c) So lz² – 4| dx sin a d) L', dx da e) J JetItya

Q: 16 P(2, 1) is a point on an ellipse with foci (3, 0) and (-V3,0). Find the equation of this ellipse.

A:

Q: Evaluate the integral. 1 2187 19683 3e° 2187 e 4

A:

Q: 7. Consider the region above the x-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

A:

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

A:

Q: 4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The redu...

A:

Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

A:

Q: dx 1+x² plution as the answer is given.

A:

Q: 1. Find the integral

A: Topic:-  calculus

Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

A:

Q: homogenous DE 3udv-vdv-udu-vdu=0

A:

Q: Consider cos 0 d0. What is the best-fit parabola to cos e using the (a) three points 69 = 0, 01 = 7/...

A:

Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1? Ch...

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant  

Q: group homomorphism preserves identity i.e. for any homomorphism, f :G → G' , if e is the identity el...

A: Proof be attached in second step hopefully you understand.

Q: Find the solution for Bernoulli equation below. dy y ху? dx

A:

Q: aghly, speaking, we can use probability density functions to model the likelihood of an nt occurring...

A:

Q: Q3 (10 M)/find the polar form of (-1+i)

A: See step 2

Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: In (1+x) lim

A:

Q: Ordered: Baby formula 1:2 strength, 60 mL per hour to be diluted with SW. a. What is the equivalent ...

A:

Q: Find the values of c that make f continuous everywhere: x? – c2 if x 8 smaller c = larger c = Use a...

A:

Q: f(r) = sin x cos z %3D

A: Topic:- derivatives

Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

A:

Q: dx Jx +

A: Given that: ∫dxx+x3

Q: 45 6 7 2 3 8. -1 -2 -3 2.

A:

Q: dx 1 3. xVx6 – 1 3 sec-(x³ ) + C

A: Let I=∫1xx6-1dxPut x6-1=u(squaring on both sidex6-1=u2x6=u2+1)differentiate 12x6-1ddx(x6-1)=du12x6-1...

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i + 3t²j...

A:

Q: 52. 0 = 6. 54. 0 = 12.9

A:

Q: 3x – 2 if x 10 lim f(x) = lim I+10+ f(x) = f(10) f(x) cannot be made continuous because lim f(x) do...

A:

Q: Evaluate the integral. sin"(@) cos (0) de Evaluate the integral. sin(x) dx Evaluate the integral. 9 ...

A:

Q: The reference angle for an angle 0 (in degrees) is the angle 0' = 360°n – 0, where n is an integer a...

A:

Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t2, y = 4t, 0sts1 N...

A:

Q: ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble ...

A:

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by...

A:

Q: Consider the function f(x) = x – 50x? + 3, - 4 < x < 11. | The absolute maximum of f(x) (on the give...

A: Given : x4-50x2+3 Interval given : -4 &lt;= x &lt;=11 to find : point of absolute maximum and absolu...

Q: Find dy/dx by implicit differentiation. x = 2 In(y? – 48), (0,7) dy dx Find the slope of the graph a...

A:

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = -3x* Provide...

A: topic - limits

Q: Expand the expression. If possible, write your answer without exponents. 8m log 2

A:

Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

A:

Q: 1 3t(2 – t)²dt -1

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) Va and f...

A: Solution is here

Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

A:

Q: 55-68, evaluate the sine, cosine, and tar of the angle without using a calculator. 58. 675° 2n 64. 3

A:

Q: Find the number(s) b such that the average value of f(x) = 6x² – 26x + 32 on the interval [0, b] is ...

A: We have to find the value of b such that the average values of f(x)=6x2-26x+32 on the interval [0, b...

Q: The Physics Club sells E = mc? T-shirts at the local flea market. Unfortunately, the club's previous...

A: Solution is here

Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

A:

Q: 6. Find the integral Ssin T* jsin² 2 TTX 2.

A: We have to find integral

Q: de +5x +6, dt / æ dt = 4t where: x(0) 2

A: It can be solved using laplace transform.

Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 + ...

A: