Suppose that the functions p and q are defined as follows. p(x)=x²+7 g(x)=√x+8 Find the following. = (1) (b. d) =(1) (dob) □ 0/6 Ś

Q: 5. A culture contains some bacteria, with the population increasing exponentially. The culture…

A: Let's find bacteria function.

Q: Find the slope of the graph of the function at the given point. (If an answer is undefined, enter…

A:

Q: го о 0 0 0 1200 0430 1 2 3 8

A:

Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

A:

Q: Is the following function homogenous or not? Prove your answer u = (x+y)¹/²

A:

Q: A = 2001 810 -536

A: We know that if det(A) =0 then matrix A is not invertible, Given A=200810-536

Q: Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a…

A: Given function, f(x)=2x+5               if x≤2kx+1                if x>2

Q: If lim 2 f(x) = L and lim 8(x) x-a x-a 4 =0, Calculate f(x)+x² g(x)+a lim: x-a

A:

Q: Show all necessary solutions and box all final answers. √√x² +11-3 x 4 3x²8x - 16° 1. Evaluate lim

A:

Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx+xydy=0

A: The given differential equation is; (x2e-y^2/x^2 -y2)dx + xydy=0.

Q: Urgent!

A: Given statement is as px:x2≥1

Q: Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number of…

A: see below the calculation with steps.

Q: 4x−³+2 3 8. S ² X - 2 - X dx

A: Given :∫4x-3+2x-2-xdx

Q: 15. Find f'(x) using the limit definition of the derivative. f(x)=√2-x

A: As we know from the definition of the derivative; The expression for the derivative of the function…

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: Q5/ A: Solve the following differential equation by Laplace : dy d²y dx² , dx = −6, y(0) = 3 dx 4y=…

A:

Q: Find where y is defined as a function of x implicitly by the equation below. y³ + 2x²y5 = 1 O Select…

A:

Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

A:

Q: B: Evaluate the following: r (4)r (²) 1-

A:

Q: 1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where…

A:

Q: 3. x²-3 2 x² + x ૨૨ IV 1

A: Please see the below picture for detailed solution.

Q: 2. Evaluate the following limit. * Tabular form 1 4 +1+ X lim x→-4 4+x

A:

Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

A:

Q: Eliminate A and B from the relation y = Ae²x + Bxe²x

A: Given:y=Ae2x+Bxe2x...................(1)

Q: If g(x) = sin(x) then g'(x) = = g'(5) =

A:

Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: Evaluate_lim_ (√√9x² − 5x +1 + 3x 3x). -

A:

Q: Find the horizontal asymptotes of g. g(t) = 10 13+ 4-1 (Give your answer as a comma-separated list…

A:

Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: Solve (a) dy +2 = 4x²; y(1) = 2, (b) av' - 4y = x, (c) dr = (d) dx + 2y cot a = csc a. = 3(y +…

A: Solution is given below:

Q: Given that f(x) = 6 -√²+1 and g(x) = x - 7, find: 2 a) (fog)(-2) b) (fog)(x) = 6-√(x-7)²+1

A:

Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

A:

Q: Find_lim (3x³ + √9x6 − 2x³ ) x118

A: If x → ∞ then y → 0 if x=1/y

Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: For the function: f(x) = 2x² - 2x - 1, find and simplify f(x) = f(a) x - a a. b. f(x +h)-f(x) h Get…

A:

Q: 8. Find z₁ if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t = 516

A:

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: 2. Given the graph of f(x), find: A. lim f(x) x4-8 B. lim f(x) x--2 c. f(6) 3 2 -12-10 -8 -6 -4 -2-1…

A:

Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: dy dx = 4x+xy² y-x²y

A: Topic:- differential equations

Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

A:

Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: Given that s(x) = - + x + 8 , what is the antiderivative of s(x)? (Do not include the constant C in…

A: We can find the answer as below.

Q: Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of…

A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: lim √x+15 cos (x + 4) X--4t

A:

Q: Find the domain of the function: f(x) = log4 (4-3x)

A: To find: The domain of the function: f(x)=log4(4-3x)

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

A:

Q: dentify and sketch the domain of f(x, y) = √x-y In (1 + y - x²)

A: solution is given below

Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

A: