The height y (in feet) of a ball thrown by a child is 1 y = - -x² + 6x + 3 12 where is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? 3 4 feet feet (b) What is the maximum height of the ball? 99 (c) How far from the child does the ball strike the ground? Round your answers to the nearest 0.01. feet

Q: Use the following graph of y = f(x) to graph each function g. A -1 3 4 (a) g(x) = f(x) - 1 (b) g(x)…

A: We know that, g(x)= f(-x) is reflection across y-axis. g(x)= -f(x) is reflection across x-axis.…

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A: Given, R(x)= 520x-0.02x² Taking first derivative for marginal revenue function we have, R'(x)=…

Q: 5.x²=3(y-c)

A:

Q: Complete the missing ones: (those highlighted ones) Integrate: [ tan5 3x sec6 3x dx [ tan³ 3x sec 3x…

A:

Q: Find the area of the surface generated when y² = 12x is revolved about the x- axis from x = 0 to x =…

A: Given curve,y2 = 12xRevolved about x-axis from x=0 to x=3.

Q: Solve the given initial-value problem. y(x) = 4y" - 4y' 3y = 0, y(0) = 1, y'(0) = 3

A:

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W,(1,0) WŁ(1,0) = u(1,0) = -1, u,(1, 0) = −5, ut(1,0) = -7…

A:

Q: 3. For the following telescoping series, find a formula for the nth term of the sequence of partial…

A:

Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

A:

Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

A:

Q: What is Part C's answer, it's wrong. Please fix it.

A:

Q: We are given the following homogenous differential equation and pair of solutions on the given…

A: Here is the solution:

Q: An (D²-2D +1) y = x e sinx X Ans, y tết xếể xsinx-2 cosx = + e

A:

Q: Σ (5tan (k+1)-Stan 'k) K=1 • Sn= a. Stan '(n+1)-Stan-'1 b. Stan'n-Stan"" c. tan'(n+1) - tan¹2 d.…

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is of the form dy…

A:

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

A:

Q: The given family of functions is the general solution of the differential equation on the indicated…

A:

Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

A:

Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

A:

Q: X -4 -3 -2 -1 0 123 2 3 4 Slope of the Tangent Rate of Change (+/-) Local Max/Min/ Inflection pt.

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1,…

A:

Q: 리 +81²+16= 0

A: Given equation is λ4 + 8λ2 + 16 =0  , we have to solve it .

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given |u. (vx w)| to determine the…

A: This is a vector problem

Q: Find the area of the surface generated by revolving the curve about the given axis. (Round your…

A: Solve the following

Q: Find the inverse LaPlace transform F(s) = 5s 2 s² +9

A:

Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1<x<1

Q: - 169 = 19.2 2 + 60%, yo) =y& =0 =ўс -4X у + -on and 4х 4X Ans: Y= 22ë+ +24xе - Че -

A:

Q: lim x approaches 0 (e3x-3x-1)/x2

A:

Q: □ Solve the following ODES by Undetermined Coeff. ● 4X y - 16 y = 19.2 e + 60 e ₂ y(a) = Y(u) = 4X…

A: To find out the solution using undetermined coefficients.

Q: Find the area enclosed by the two polar graphs: 1 = 3 and r2 = 6 sin 0. ³/2 (2πT + 2π + 3√/3) A) 3…

A: To find the area enclosed by the polar graphs: r1=3 and r2=6 sin θ.

Q: F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz)

A:

Q: yP=A ex+Bex What y

A:

Q: Find the angle 9 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: 3 y = (²x2 ²³-6)9 Find day doc2

A: Solve the given differentiation

Q: nsider the given vector field. F(x, y, z) = 3xye²i+yze k (a) Find the curl of the vector field. curl…

A:

Q: Find parametric equations (not unique) for the following circle and give an interval for the…

A: Here we have to find the parametric equation of the required circle

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A:

Q: Use the Comparison Test to determine whether the series converges. sin²(n) n² Identify b, the series…

A:

Q: e 1 Determine the equation of the tangent line y=x=2( at x

A:

Q: me Determine the equation of t e 00 te tragen ܘܪܐܐܝ tangent line to y 3- 22+1 at 2:

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: 3 y = (x² +1) ² Find day dx ²

A:

Q: Activity no. 3. 1. At 2:00p.m., a thermometer reading is 80°F is taken outside where the air…

A:

Q: yP=A ex+Bex шкатур

A:

Q: A paper company needs to raise money for expansion. The CEO of the company issues a 10-year $1,000…

A: Given Face value of fond, F=$1000 Coupon priceC=$30 Interest rater=7% per anum Time period = 10…

Q: a) Find the derivative of each function. Show all your work and simplify the result completely. en…

A:

Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

Q: Solve the given initial-value problem. y(x) = y" + 49y = 0, y(0) = 3, y'(0) = -7

A: