Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A:

Q: (2 f" = c-1fi-1 + Cfi+ Cfu A. Find the coefficients of the following derivative %3D

A:

Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

A:

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

A:

Q: Answer the following True or False. 4 + C In 4 O True O False

A:

Q: 5. Which of the following is the solution to the equation below? 2 sin? æ – 1 = 0 x = 45 + 360k, x =…

A: Solve the following

Q: Find the maximum value of the function f(x) = x³ -9x2 + 15x - 5. Answer: Find the value of x for…

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated poi…

A:

Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

A:

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A:

Q: #4. Find the equations of the tangent lines to the relation 3y = x² - 4y when x 2.

A:

Q: .2 xdx Evaluate (x²-2)5

A: Use simple integration formula.

Q: Question 5 of 25 An airplane climbs at an angle of 24° at an average speed of 480 mph. How long will…

A: Let 'h' be the hypotenuse sin(24°)=3.1h 0.40674=3.1h ⇒ h=3.10.40674 h=7.62158

Q: Answer the following True or False. dt sec 't |', \_ 1 = 27. |t|VE2 - 1 O True O False

A: sec-11=0 and sec-1(-1)=π

Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v has,magnitude, v=2angle, θ=0°

Q: d the sum of the critical numbers of f(x) = 3x4-4x3 +2. %3D ISwer.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Dver what interval is the graph of the rational function positive but decreasing? 4. 2 -4 -2 -4 a)…

A: Topic:- calculus

Q: The integral of the given function f x2 dx is (9-x2)2

A:

Q: The recurrence relation a,= 6an-1 - 9a,n-2, with initial term ao=1 and a,=6 has a solution, which is…

A: We need to find solution of recurrence relation : an=6an-1-9an-2 with initial term a0=1 and a1=6

Q: Using the substitution z=Vx+2, the integral xyx+2 dr is equivalent to (A) | 222(z2- 2) dz .7 (в |…

A:

Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

A:

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A:

Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given,            fx=-0.002x2+3.2x-60To find : Find the absolute extrema of the function.

Q: (k +3)! kk Consider the series ak k=1 a) What is ak+1? ak-1= ak+12 b) What is ak ak-1/a = ak+1 c)…

A:

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A: We will find the number of strands of the bacteria originally in the culture as following. After 60…

Q: Substitution Method dy xy = 0 (7) (x² – y²) (8) 2xy = x² + 2y² - - dx dx (9) (1 1 3r sin v)dr r2 cos…

A:

Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

A:

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: V 8-x² X 2 4.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: s "(t) if s(t) = Je tl +1

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

A:

Q: 3. Herrera's ship is 70 kilometers due north of Arias' fishing vessel in a noon of a certain day.…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

A:

Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

A:

Q: 3. Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A:

Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

A:

Q: Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1…

A: Here, to match the graph of the given differential equation: y'=sin(10x)sin(10y)

Q: 3dt 1. (2t+8) Vt+1

A:

Q: 4. V40-4v-v² dv – 4v

A: This question can be solved by using the concept of some special integrals.

Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

A:

Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: Consider the parametric equations below. x = t? - 5, y = 3 - 4t, -3 sts4 (a) Sketch the curve by…

A:

Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

A:

Q: V3 - 2s ds 02 40

A: Since you have asked multiple question, we will solve the first question for you as per our guide…