Find (with proof) all the triplets of integers a, b, c that satisfy a? + b² = 6c².

Q: x5tan(x²) sec²(x²) dx

A:

Q: Solve the problem. 23) Find the points where the graph of the function have horizontal tangents. f(x...

A:

Q: If f(x) 3. find f'(4).

A:

Q: Compute the derivative of the following function and find its tangent line at x = 0. Graph the funct...

A:

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

A:

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: Estimate f(1.08, 5.94) assuming that S(1,6) = 4, S«(1,6) = 0.5, S,(1,6) = –0.4 (Use decimal notation...

A:

Q: What is the integral of f(x) = X within the interval [3, 6]? %3D 5. 4+ 3- 2- 1 O Area = 18 O Area = ...

A:

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the equatio...

A: The given curve is: f(x)=6x+15-15ex

Q: log (x+8) ) dx 3

A:

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $1...

A: Given query is to make system of equations and solve them to find the number of each ticket sold.

Q: Calculate the area of one petal of r = sin 40

A:

Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: (y* – 2xy)dx + 3x²dy = 0 a.

A:

Q: Which integral would represent the area shown? AY 4 3 2- 0.5 1 1.5 (-x² + 3) dx Lo (-x³ + 3) dx 2 L ...

A: NOTE: Refresh your page if you can't see any equations. . here the parabola opens downward so the le...

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections. Assum...

A: Solution: a=6, b=3, and c=4

Q: Which Riemann sum represents the illustration shown? 20 - 16 12- 8 X 1 3 4 4 O 12 3 i=0 4 o 124x; i=...

A:

Q: Find dy/dt. 9) y = cos (rt - 20) A) -7n sinº(nt – 20) C) 7 cos (zt - 20) B) -7n cos(nt – 20) sin(7tt...

A:

Q: Determine whether the number is rational or irrational. 3.789778977789.. Is 3.789778977789... ration...

A: The given number is: 3.789778977789...

Q: at is AY 10 8- 4 2 4 O Area = 10 O Area = 12 O Area = 14 O Area = 16 3 2. 2.

A:

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x= 19- y, - ...

A:

Q: Find the indicated derivative. 11) Find y " if y = 3x sin x. A) y " =- 3x sin x C) y" = - 6 cos x +3...

A:

Q: Figure 2 shows the shaded region S bounded by the curve x = y² – 2y + 1 and the line y = 3. Find the...

A:

Q: 1. lim 5* = X-2 f(x) f(x) 5.873094715 3. 125 1.1 2.5 1.3 2.3 1.5 2.01 25.40561478 1.99 24.60086108 2...

A: 1. The given limit limx→25x Note:    Multiple questions are given, we are answer with only one quest...

Q: Problem 3. Find the derivative of the following function I sec(1 +r') dt. sino) F(x) = F() D

A:

Q: b. e-Y sec² y dy = dx + xdy

A:

Q: Find the derivative. 1) y = 3x4 + 3x3 +4 A) 4x3 + 3x2 - 7 B) 12x3 + 9x2 C) 4x3 + 3x2 D) 12x3 + 9x2 –...

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

A: The given sequence is:  8, 7, 6, 5, 4, ... 

Q: 38) y= cos (-3x³ + 5)?

A: We can differentiate the function as below

Q: If f(r) = 4x? 3x +5, find f'(- 2). Use this to find the equation of the tangent line to the parabola...

A:

Q: Find the length of side x in simplest radical form with a rational denomin 1.

A: Topic = Triangle

Q: The bond angles in the central atom of CO32- are expected to be

A: This question is related to chemistry hybridisation.

Q: from o to 9 0.

A: The given curve is: y=x ;           0≤x≤9

Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2. ...

A: We have to find domain

Q: 2. (a) Define what it means by for y = f(x). %3D

A:

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: The given number is:

Q: Worksheet 1 Draw a circle on a Cartesian plane ( using a graphing paper) with the following properti...

A: For c=(0,0) and r=5

Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

A:

Q: Find the derivative with respect to x of f(x) = 2(x + 5)* + 3(x + 5)° + (x + 5)² + 4.

A: The given function, f(x)=2x+54+3x+53+x+52+4

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

A:

Q: Suppose we have a velocity function and an initial condition for position: 1 1 2t v (t) = r (1) = (0...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2...

A:

Q: Let vector r(t) =  be the position function of an object. a. Find vector v(t) and vector a(t), the v...

A:

Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: 8x+5<15

A: NOTE: Refresh your page if you can't see any equations. .

Q: 12) y = esin t (In t5 + 10) A) eCos t (cos t)(In t + 10) - 5esin t 5esin t cos t B) C) esin t (cos t...

A: From the formula of derivative multiplication which is    d/dx[f1(x)*f2(x)] = f1(x)*d/dx[f2(x)]+f2(x...

Q: Sin zt 2 2 7o47 mous

A:

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: We have to find P value and point.