note: your answer should be in numerical form only and not in words)…

A:

Q: Use the graph of the function g shown to estimate the function value g(2.7). Ау

A:

Q: 4 5g fg 25 y.fig 14841551-800 = 8.162-8.02 0.142 = 0.1 2 decimal Sig. fig what does that mean? I got…

A: We will use concept of significant figure and rounding off.

Q: (a) Find the parameterized equations of the line passing through the points P(-2, 4, 5) and Q(2,…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…