Assume that a is an angle in standard position whose terminal side contains the point (15, 8). Find the exact values of sin a and cos a sin a =(Type a simplified fraction.)

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilome...

A:

Q: 5. The depth of water in a port is modelled by the function d(t) = pcosqt + 7.5, for 0 <t < 12, wher...

A:

Q: 1 + X = 8 1sys 2 4y2'

A:

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

Q: Find the derivative. R= (s² + 7)ª R'=

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

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrang...

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

Q: Given Cost and Revenue functions C(q) = q° - 8q + 53q + 5000 and R(q) = - 3q + 2400q, what is the ma...

A: We are asked to find the marginal cost

Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

A:

Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

A:

Q: diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metr...

A: As per our guidelines, we are supposed to answer only one question at a time.   Given data are: Diam...

Q: Determine the coefficient of Cot(x) when we evaluate [[cot(x)– csc(x)]?dx_ A -2 1 B C None of the gi...

A:

Q: Find the equation of the tangent line to the graph of y = 6" at x 1. NOTE: Round the slope to one de...

A: y=6x The point is at x=1: At x=1, y=61=6 So, the point is (1,6)

Q: Calculate the first four terms of the sequence, starting with n = 1. bị = -5 1 bn = bn-1 + bn–1 (Giv...

A:

Q: dy 2х dx e2y

A: Follow the procedure given below.

Q: -2x (1-3€ dx e

A:

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: A particle moves according to a law of motion s = f(t),t20, where t is measured in seconds and s in ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: Solve  (x+1)(dy/dx) +y = ln(x) y(1)=0

A: We will solve the differential equation. 

Q: Find the angle between the vectors a = (4, 4, -2) and b = (5, -3, 3). Solution Since |al = V42 + 42 ...

A: Given:    a=4,4,-2    b=5,-3,3 The angle between two vectors is given by           cosθ=a·bab

Q: Consider the following initial value problem: y' =xy3(1+x2)-1/2 ,      y(0)=1 (a) Find the soluti...

A:

Q: Given Cost and Revenue functions C(q) = q° - 11q +54q+ 5000 and R(q) = - 3q + 2500q, at what product...

A: Given query is to find the production level where marginal revenue is $2260.

Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

Q: 2. A cylindrical can is to have a volume of 20 cm³. Find the radius and height of the can that will ...

A: The second derivative test : Let f(x) be the given function and she be the critical point of f. If ...

Q: day tidket for a for children as least G than 13 years old, A day tickei for Students at least 3 tha...

A: f(x) is the cost of ticket (in dollar) and x is the age of children (in years). x is the input and f...

Q: Find the centroid of the region bounded by the given curves. y = x2,      x = y2

A:

Q: dy 1 dx sec?y

A:

Q: Assume that a snowball is in the shape of a sphere. If a snowball melts so that its surface area dec...

A: topic - application of derivatives

Q: A company produces computers. The demand equation for this computer is given by p(g)= -5q + 6500. If...

A: Given problem:- A company produces computers. The demand equation for this computer is given by p(q)...

Q: sin 3x 4- lim sin Sx

A: Given query is to find the valueof the indicated limit.

Q: Solve the following DE, using Separable method. 1.50 point y'In ly+ x*y 0.

A:

Q: sin2(x) + sin(x) cos2(x) To evaluate the -dx using basic formula of integration (without using subst...

A:

Q: Use the function value to find the indicated trigonometric value in the specified quadrant. Function...

A: Topic = Trigonometric ratios

Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x² an...

A: Find derivative using product rule and composition of functions rule

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconcl...

A:

Q: By using the graph of function y= sinx, which is below, graph one 2(x+). = sin period of function y ...

A: This question is based on Sinusoidal function.

Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

A: from the given graph

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.

Q: Solve for the differential equation, show detailed solution. xy' = y e^(x/y) - x

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

A:

Q: 3. lim f(x) = -2, lim f(x) = 2 and f(2) = 0 4. lim f(x) = +∞, lim f(x) = -00 X-3- *- 2+ Y 3+

A:

Q: Given Cost and Revenue functions C(q) = q° - 11q + 55q + 5000 and R(q) = - 3q +2600q, what is the ma...

A:

Q: Find the quotient and remainder +3x-215 divided by ナセーッメ When x+3. you may use 2en how elther Poiyno...

A:

Q: sec? x 2. csc2 x = sec2 x-1

A:

Q: Operations on Functions Using Tables of Values Use the tables for f(x) and g(x) to evaluate the expr...

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

Q: y=2 The y-intercept of the graph is . Give answer as a number, not an ordered pair.

A: topic -y intercept of the graph y intercept-  y coordinate of a point, where graph cuts y axis

Q: V1-x? 1 x2 + 1 1 X.

A: Follow the procedure given below.

Q: The cost, in dollars, of producing x units of a certain item is given by C (x) = 15x - 4VE – 9. Find...

A:

Q: b. Find y", given y = e¯" In x.

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Curve is given at point (0,1/2).We will find the equation of the tangent line to the curve.Below fin...

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...

A: Let the length of the rectangle be:  l  cm Let the width of the rectangle be:  w  cm