Use the quotient rule to show the trigonometric derivative of csc x = -csc x cot x (rewrite csc x in terms of cosine and then use quotient rule)

Q: Simplify 1 + sin(t) 1 + csc(t) to a single trig function.

A: Put, csc(t) = 1/sin(t)

Q: If f(x) = sin(x¹), find f'(x) Find f'(4) Question Help: Video Submit Question Jump to Answer

A: Solve for the derivative

Q: 24

A:

Q: 9. Determine the area of the shaded shapes in Figure 12.48. Explain your reasoning. Figure 12.48…

A: Given data:-

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A:

Q: Determine algebraically whether the given function is even, odd, or neither. h(x) = 5x 5x +8

A:

Q: Find dy/dx. dy dx x=√t y = 4-t

A: To find the derivative of given function.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed.) S cos(2x)…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use integration by parts to evaluate the integral: fix sin(x)dr

A:

Q: I. Determine whether the given DE is exact or not. Do not solve the differential equation. 3. y…

A:

Q: # HI ⠀⠀ E 1 -20- OK # E 1 # I I 11

A: We need to find out the solution set.

Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number s.  S=…

A: We have to find the point x,y on the unit circle associated with S=-π3

Q: The 2000 population of a city was 678,000 and was increasing at a rate of 1.51% each year. At that…

A: Population growth formula: A = Pert   1,000,000 = 678000e.0151t 1000/678 = e.0151t ln(1000/678) =…

Q: Use f(x) = 5x - 4 and g(x) = 3x² to evaluate the expression. (a) (fof)(x) (b) (g o g)(x) Need Help?…

A:

Q: E(k) = h2k2 2maz 1 - a2 272 k2

A: solution  d2Edk2=h2ma2{1-3a2k2π2}

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 9."…

A:

Q: f(x) = √√3x² + 5x + 3

A:

Q: Determine y'(0) when y = arcsin

A: Given query is to find the derivative.

Q: If f(x) = 3 sec (5x), find f'(x). Find f'(4). Question Help: Video Submit Question Jump to Answer

A:

Q: 2. Solve d²y for x = u² + 1 and y = 3u³ - 3u in terms of the parameter u. dx²

A:

Q: Question 8 Textbook -4 Let f(x) = - 32³√2+3/2 f'(x) = Question Help: Video Videos [+] Submit…

A:

Q: Calculate for the standard eq of parabola which opens left or right Vertex (4,4) Passes through (3,…

A:

Q: Find the solution of the given initial value problem, using the integrating factor method. y′ + 2y…

A:

Q: Find d da In(x) + 7* e4x³ - e -

A: d dxlnx+7xe4x3-e

Q: Calculate the standard for eq of the ellipse Foci (3,2) and (3,-4) L of Major axis = 10

A:

Q: If f(x) = (x² + 5x + 5)², then f'(x) = f'(1) = Question Help: Video

A: f'(x)=4x3+30x2+170 f'(1)=204

Q: Solve for the angle 0 where 0 ≤ 0≤ 2. sin 20-√2 cos 0 = 0

A: Topic:- trigonometry ratios

Q: 2 a₁= =, r= 5 min S₂ = ? 9

A: We have to calculate nth term or sum.

Q: If f(x) = 4x² - 7x + 4, find f'(-2). Use this to find the equation of the tangent line to the…

A:

Q: Let f(x) = f'(x)= 1 x-4 Find f'(x).

A: I have done solution step by step in detail....go through the solution

Q: By partial fraction decomposition 25s = A(s² + 11) + (Bs + C)(s - 6) 2 - 5s = As² + 11A + Bs² - 6Bs…

A: Given Equation:- 2-5s=As2+11+Bs+Cs-6

Q: The general solution of + y tan x = sec x is dy dx A B (C) (D) y (sin x 1) = C y sec x = cotx + C y…

A:

Q: Find f'(x). f(x) = 17x 5x416

A: Solve for derivative

Q: Evaluate the definite integral. 9 [² t² ln(2t)dt

A:

Q: The surface is: no graph an elliptic paraboloid an ellipsoid a point a cone x²+y²+z²-4x-4z=0

A: To determine the name of the surface represented by the equation, x2+y2+z2-4x-4z=0.

Q: af What is the dy of f(x, y) = tan (x²y³ + 2xy)?

A: The given function is; f(x,y)=tan(x2y3+2xy).

Q: Given the equation below, find dy dx 3x6 (21-4a³y) x12 + 2y³ y = dy dx -18x² + 2x¹²y + y² : - 15…

A:

Q: Simplify completely. Assume all variables represent positive values. x² #yº a) Write your answer…

A:

Q: Suppose f(x) = 4(x - 9)-¹/2. (a) Find f'(x). f'(x) = X X # (b) Find an equation for the line tangent…

A:

Q: The height of a cylinder is increasing at a constant rate of 9 inches per second. The volume remains…

A:

Q: Solve sec(4x) - 4 = 0 for the four smallest positive solutions x = Give your answers accurate to at…

A: sec4x-4=0

Q: 2) Calculate the following exactly, showing your work as shown in the examples on Blackboard (not…

A:

Q: Find g'(x) for g(x)= 1 tan (3x²)

A:

Q: Write the Range of the following functions A) {(2,4), (5,3), (-3,7), (-2,9)} B) {(1,2), (-4,12),…

A: To determine range of given functions.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: To find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

Q: Use basic identities to simplify sin3(x)+cos2(x) sin(x)

A:

Q: pl= (x+4)³²-2 Vertex = (-4,-2) what is the domain and what is the largest the function is - Use…

A: The given function is P(x)= (x+4)2 -2 1) What are the domain and range? 2) What is the largest open…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Concavity of function

Q: The Integrating Factor of the differential equation dy dx + y tan x = sec x is

A: