. Three waka ama teams are on the uta (shore) waiting to race. These teams are imaginatively named A, B and C. Their starting positions are labeled on the graph below. 2 A 2 4 6 8 10 (a) What is the vector equation of the line team A must follow to get to point D in the bay? (b) What pre the parametric equations of the line team B must follow to get to point D? (c) What is the angle between the two lines in (a) and (b)? B. 6.

Q: The number of bacteria "N" present in a culture increases at a rate proportional to the number prese...

A: This question is based on application of differential equation.

Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² + 1...

A: Here we have to find the area of the region bounded by the two parabolas.

Q: Alternative Minimum Tax The alternative minimum tax was created in 1969 to prevent the very wealthy ...

A: Given that,  

Q: Write down the first derivative of each function in the space provided. Do NOT simplify your answers...

A: Solving questions 

Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

A:

Q: (3x²-5)°(4x³-7) 4. Find the derivative of f(x) DO NOT SIMPLIFY (first step only) (2x-1)*

A:

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below. ...

A: Given that Third order diffrancial equationy3+2y''-y'-2y=0,  y0=8,y'0=10,y''0=0Solution :y3+2y''-y'-...

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

A:

Q: Use A not d or h f(x)=6x®+3x²-7 f(x)=2x^+5x²-5 f(x)=9x³+7x>-16

A:

Q: If f(x) = 5 cot + 4, then find the value of f'(-9) is %3D -5 82 -4 82 V 82 00 V 82

A: Solve for the derivative

Q: Using Differentials In Exercises 29 and 30, use differentials and the graph of f to approximate (a) ...

A: Find your answer below 

Q: Find a 2×2 matrix A such that [0                    [-3 1]       and        -2] are eigenvectors ...

A: On solving this we will get-:

Q: Given the table of values below, find h'(1) if h(x) = g(x2 f(x)). f(x) f'(x) g(x) g' (x) 1 1 -3 -3 -...

A:

Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: Evaluate the integral of the following transcendental functions. dy 4) [- V9-49y² x² – 4 dx 5) [ x² ...

A: Topic:- application of integration Note :- as per our guideline if more than three subparts posted t...

Q: Evaluate the integral. w2 In(w) dw 1.

A:

Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at x = 4. %3D (Enter an ...

A:

Q: Evaluate the iterated integral by converting to polar coordinates. 81 sin(x? + y?) dy dx

A: First I have changed the integral into polar form and then evaluate it.Final solution is in the box.

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your a...

A: see below the answer and explanation

Q: A triangle has a base that is decreasing at a rate of 10 feet per hour with the height being held co...

A:

Q: A particle travels along a horizontal line according to the function s(t) = -3t° + t + 3t – 2 where ...

A: By differentiating the s(t) we get the velocity function

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

A:

Q: Do the functions y = cos5t and y, = sin5t constitute a fundamental set of solutions of the different...

A:

Q: A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 d(q) = 2...

A: This is a problem related to linear inequalities. Based on the given graph and inequalities we will ...

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

A: Given query is to find the series of the expression.

Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

A:

Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) = ...

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx cosec(-x...

Q: Q1) find I+ Cos X | 1) \im メー30 Sin x

A:

Q: 2. Find the equation of the plane tangent to the elliptic paraboloid z = point (1, 1,3). 2.a2 +y, at...

A: To find out the equation of the plane tangent to the elliptic paraboloid. 

Q: Sx² – 4x + 1, < 4 15-a, x 2 4 Evaluate the following limits for h(x)= and Justify your answer. %3D (...

A: This is a problem related to limit of the function. Function is called as continuous if it's right h...

Q: Find

A:

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

A:

Q: Given F(2) = 5, F'(2) = 1, F(3) 4, F'(3) = 4 and G(3) = 2, G' (3) = 2, G(4) = 6, G'(4) = 4, find eac...

A: Given that,F2=5, F'2=1, F3=4, F'3=4G3=2, G'3=2, G4=6, G'4=4

Q: Find tan x dx.

A:

Q: 2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)= f'c...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below 

Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

A:

Q: A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole wi...

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks awa...

Q: 2 Evaluate 2 dA where D is the region described by 0s ys 55 - x Integral is equal to : Enter an inte...

A:

Q: Differential equations ydx + (2x – ye")dy = 0 has an integrating factor µ(x, y) = x"y" for constants...

A:

Q: 4. A concert promoter has found that if she sells tickets for S50 each, she can sall 1200 tickets, a...

A: Explanation of the answer is as follows

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 3y2,   ...

A:

Q: Suppose " f(x)dx = 8, f(x)dx = 10, S, g(x)dx = 4 , S g(x)dx = 5 Find : f(x)dx =? f(x)dx =? | [3f(x) ...

A:

Q: Approximating Area with the Midpoint Rule In Exercises 67–72, use the Midpoint Rule with n = 4 to ap...

A: Given: f(x)=x2+3Interval:[0,2]n=4

Q: Determine whether the series is convergent orrdivergent. the exact test thhat you Use. 土2

A: ∑n=1∞ -1n1+2nn  

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

A: Given query is to find the average value of the function.

Q: Let y be defined implicitly by the equation 2x° + 5y- 4x – 7y = -2. dy at the point (1,0). dx Use im...

A:

Q: The position of a car traveling along a highway is given by the function s(t) = 21- 2t – 312 +6 wher...

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

Q: Which of the following is the general solution to the differential equation y(x³ – y)dx – x(x³ + y)d...

A: