there is a point of discontinuity for the function f(x) = (6,28) (6,0) 4x²-28x+24 X-6 what is that point of disco

Q: 6. Find the general solution of the differential equation given below ex-y y = y(0) = 0

A:

Q: The roots of 5 - x = x + 2 2x-3 can be determined using which of the following? O the x-intercepts…

A: Given that 5-x=x+22x-3

Q: J. The edge of a cube is growing at a rate of 6 inches per second at the instant when the edge of…

A: Let side of the cube is denoted by a Given dadt = +6insec

Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-2- b) lim g(x) = x--2+…

A:

Q: E +5x² - 6x = e pass -

A:

Q: -4 lim x→-2 x+2

A:

Q: 2. Write composite function y = (2x³ + x + 3)5 in the form of y = f(u) and u = g(x).

A:

Q: Evaluate the expression -3 ln(e² + 1) - 5. Show each step in the calculation, using the correct…

A:

Q: QUESTION 23 Differentiate with respect to x: 3 f(x) = (3x²2cosx) ³ O f'(x) = 54x5+24sin ²x O…

A: Topic = Derivative  As per guidelines , At a time only one question can be answered out of multiple…

Q: 4 2 2 27 1 3 2 1 -2 -1 0-1 -2 -2 -3 0 ich one of the statements below is true about the matrix A? A…

A: The given matrix is                      A = 42221321-2-10-1-2-2-30 The characteristics equation of…

Q: what is the laplace transform of e-7t

A:

Q: b. Use the graph to determine if r' (1) and r'(8) are positive or negative.

A:

Q: 10) Use implicit differentiation to find dy dx 9 given sin(xy) = 5x5

A:

Q: If f(x) = 19 + 5e* + f'(x) = 5e +ẩx 3x7. 5. Select one: O True O False Give your reasons 31/3 then

A: Given So,       f'(x)=19+5ex+2x5'         =19' +5ex' +2x5'          =0+5ex-25x65         =5ex-25x65…

Q: -2 0 -2 4. a) P(t) = [p(x)dx, where p(x) is given by the graph above. Determine the t -…

A: 4) a) Pt=∫0tpxdx, where px given in the graph. We have to find the local minimum of Pt. b) We have…

Q: A rectangular billboard 9 feet in height stands in a field so that its bottom is 13 feet above the…

A:

Q: find parametric equations for the tangent line to the curve of the intersection of the following two…

A: The answer is given in step 2 and step 3

Q: Given that y(x) = f(g(x)) and g(3) = 1, g'(3) = 2, f'(1) = -3, compute y' (3). None of these 8 2 0-6…

A:

Q: he length of a rectangle is increasing at a rate of 6cm/s and its width is increasing at a rate of…

A:

Q: 2. Suppose that f(x) = ((x² + x·5).5+5)5 when x ≥ 0. Find df (x)/dx. df dre = -5 ((x²+x²)² + x^²)=²*…

A:

Q: Which function represents the graph shown below? -18 -16 -14 -12 -10 -3 4-6 -10- 16- 10- 10- 6 2. 10…

A:

Q: Evaluate 5 16 2 els dydxdz

A:

Q: Suppose ²₁3f (x) dx = 36, f₁ f(x)dx = 5, ₂ g(x) dx = -7, ¹h(x) dx = 3. Find the value of the…

A: Given:- ∫-123fxdx=36,∫-10fxdx=5,∫20gxdx=-7,∫0-1hxdx=3

Q: For each description, create an equation: (a) for logarithmic decay where the base is 10 (b) for…

A:

Q: y = x³ - 3x + 6 + -3 relative minima -2 1 Juri (x, y) = horizontal points of inflection 10 4 3 2 1…

A: To find the critical points of a function y=f(x) ,set f '(x) =0 and then solve for x

Q: B/2 S 19/4 $ So Sacco TS/4 6 p³ sint 0 sing dp de dp Đ

A:

Q: To save for a future expenditure, $8,500 is deposited into an account that pays annual interest…

A:

Q: Problem 4 (a) Find an equation of the tangent(s) to the curve at the given point x = t³ t, y = e²t +…

A: To solve the following problem

Q: I. SOLVE THE FOLLOWING D.E. 1.) [D³ + 6D² + 11D +6] (yx) = 0

A:

Q: The domain of the function f(x, y) = sin¯¹(x + y) is the set of all points in the xy-plane.

A:

Q: Find the derivative of the given expression. Answer f'(x) = ƒ(x) – 16√xln(5x – 6x²) Tables Keybo

A:

Q: of lf" (x) [0,2] f(x)=√1+x² HINT: Much like the previous question except that you are focussing only…

A:

Q: (a) For the region enclosed by the following curves y = √x - 1 + 1, y = 0, x = 1, (1) Sketch the…

A:

Q: (a) Calculate the following antiderivatives: (c) 3 - dx X (0) / -3 = -3 sin x + 6 cos x dx = -Te dx…

A:

Q: If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a…

A:

Q: Use the graph of f(x) = below to find a number 8 such that f (x) -0.25 <0.1 whenever 0 < x-4 < 8. A…

A:

Q: Suppose that there are initially 75 bacteria in a colony and after 3 hours, there are 300 bacteria…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine where the function​ f(x) is continuous.   f(x)=sqrt x−2

A:

Q: r3 (6) ² x √ T² T 0 √x² + 16 dx

A: The given integral ∫03xx2+16dx. We have to evaluate this integral.

Q: 4) Find the x-coordinates for all points of discontinuity for f(x) = x - 3 x² - 10x + 21

A:

Q: A baseball team plays in a stadium that holds 52000 spectators. With the ticket price at $12 the…

A: we need to find out the demand function and the value of x where revenue is maximum.

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 9 cm. If the area of…

A: We can solve the given problem by using the second derivative test.

Q: d Let f have the property that f(x) dax sin x that f(0) = 2. f(1) = 0 and f(-1) = 1. Find the value…

A:

Q: Suppose that f is defined everywhere and x = -2 and x = 1 are the only critical numbers for f. If f"…

A: To determine whether the given statement is true or not

Q: Show that g: R → R defined by g(x) = (x+3)³. (a) Prove that g is bijective. (b) Find the inverse g-¹…

A: to prove  g is bijective ,prove g is one one and onto.

Q: 1 7. Define Taylor's Theorem and use it to find a second order approxima- tion to (1.1)¹/4. Suppre…

A: To solve the following problem

Q: 4b. If w= In(4xy) dw cos(2yz - 3), x = log(t), y = 4et² and z = sin(t³ - 1). Find dt

A: Let's find partial differential of given function.

Q: 4. 2 1+ 3 + 5 +...+ (2n-1) = n²

A:

Q: 2x + 2x = sin(1) Tmifinl Triicl conditione int m

A: To solve the differential equation using Laplace transform: Using Laplace inverse formula…

Q: 1 [² [²" - dydz dr I

A: