3π Consider the function f(x) = 2 (cos (x − ³) + 1). Determine its amplitude, period, and midline. 2 Enter the exact answers. For the number 7, either choose from the bar at the top or type in Pi (with a capital P). Ampliude: A = Number Period: P = Midline: y = Number AY

Q: Find f'(x). f(x)= 4 Inx + e× − 5x² - f'(x) = [

A:

Q: Consider the following. y = x³ 3x + 6 10 9 8 4 f 3 1 2 -4 - 3 -2 -1 relative maxima relative minimal…

A: Given data÷ fx=x3-3x+6

Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

A:

Q: Evaluate the following indefinite integral fx-¹5/4 dx = = +C

A:

Q: Find f'(x). f(x) = 3x - In x² f'(x) =

A:

Q: 3 a. Find an equation for the line perpendicular to the tangent to the curve y = x - 16x + 4 at the…

A:

Q: 1. 2. 3. 4. 5. Differential Equation d5y dx5 y dx + (2xy + ln y )dy = 0 d³y +4x². + cos2x dx3 d³y…

A:

Q: 10 Find the derivative off with respect to x of f(x) = In x¹0. 10 The derivative off with respect to…

A: Given query is to find the derivative.

Q: Find f'(x). f(x) = − 15 In x + 7x² - 10 f'(x) =

A:

Q: Evaluate the following indefinite integral f(x + 10)-4dx = +C

A: The integral of above function is given below

Q: slve the following I.V.P do +=y=y² Y= da B.C = (P.G.) 56). 1 3

A: Given differential equation:- dydx+12y=y3

Q: Write the equation of the linear function whose graph satisfies the given conditions. Passes through…

A:

Q: A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet,…

A:

Q: If z = x² - xy + 3y2 and (x, y) changes from (2, -1) to (1.96, -0.95), compare the values of Az and…

A:

Q: Find the line that is tangent to the graph of the equation x^2+3y^3=4 at the point (1,1). Answer=…

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A:

Q: xy' - ( 1 + x ) y = xy2

A: xy' -1+xy=xy2

Q: If -5xy - y² - 3x³ dy that = dx = 1 and it is known 5y+9x² -5x-2y' find all coordinate points on the…

A: We are given a curve  -5xy-y2-3x3=1   and we are also given that dy/dx = (5y+9x2) /(-5x-2y)  ...A We…

Q: Problem #7: Evaluate the following integral SS 8x + y (5x-y) ln(5x-y) R Problem #7: dA where R is…

A: Here, R is the region bounded by the graphs y=5x-e2, y=5x-e6, y=-8x+9, y=-8x+6. Now, using the…

Q: Considere la función x² + x x³ - ¿cuál de los siguientes enunciados es cierto? f(x) = Seleccione…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, here x can be canceled…

Q: A cable TV company has 3,400 customers paying $90 each month. Suppose each $1 reduction in price…

A:

Q: 4. In what direction(s) is the directional derivative of f(x, y) = xy + x² at P(2, 3) equal to 0?

A:

Q: A particle moves along a line with a velocity v(t) = t-5, measured in meters per second. Find the…

A:

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. $2 per foot $6 per…

A: This question can be solved using the concept of maxima and minima.

Q: Find the derivative of the function. g'(x) = g(x) = '7x - [²3² = 1 0 [po: du √3x *7x 0 7x : [[ ^*…

A:

Q: A function and its graph are given. Use the second derivative to determine each of the following.…

A:

Q: Determine if the following function (image 1) is derivate at the indicated value. If so, indicate…

A: See the answer below

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) y -x² = + 2x on…

A:

Q: 1. Find the directional derivative of f(x, y, z) = x² + 2y² -32² at the point Po(2,-1,1) in the…

A: As per the company rules, we are supposed to answer only first question and rest can be reposted.

Q: If - xy + y = -4 then find point (2, 4) in simplest form. dy dx² at the

A: We need to find out the double derivative of the function at (2, 4).

Q: the answers are not showing can you send it again please?

A: A cable TV company has 3400 customers paying $90 each month. Suppose each $1 reduction in price…

Q: lim = AO BO .CO .DO

A: Given limt→1t2, t2-1t-1, 1-t

Q: g(x) = I² +9 sir<1 √x+9x si x ≥1

A:

Q: Find the domain f(x) = 1 - ex^2 / 1 - e1-x^2 *Please use handwriting not type script, i understand…

A: Find the domain f(x) = 1 - ex^2 / 1 - e1-x^2

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A:

Q: Mrs. Smith switches back and forth between her normal self, Alice, and her intimidate alternate…

A:

Q: Find the limit lim x →∞ (1.001)x

A: limx→∞1.001x

Q: Find f'(x). f(x) = In x² + 3 Inx f'(x) =

A: The objective is to find the derivative.

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = 4 x+7' CH Select the…

A: Use tangent concept

Q: The percentage y (of total personal consumption) an individual spends on food is approximately y =…

A:

Q: The city of Raleigh has 6900 registered voters. There are two candidates for city council in an…

A:

Q: The figure below shows the daily sales volume S as a function of time t since an ad campaign began.…

A: Given the graph of a function

Q: Let f(x, y) = x² - 4xy, r(t) = (cos(t), sin(t)). Use the Chain Rule to calculate f (r(t)) at the…

A: We have to find the derivativedf(r(t)dt of the function  f(x,y)=x2-4xy , r(t) = cost, sint , at t=π2

Q: A mathematical model for world population growth over short intervals is given by P = Poet, where Po…

A: Given the model P=P0ert , here P0=population at time t=0, r is continuous rate of growth, t is time…

Q: Find the exact value of sin sin 3 (3/2) 3

A: Given query is to write the exact value of sin(π/3).

Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = ax…

A:

Q: How large should n be to guarantee that the Simpsons Rule approximation to - 1 √ ( − x² – 12x³ —…

A: Given,

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Compute the directional derivative of the function goxy)=sin(x(3x - 4y)) at the point P(1.-3) in the…

A: The function is given by gx, y = sinπ3x-4y The point on the function is x, y = 1,-3 Th unit vector,…