In the adjoining figure, point Q is the center of the top face, and R is midpoint of the segment. R P

Q: Obtain the solution of the following differential equations. 1. y′ =x+1/y^4+1 when x = 0, y = 0 2. ...

A:

Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

A:

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

A:

Q: =(x) ,, } %3D

A: Given; f(x)=3+√x.

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y? ...

A:

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A:

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

A:

Q: A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all po...

A:

Q: Find the interval

A:

Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

A:

Q: Integrate f 72x+3 527+3 а. +C In49 O b. In42 727+3 72a+3 +C О с. + C log49 72z+3 O d. In49 + C a.

A:

Q: Evaluate e dV where E is enclosed by the paraboloid z = 4 + x² + y², the %3D cylinder x? + y² = 3, a...

A: We need to evaluate integral.

Q: The demand function p = D(.) = -0.3x + 33 and the total cost function C6) = 1.277 + 9.2x + 65 for a ...

A: We need to find all x where production is profitable.

Q: Evaluate S2 sin? x cos3 x dx

A:

Q: II. HIGHER DERIVATIVES C. Find the third derivative of the given function/s. 3. y = x(2x + 1)? 4. y ...

A:

Q: 18. It states that for each value between the least upper bound and greatest lower bound of the imag...

A: Sine we are given with multiple number of question answered according to the guideline.

Q: Calculate the integral of (cos 30) dO . (COS.

A: The given integral is: I=∫0π6 cos53θ dθ

Q: 6. Statement 1: The number of students who are present in Filemon T. Lizan SHS for the first day of ...

A: discreate variable means countable variable and continuous veriable means uncountable variables. 

Q: If f(x) = 5-(3/x)+(1/2x^2), then f'(x)

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

A:

Q: A. Determine if the following functions are continuous at x = c. (k) f(x): 22 – 4 ;c= 2 x - 2 (1) f(...

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts if there are multip...

Q: 1.Determine the formula for the nth term of the following sequences: а, 3 3, ап+1 %3D 2а, ; n 2 1 FO...

A: Given: a1=3an+1=2an ;         for  n≥1

Q: 1. Using the definition, find the derivative of f (x) = x² – 8x + 9 at the number x = a.

A:

Q: (1/16) ^2x-1 =64

A: Using rules of indices

Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal t...

A:

Q: ft along a straight, level road decelerates at a constant rate of 2 A bus travelling at 66 - ft F 22...

A: Given that: Speed of bus, u=66 ft/secDeceleration, a=-22 ft/sec2

Q: 4. (x+ Vy³ + 1)dx – (y- dy = 0 ху + Jy2 + 1)dx - Vy2+1/

A:

Q: Evaluate Ln(-5.3- j2.4) O 4.3143+ j1.0541 O 1.7610 – j2.7164 O -1.2232+j1.9883 O -2.6170 - j3.5246

A: First express the given rectangular point into polar form then using following identities find the U...

Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

A:

Q: Which of these statements is/are TRUE? 1. If sec A is undefined, then cos A = 0. II. If tan B = cot ...

A:

Q: It is known that the population of a certain country at time t is proportional to the people living ...

A:

Q: In the interval 0< x < 27 how many values of a satisfy the equation sin x = -? 01 0 4 O 3 0 2

A:

Q: (c) S (d) S: xe* ;dx (1+x)2 ex dx V1-e2x

A:

Q: 4. Compute 23 2 3 4 3 2 0

A:

Q: xdy – ydx – /x2 – y²dx = 0

A:

Q: 2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6...

A:

Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: tan (log x) 2 dx 2 x(1+log*x)

A:

Q: S 2x/6-7x dx 6.

A: Using substitution method.

Q: Find the average value of f(x) = x² /57 + x³ on the interval [0,4]. favg = Report answers accurate t...

A: Find the average of the function  f(x)= x2√(x3+57) on interval [0,4] 

Q: The length of the curve y = In(cos x), 0< x <:

A: To determine the length of the curve, y=lncos x, 0≤x≤π4.    

Q: A. Determine if the following functions are continuous at x = c. (f) f(x) = 23 - 3x; c= 1 %3D (g) f(...

A: NOTE: Refresh your page if you can't see any equations. . the given value of c is 1 so take x=1 ...

Q: OBTAIN A FAMILY OF SOLUTION 1. (5 v- U) du + (3V -7U) dv=0 2. (x - yny + ylnx) dx + x CIn y - In x)d...

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

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

A:

Q: (D² + 3D + 2)y = 12x²

A:

Q: 30. A growing raindrop Suppose that a drop of mist is a perfect sphere and that, through condensatio...

A:

Q: 2 y² 1 %3D 2.

A: