Verify the identity. csc 0- sin 0= cot 0 cos 0 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. csc 0- sin 0 D- sine cot 0 cos 0

Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A:

Q: The temperature at point (x, y, z) is given by T(x,y, z) = xy + sin(yz). Find the direction from…

A:

Q: Find the first four terms of the binomial series for the given function. -2 1+ 10 OA 1-맛+ 100 250 1…

A:

Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

A:

Q: Consider the following. f(x) x(x2 – 11x + 35) - g(x) = x²

A:

Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in…

A:

Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

A:

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 9t: r(t) = e"i+ etj

A: r(t)=e9t i +e-t jr'(t)=9e9t i -e-t j||r'(t)||=81 e18t+e-2tr''(t)=81e9t i +e-t…

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 14tj – 6VEk) dt 3 A+…

A:

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of…

A:

Q: Determine the following limit. lim (3x - 6x° + 1) Select the correct choice below and, if necessary,…

A: Limits of the function: The limit of a function is a key notion in calculus and analysis that…

Q: Find curl (6z i + 7x j+ 3y k). curl(6z i+ 7x j + 3y k) = ( i )i + ( i j+( i )k

A:

Q: Determine the following limit at infinity. lim (- 12x-8) Select the correct choice below and, if…

A:

Q: Find the particular solution determined by the given condition. 3) y' = 7 ; y = 20 when x = 1 A) y =…

A:

Q: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [-3,4] a. Locate…

A: Given problem:- f(x) =  4x5 -5x4 -40x3 +5 To find:- a). Critical points  b) Use the First Derivative…

Q: The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3y* = 0. a) Calculate the value of p.…

A: Since point , P(p,1) lies on the given curve, therefore this point will satisfy the curve .Using…

Q: 17) Find the area of the serface genereted by revolving tue curr X> 3t, y=2t about fue x-Qx's on tue…

A:

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

A:

Q: Water is being poured at the rate of 2z m' /min into an inverted conical tank that is 12-meter deep…

A: We need to find rate of water leaking.

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.

Q: 2 en Does the series converge or diverge? 1+ e 2n n=1 Choose the correct answer below. O A. The…

A: ∑n=1∞ 2en1+e2n=2e1+e2, 2e21+e4, 2e31+e6This is not a geometric series; as there is nocommon ratio…

Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

A:

Q: Answer the questions for the following polar equation. 3 r 3= 3+10cos0 (a) Identify the conic as a…

A:

Q: e limit does not exist, enter DNE.)

A:

Q: x f(p)%3D5110-5p-0.3p" (A) p 15 (C) p 80 (B) p 70

A: Given :     Elasticity

Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

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

Q: Find the volume of the solid that is bounded by the surfaces z = 152 - x2 - y?, z = 0, x = 0, y = 0…

A:

Q: Suppose y (t) = 3t-6 is the velocity of an object Part A) What is the total displacement of the…

A:

Q: Find the speed of the curve F(t) = (4cos (t), 4 sin(t), 6t) at t = 3 %3| Speed =

A: Consider the curve  r(t)=<4cost2,4sint2,6t>

Q: | tan° xsec* xdx 6 2. Use 1 + tan² x = sec? x to evaluate

A: Solution:

Q: r+2 limz-2 x2 +7x+10

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t? +7 1 lim t++0 6t2 + 7't (?, ?)

A:

Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

A:

Q: Refer to the graph below. Find the consumer surplus for the demand function, D, when x= 20. Hint:…

A: We have to find the consumer surplus for the demand

Q: While standing on a bridge 30.0m above the ground, you drop a stone from rest. When the stone has…

A:

Q: For the function f(x) ex x>0 a) Determine the coordinates of all critical points. b) Use the first…

A:

Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

A:

Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

A:

Q: Question 12 of 12 -/1 E iew Policies urrent Attempt in Progress In a time of t seconds, a particle…

A:

Q: cos x sinx dx- 3 COS

A:

Q: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

A:

Q: ASAP

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: 8. Describe the type of indeterminate form. Evaluate the limit using L'Hôpital's Rule if necessary.…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: If a company sells a product for exactly the price they are willing to sell the product for, then...

A: answer is in next step

Q: Use the substitution u = x + 14 to find the following indefinite integral. Check your answer by…

A: