A window has the shape of a parabola above and a circular arc below. Find the area of the window. 12.4 ft- 10.8 ft Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the x-axis and the top of the circle. Write the equation of the circle. Write the equation of the parabola. Find the area of the window. 5.09 ft ft² feet

Q: Write the expression without absolute value symbols. (Simplify your answer completely.) |n² - 101…

A:

Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

A:

Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100

Q: Let f(v) = V v+17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: A point x=c is  a critical point of the function f(x) if f(c) exists and if  f'(c) =0 or f'(c)…

Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

A:

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: Consider h(t)= 3t+2+4t² Determine the intervals on which h is decreasing. Oh is decreasing on: Oh is…

A:

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec² (9t) tan²…

A:

Q: Use the second degree Taylor polynomial for x at x = 8 to estimate 10. Round your answer to four…

A:

Q: If f(x) is a linear function, f(-2) = 4, and f(3) = 2, find an equation for f(x) f(x) =

A:

Q: Solve the given initial-value problem. Y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -5, y'(0) = 1

A: y'(0)=1

Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: 1+x² What is the slope of the tangent to the curve y-- 2x when x = 3?

A: y=1+x22x

Q: For the functions f(x)=x^2-6x+10 and g(x)=5, determine the following information. Vertex of…

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

A:

Q: question e,f

A:

Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A: r=eθ,3π4≤θ≤3π2

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x² +…

A: By using the implicit differentiation to find an equation of the tangent line to theellipse defined…

Q: ROBLEM No. 1. Solve the IVP: y"+6y-7y=0, subject to the initial conditions: y(0)=5; y '(0)= -3.

A: Given Differential equation is as follows

Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

A:

Q: The equation has an unbounded solution. y′′ + 4y = sin x true or

A:

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. }} dy…

A: To find:-

Q: Find the general solution of the first-order linear equation dy dx + 2y = e²x

A:

Q: Use the sum and difference formulas to prove the following identities: 1. sin(x - 1) = sin x 2.…

A: 1.sin⁡(x−π)=−sin⁡x

Q: Use the parametric curve, and given value for the parameter, to answer the following question. Use…

A:

Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

Q: f has ---Select--- 2 (Order your answers so the x-coordinates are in order from least to greatest.)…

A: Absolute maxima :Absolute maximum is the highest point or value of a function within its entire…

Q: Suppose f (x, y) =x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

A:

Q: Prob #3 A 25in Find the area of the triangle below. 75° B 37° с

A: Given that a triangle ABC . Here     Angle A = 75°     Angle B = 37°    Side AB = 25 in.

Q: A mutual fund is currently valued at $70 per share and its value per share is increasing at a rate…

A:

Q: Consider the function f(x, y) = x²y+y³ — 27y. f has f has a maximum a minimum f has a saddle f has…

A:

Q: Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 8 -tan(x) tan…

A:

Q: Which of the following is/are signified by lim f(x) = ∞? x→a The limit exists and equals infinity.…

A:

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square base = x cmLet height of box = y cm

Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

A:

Q: Consider the following. x = e-5t, y = e5t (a) Eliminate the parameter to find a Cartesian equation…

A: Consider the following.To eliminate the parameter to find a Cartesian equation of the curve.

Q: An account earns an APR of 4.7% compounded as often as imaginable ("compounded continuously"). The…

A: The given rate is, r=4.7%=0.047 compounded continuously.For the continuous compound, the annual…

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A:

Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

A:

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A:

Q: The vectors (8,-12, 16) and (8, 12, 5) are orthogonal. Select one: True O False

A:

Q: Given g(x)= x² +2 , find all asymptotes of the graph; then draw the graph, showing asymptotes as…

A:

Q: What are the critical points of f(x, y) = x² – 3xy — 1? (0,0) (1,1) (0,0) and (1,1) (1,-1) (1,1) and…

A:

Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

A:

Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

A: I=∫e10xcos⁡xdx

Q: Consider the following parametric curve. x = et - 4t, y = y = 8et/2, 0≤t≤ 2

A: x=et−4t,y=8et/2,0≤t≤2

Q: Differentiate the following: a) y = ln(5x) (b) y = In In(³) (c) y = In(x³)

A: As per guidelines , At a time only three sub-parts of a question can be answered.Please repost for…