Determine constants A and B such that the given piecewise function is continuous for all x. -4 if x < -1 f(x) = if – 1< x < 2 if x > 2 Ах + 5 -x? + Bx + 13 Round your answers to one decimal place, if necessary. A = В —

Q: company produces a spherical object of radius 23 centimeters. A hole of radius 5 centimeters if…

A: We

Q: Use the limit laws to evaluate the limit. lim + - 2 7. X-7 Select the correct choice below and, if…

A:

Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8

Q: 4. Given the function f(x) = x2 - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

A: IVT:-  For a continuous function f defined on the interval a,b. Then for any value…

Q: Find the area of the largest circle that can be cut from a triangle whose sides are 10 cm, 18 cm,…

A:

Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

A:

Q: Write the integral in terms of u and du. Then evaluate. 12 sec (x) tan (x) dx, u = tan(x) (Use…

A: Given: I=∫12sec2xtan2xdx   ...1   We know that the Power rule: ∫xndx=xn+1n+1+C And ddxtanx=sec2x

Q: For the graph to the right, describe the composition of transformations that maps ACFB to ADTQ.…

A: Here we need to recognise the correct option and then fill the box with appropriate scale factor.

Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

A:

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 4 8. 1 1 + 4 + 4…

A: Solve the following

Q: SEATWORK Solve two problems; one from each number. Submit clear and upright photos of your…

A: In the question it is asked to solve one from each question. We will solve the part a of each…

Q: A quadratic function f is given. f(x) = x2 + 2x - 1 (a) Express f in standard form. f(x) =

A: f(x)=x2+2x-1a) Standard form of f is       f(x)=x2+2x+1-1-1f(x)=(x+1)2-2Therefore standard form…

Q: Sketch the region bounded by the graphs of y2=4x and 2x−y=12. kindly solve this with a solution

A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A:

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: Find the moment of inertia of the first quadrant area bounded by y=4ax and x-a with respect to…

A:

Q: Cos x (1) What is f(0) if | f(t)dt = x cos x? sin r (i) –1 (ii) 0 (iii) 1 (iv) 2 (v) 3

A:

Q: a, Find the points of intersection of the curves y= x² +6 and y= 5x. %3D X, = and x2= %3D b, Find…

A:

Q: The distance that a free falling object falls is directly proportional to the square of the time it…

A:

Q: 23n (n!)3 30. (3n)!

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

A: Gradient of w=xtany+z at 12, 13, -11

Q: If the equation of the tangent line to the graph of the function f(x) at the point (3,-6) is 2y + 5x…

A:

Q: Calculus III is A. Multi-operational Calculus O B. Momentum Calculus O C. Multi-dimensional Calculus…

A: The course included parametric equation,polar coordinates, vectors ,sequences, Taylor expansion, and…

Q: な-リ x'y = x'y,

A:

Q: Evaluate the expression under the given conditions. 3 sin(0/2); tan(0): O in Quadrant IV (assume 0 <…

A:

Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

A:

Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A:

Q: 2.) y' 2y =y"; y= 3 when x=0

A: Given differential equation y' -2y=y2

Q: Find the exact arc length of the curve over the stated interval. y = 5x/2 – 3, from x = 0 to z = 1…

A:

Q: Prove AX (BUC) - (Ax B) U (AxC)

A:

Q: Determine the extreme values of the ff. functions. f(x) = x^3 -5x^2-8x on [-2,5] f(x) = x^2 + 3 on…

A:

Q: Match the indicated conditions with one of the graphs (A)-(D) shown below. 13. f'(x) >0 and f'"(x) >…

A:

Q: Simplify the following: 72-8(7¹) + 5(7) +49(7-2).

A: This is a problem related to mathematical algebra. Based on the general formula we will answer the…

Q: Evaluate the integral R xe*y dA, where R = [0,4] × [0, 3]. (Use symbolic notation and fractions…

A:

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of…

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

Q: Find f. f"(x) = 48x2 + 2x + 6, f(1) = 5, f'(1) = -4 %3D %3D f(x) = %3D

A:

Q: Consider the table below for lim (f(n). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000 Step…

A: Find your answer below

Q: Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

A:

Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) II (x² – y²) dy…

A: To evaluate the iterated integral.∫02∫05x2-y2 dy dx

Q: What could be the few terms of an + 1 = 2an? а. 4,16,64,256 b. 8,16,32,64 с. 2,4,6,8 d.…

A:

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph off…

A:

Q: The formula A = 24.2 e 0.0786t models the population of a US state, A, in millions, t years after…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Find the area of the region bounded by y = 6x-x? y=2x

A:

Q: Evaluate (2х — у) dx + (х + 3у) dy. Jc C: arc on y = x>1² from (0, 0) to (4, 8)

A:

Q: At the end of an advertising campaign, weekly sales declined according to the a. The sales at the…

A:

Q: Find the volume of an object enclosed by parabola z = x2 +y2 and plane z = a2. How do I find my…

A: We have to find the volume of an object by parabola

Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

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

Q: If h(x) is continuous on [-3, 7] and 7 30 5h(x)dx : %3D what is the average value of the function…

A:

Q: The logistic equation dP P(a – bP), a > 0, b> 0, is dt

A:

Q: Q/ Find the root of the function by (Itration mathad) 2. Xo =o accu=o.0ol

A: