Given: cos () cos () – sin() sin() (유)x 1. Identify the Trig identity that corresponds with the expression above. 2. Simplify and find the exact value.

Q: The period of y = cos x is units. 4 7I

A: We can find the period as below

Q: The curve y = [In (x + 4)]² has horizontal tangent line at the point(s)

A:

Q: 10 -dx (x – 1)(x² + 9)

A: According to question,Given integral,Let I = ∫10x-1x2 + 9dx

Q: a. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find ...

A: Here we have to use the basic sum and difference Angle formulae of trigonometric ratio

Q: Sx² – 4, iƒ x > 1 -x – 1, if x < 1’ continuous at x = 1. If the function is discontinuous, state the...

A:

Q: 1.11 The solutions of the differential equation dy a - x dx B+ yx + dx² give most of the important d...

A: Solution of  given question is written in below steps.

Q: Using the definition of the derivative, find f'(x). Then find f'(-4), f'(0), and f'(4) whenm f(x) = ...

A: We can find the derivative as below.

Q: 1 tX

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take deriva...

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3, a...

A:

Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

A:

Q: a) Describe the graph of the curve y - 8x - 6y - 23 = (0 and find the equation axis, tangent at vert...

A:

Q: Complete the square: 2? + 3z+ = (x+ 22 – 5x+ = (r- = (x+ %3D

A: Given that:                                

Q: the iner tind the area bound and the y-axir in the Firt quadrant.

A:

Q: Sketch and shade the region enclosed between the curves y = cos x , y = sin x , x = 0, and x = π. Dr...

A:

Q: Given the function g(r)=2r^4−8r^3−10r^2: its g-intercept is  its r-intercepts are

A: Given the query is to g and r intercepts.q

Q: 28. The line segment joining (0,7) and (-6,-3) is a diameter.

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t - 9t + 19, wh...

A: Given: s=t2-9t+19 For (a), (i) [3, 4] Average velocity = s(4)-s(3)4-3=-1-11=-2. (ii) [3.5, 4] Averag...

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 1. a. v...

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 7 V 1- sin(x) dx

A: Evaluating the indefinite integral

Q: The displacement (in me line is given by the equa measured in seconds. Fi t = a, t = 1, t = 2, and

A: given s = 1t2velocity of the particle is given by v(t) = dsdt

Q: SOLVE: dv 500

A:

Q: Use the properties of limits to help decide whether the limit exists. If the lim 5x Bm 4x-3 Select t...

A:

Q: Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

A:

Q: the following. Simplify your answer and use exact values. f' (x) f''(x) f''(x) :

A:

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: 2. Annual sales of sparkling water in the U.S. in the period 1993 - 2003 could be approximated by S(...

A:

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from th...

A: Given that, There is a hemisphere, Radius (R) = 5 m Length (L) = 2 m density of water (d) = 1000 kg/...

Q: x² - 3x + 2 17. dx x +1

A:

Q: 11. In a sine wave: a) At what angle, or angles, is the amplitude increasing at its fastest rate? b)...

A:

Q: sin(ln a) dx

A:

Q: Select the function that is odd. f(x) = 3sin(x) f(x) = 3sin 2(x) f(x) = 3sin(x) + 3cos(x) f(x) =...

A:

Q: One diagonal of a parallelogram is 80.5 m. It makes an ' respectively, with the sides. Find the leng...

A:

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx

Q: Determine whether the given function is a solution to the given differential equation. y = sin x +x°...

A:

Q: Answer the following question on separate paper. Make sure to show all supporting work. Also, for qu...

A:

Q: 12) A right circular cone has a fixed height of 7 units. Find the rate of change of its volume V wit...

A: NOTE: Refresh your page if you can't see any equations. . the volume of the right circular cone is g...

Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: Find the extrema and inflection points of f(p) = 900 p - 30 p2 using derivatives.

A:

Q: Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-...

A: Our Aim is to show that the points (2,-1), (0,1) and (2,3) are the verticesof a right-angled triangl...

Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: Solve the equation for 0 <0 < 2 . cos 0 – v2 cos 0 = 2 cos 0 sin 0 + cos 0

A: Do not cancell the common terms on both sides.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: The given integral is: I=∫x3x2+36dx

Q: For x^2 tan(y)+6x=12 Find the equation of the tangent line at (2,0) and find the equation of the nor...

A:

Q: x2 y2 Q1) Write the equation of the ellipse+ = 1 shifted 4 units to the left and 3 - 16 9. units up....

A: NOTE: Refresh your page if you can't see any equations. . the graph of the given ellipse shited lef...

Q: find an equation of the curve that satisfies (dy)/(dx)=45 yx^14 and whose y-intercept is 2 y(x) =

A:

Q: give ure denvative of the following. Complete a. f(x) = 6 Select the correct choice below and fill i...

A: The detailed solution is given below Thank you 

Q: Using separation of variables, solve the differential equation, e^(-y)sec(x)-(dy/dx)cos(x)=0

A:

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cose -21/29 -20/29 21/...

A: As x= r cosθ  and  y=r sin(θ), then          r = x2+y2    and  θ=tan-1yx