11. f(x) = 2. h(x) 3. C(x) = = = 4. f(x) = 6. h(x) 7 f(x) = = 1 x+1 = -1 x+2 5 f(t)= t 5+2x 3+x x² x² +9 1 - 2t r2 – 5x+4 - x²-4 2 x²-4 x -

Q: 6) In a town whose population is 3500, a disease creates an epidemic. The number N of people…

A: Given that in a town whose population is 3500, a disease creates an epidemic. The number N of people…

Q: Find the transform of the given function by use of a table. f(t) = 3e-4t sin 5t A B C D E F (s) =…

A:

Q: y = 3x³ + 33x² + 57x Find the critical numbers. (Enter your answers as a comma-separated list. If an…

A:

Q: If y = x³ + 5x and dx dt dy dt = 9. Find when x = 5.

A: Find dydt

Q: Evaluate the integral [²(3x² - 2x + 5) d.

A: The given integral is 3x3-2x+5, limit from 0 to 2.

Q: 7) In recent years, many states have passed laws against smoking in public buildings. The total…

A: Solution: We have, N(t) =501+19e-0.4t

Q: Consider the following equations. f(x) = x² + 2 g(x) = x + 2 Sketch the region bounded by the graphs…

A:

Q: 2000 Find an exponential function of the form P(t) = yoekt to model the given data. 10) In 1985, the…

A:

Q: Determine whether the following lines intersect and, if so, the point of intersection. If they…

A: The lines first be written in parametric form.

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

A: Since, you have posted multiple questions, we are supposed to answer only first three parts. If you…

Q: substitution u = √x to evaluate √√√x+1 s X dx

A: The objective is to evaluate the integral.

Q: Find the vector component of v = (4, -1,7) along b = (4, 8, -8) and the vector component of v…

A: Vector component of v along b is given by  projbv=v,bb,bbVector component of v perpendicular to b is…

Q: 15. Use the Intermediate Value Theorem to find an interval of length containing a root of f(x) = x³…

A: Given that         f(x) = x3+2x+1

Q: A table of values for a one-to-one function is given. Find the indicated value. f-1(f-1(1)) = X f(x)…

A: find f-1(f-1(1))

Q: Find the transform of the given function by use of a table. f (t) = 5t sin (5t) + e-5t cos (t) A B…

A:

Q: Find the relative maxima of ƒ(x) = cos²(7x) on the interval (0, 1.795) by applying the First…

A: Given that       f(x) = cos2(7x)

Q: 8) Use a graphing calculator to predict what income the company should expect in its seventh year of…

A:

Q: ice in a population of 80 are with a disease to test a theory of epidemic spread which states that…

A: Given that rate of spread of disease in a population is jointly proportional to the number of…

Q: Let s(t) = 8t³ - 60t2 +96t be the equation of motion for a particle. Find a function for the…

A: As we know that; The expression for the velocity is; vt=dstdt The expression for the acceleration…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A:

Q: 1. Use the Second Derivatives Test to find all the relative extrema and saddle points of f(x, y) =…

A:

Q: Given the vector-valued functions е u(t) =e=³t+e=³t+ 3tk v(t) = 5ti 5t²j + 3k find d -(u(t) · v(t))…

A:

Q: Find the absolute extrema of the function on the interval [0, ∞). (If an answer does not exist,…

A: Given:       fx=9x+1  f'x=ddx9x+1           =9ddx1x+1            =-9x+12

Q: Decompose a = (4, -1,0) into parts parallel and perpendicular to b = (0, 1, 1). What is the…

A: I am attaching image so that you understand each and every step.

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A:

Q: Now find the exact value of that trigonometric function. sin (₁) =

A:

Q: f(x) = x3 = f(x + 4x) = f(x) Δε

A: See this solution in below.

Q: Find all critical numbers of the function ƒ(x) = sin²6x + cos6x¸ 0 < x < / Select one: a. b. C. O d.…

A:

Q: Let a = i +43 + 2k. Find ||a||. −

A: Given, a→=-i→+4j→+2k→

Q: Remaining Time: 00:38:21 Find the polar form re 0 for the complex number z = -√2+i√2 Give your…

A: The objective is to find r and theta.

Q: [ e³³ex+1 e-4x dx

A:

Q: Approximate the arc length of the graph of the function over the interval [0, 8] in three ways.…

A: This is a problem related to arc length of the function. Please find the procedure given below.

Q: The cost function, C(x), in dollars for producing x units is given by C(x)=0.17x²+25x+650.…

A:

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A:

Q: Find an equation of the normal line to the parabola y = x² - 6x + 4 that is parallel to the line x -…

A:

Q: . Fahrenheit and Celsius temperatures are related by the following equation: C = (F – 32). If 5 an…

A: An expertiment requires the temperature of a solution to be maintained within ±1.5°C.But, we only…

Q: The graph of a function g is given. -3 y 3 -3 3 X

A: Given Graph:-

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Find the instantaneous rate of change of f(x) = 2x² - 8x + O 16 O -8 -16 O-14 8x+1 when x = -4.

A:

Q: If z = (x + y)e*, x = 3t, find dz/dt using the chain rule. Assume the variables are restricted to…

A:

Q: Find the vertical asymptotes, if any, and the value of x corresponding to holes, if any, of the…

A:

Q: (d) Use the focus-directrix definition of an ellipse to show that if P = (x, y) is a point on the…

A: The equation of ellipse is: 4x225+4y29=1 write it in standard form: x2254+y294=1

Q: -6 -5 -4 -3 Ņ Using the graph of f(x)= -1 1 5 4 3 2 - O -1 -2 -3 بنا -4 11 ţ -6 2 3 4 5 6 X (x) ==…

A: The graph of the function is To evaluate: The value of f'(-2).

Q: Cπ/4 (a) √ (b) J (c) /1 - cos(4x) dx x² 2 (x² - 1) / dx dx S So (x + 1) (2² + 1) 0 (d) a sin(h x…

A:

Q: 4 3 + kxy¹ − 2x)dx + (3xy² - 20x²y3³)dy = 0

A: Topic:- differential equation

Q: lim y³-y y+1 y2 – 1

A: Evaluate the limit limy→1y3-yy2-1

Q: 9. Find the vertical and horizontal asymptotes of the following functions. (a) f(x) = 9x² - 4 2x2 X…

A: a) f(x)= (9x2-4)/(2x2-x) b) f(x)= (x2-3x4)/(x-1).

Q: Evaluate J√si 3 sin x cos³x dx. + C

A:

Q: use f and g given by the following tables of values. x f(x) −5 −1 −1 1 3 0 4 −5 x g(x) −5 2 −4…

A:

Q: Find all relative extrema of the function f(x)=x²-2.

A: