A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hour and can walk 4 miles per hour, where should the boat be landed in order to arrive at a town 15 miles down the shore from P in the least time? The boat should be landed miles down the shore from P. (Type an exact answer.)

Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievan...

A:

Q: Use the limit definition in finding/showing what is asked. 2. Given a function x3 – 2x2 if x < 2 if ...

A:

Q: 5. Simpson's and Trapezium rules 1. A car's speed is recorded at 10 second intervals. The following ...

A: We need to use Simpson's rule to find distance.

Q: cos? 2 2 dx sin -1 2

A:

Q: Find an equation of the tangent line to the graph of y x at the point where x e. .... The equation o...

A:

Q: - Trig Sub x5 dx (36x2 + 1)ž

A:

Q: Temperatures on Mars   The air temperature one chilly spring morning at your time-share condominium ...

A:

Q: Evaluate the given integral, choose the answer in the box 1/(t-1) 2x S(-1)^5(x-1) -2/(x-1)^2 2/(t-1)...

A:

Q: Find the area of the parallelogram that has u = 2i – 2j + k and v =j+3k as adjacent sides. %3D NOTE:...

A: We know that, the expression for the area of the parallelogram with adjacent sidesu→ &amp; v→. A=u→×...

Q: 2+ x, x lim g(x) c. g(2) < lim g(x) d. g(2) # lim g(x) X-2 X-2 X-2 X-2

A:

Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: Prove that lim (9x* - 25) = -9

A:

Q: s² -a Find the value of r' at s = 2a if r(s)= %3D s* +a“ Your answer

A:

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: DO NOT include spaces in between characters. * Compute g'(2) if g(x) =10**-2* 16 Your answer

A:

Q: Instructions for forms of answers in differential equation problems: For second order DEs, the roots...

A:

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx

Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan 20...

A:

Q: rtoo Е. re dx स०२२

A:

Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an...

A:

Q: Let a = ci + jand b = 4i + 36j. Find c so that a and b are orthogonal. C = i

A:

Q: Describe all numbers e that are at a distance of from the number 7. Express this using absolute valu...

A: We know that the distance d between two numbers a and b equal the absolute value of their difference...

Q: x²sinx Y = (1+x²)²/1+x

A:

Q: х+3if x1 6. lim x→1 f(x) f(x)

A:

Q: FIND THE AREA OF REFION BOUNDED 3 J=メリ=8,*o Xs. end

A:

Q: B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of ...

A:

Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

A:

Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

A:

Q: DO NOT include spaces in between characters. * 7 Given y=(3x +6)| 2x– Find the value y' at x = 4

A: Given:       y=3x2+62x-14 Differentiating on both sides with respect to x.      y'=ddx3x2+62x-14 App...

Q: Find the directional derivative of the function at the given point in the direction of the vector v....

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A:

Q: 1. S dg =

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Indefinite Integral Determine f(x) given that f'(x) = 6x³ – 20x +x² + 9 B.Determine f(x) given that ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person'...

A:

Q: Fg(x) = 1 Vx-1

A:

Q: Solve the following initial value problem. ye) -2y"+ y' 4 +8x e*; y(0)= y'(0) = 0, y"(0)= 1 The solu...

A:

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after th...

A: Here, V =70000+70000 e-0.47t

Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

A:

Q: Q3 : Evaluate the following integral. X4V9-x2

A:

Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 3...

A:

Q: [(x²-4)(12z–z')' dz

A: Given,            ∫z2-412z-z34dz

Q: 8 x2 = 4y and y %3D x2+4

A: We have to find the area bounded by the curves.

Q: Prove by cases that 25x² + 35x is an even integer whenever 5x-7 is an integer. Note here that the va...

A: Apply the condition for 5x-7 to be an integer case by case. 

Q: For a given number n, to create a mask for trailing zeros, we can use the expression: (n & – n) – 1

A: For a given number n, to create a mask for trailing zeros, we can use the expression: (n &amp; - n) ...

Q: - Trig Sub 1 dx V9 – x²

A:

Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A: