Moving to another question will save this response. uèstion 4 Consider this function: y=-5 sin(3x + T) (Remember these results. You will use them in the next question.) Reminders: To indicate 7. then type: sqrt(7). You must type the parentheses! To indicate T , just type: pi 1. Find the amplitude: 5 2. Find the period and the quarter-period: period: 2pi/3 quarter-period: 3. Find the phase shift: -pi/3 A Moving to another question will save this response.

Q: Using Sandwich Theorem, the sequence 2 cos? n + 1 an = 4 - diverges converges to 0 converges to 2…

A: Use range of cos x which lies in -1 and 1

Q: Find the Area bounded by the given curves. 1. у %3 х2, у32х+3 2. х2 - у -1, х3у -3 3. у 3 х2, у-2-х2

A:

Q: The integral (2

A: Given: ∫124xx2-43dx

Q: y = sinx dy V1+x? sin dy V1+x sinx+x x+x (sin" x)' Jī- dx (sin" x) Vi+x² dx Op tion 2 Option 1 V1-x…

A:

Q: The mean of two samples of size 50 and 100 are 54.5 and 50.3. Calculate the com bined mean of the…

A: Topic:- Basic algebra

Q: Stan@ -1}de

A: ∫ tanθ dθ = -lncosθ+C ∫sec2θ dθ = tan θ +C.

Q: Part 3: Integrate the following Show your complete solution. 1.) f (x + 5x -x)dx 3.) S 12x(7+ 6x*)dx…

A:

Q: Using decomposition into partial fractions, 4x2 + 2 J x(x² + 2) is equal to

A: We can solve this as follows:

Q: Find the absolute maximum and absolute minimum for the given function on the ir f(x) = x3 + 3x² – 9x…

A: Topic:- application of derivatives

Q: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

A:

Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: Given differential equation is y''-16y=2e4x. The characteristic equation is m2-16=0⇒m=±4. So, by the…

Q: 4ln(Arctan x) = 1- y

A:

Q: Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

A:

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x² + 2) is equal to In|x (x² + 2)| + C…

A: Solution is given below:

Q: Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 2x+3 (a) Given f(x) = and g(x) = , determine (g f 1-x

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

Q: Find the intervals where the graph of the function f is concave up, concave down, and any inflection…

A:

Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

A:

Q: Use the graph shown to determine if the limit exists. If it does, find its value. lim f(x) X-1…

A:

Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A:

Q: -3 -8- -

A:

Q: P8: sin x cos x dx (2 sin x – 1)(sin x + 1)

A: Use the substitution and then partial fraction to solve the integration.

Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

A:

Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

A:

Q: Let E be the region that lies inside the cylinder x2 + y2 = 64 and outside the cylinder (x- 4)2 +y2…

A:

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A:

Q: * the Area that lies inside r=3+2 sin 0 out side r=2 is

A:

Q: The graph of f is shown. y y = f(x) 6 12 18 24 Evaluate each integral by interpreting it in terms of…

A:

Q: solve the following first order differential equations (Homogeneous Equations)

A:

Q: (a) Evaluate the triple integral dV, where E= {(x,y,z):0<x< 3, 0<y< 3, 0<z3 2). %3D (b) Evaluate the…

A:

Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (х3 — 4x)(x2 —…

A: Finding the partial fraction decomposition without evaluating the value of constants

Q: 1 Integrate

A:

Q: Line m is tangent to the circle. Find the indicated measure. 2. mRST 98

A:

Q: PRACTICE ANOTHER fence parallel to one of the sides of the rectangle. Let y represent the length (in…

A:

Q: 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product…

A: Please follow the explanation in the next step.

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Given problem:- Find the angle of the largest right circular cone which can be inscribed in a sphere…

Q: a. Determine the point (a, la)) for which f'(a) = a, given that Ax) = -x + 3x-7. b. Write the…

A: For (a), Given: We need to find the point a for which f'(a)=a. Here, f'(x)=-2x+3. So,…

Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: Evaluate this integral. x? (a? – x²)3/2 dx

A:

Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…

A:

Q: sove the fowowing, using Lagrange Multipiiers: Maximize flR, Y. 2) solaject to x2 + Ax + a4 t 2 + 2…

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A:

Q: b) sec(arcsin x2+4, 以a sin g 孙 OPP Los : als hyp a-t6-cと とい ))Not how sec = x-Vxty %3D exponent…

A:

Q: Find the first five terms of the Taylor series for the function f(x) = lnx) about the point a = 2.…

A:

Q: 1.Figure out the acute angle between the planes P : 2r + 2y + 2: = 3, : 2r-2y-z 5.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 3y + 2y Solving by variation of parameter y" Wronskian W is: 3e*cosx, the value of |

A:

Q: Using appropriate trigonometric substitution, dx xV4 – x2 is transformed to J csc 0 de cos e do the…

A:

Q: x²dy + (y? txy) dx 3-

A: