1 y" + y = 1.

Q: 00 2x 10 Vx+1

A:

Q: Find a solution for sec(20+25°) = csc(30 +15°)

A: The given equation is:sec2θ+25°=csc3θ+15°We need to solve the above equation.

Q: 1 Ca) dt 9 + 16t²

A:

Q: e2t dt dr 2

A: According to Leibniz rule(differentiation under the sign of integration):

Q: S(+-+e* + ) dz 3x 2x2

A: The given integral is ∫13x-32x2+e2+x2dx

Q: Find the exact value of dydr. 1/4 Ja

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1 Given; I=∫141∫x2xxydydx

Q: dx

A: We have to evaluate the integration ∫2x+4xdx using basic formulas.

Q: Solve the following problem. PV = $15,222; n=71; i= 0.024; PMT = ?; PMT = $ (Round to two decimal…

A: To determine the PMT for the given problem, Given that: PV = $15,222 n = 71 i = 0.024

Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: Rearrange the equation to isolate a. (*+:) d - e) = / a =

A: Given equation is a+bcd-e=f now we have to rearrange the equation to isolate a by moving the term to…

Q: Find mLS. 5 R mzs

A: Law of sines If s,r and t are the lengths of the legs of a triangle opposite to the angles S,R and T…

Q: h(x) = sec 6x

A: To graphy=sec6x

Q: -1 t² Vta 6 dt

A:

Q: Solve the IVP: dH/dx 3H when H(0) = 1

A:

Q: g is da by e* 1+2

A: According to the definition of definite integral, ∫abfxdx=limn→∞∑i=1nfxi·∆x Consider the given…

Q: Is it possible to have it a little more detailed?

A:

Q: 3x dx 3,

A:

Q: 1 a. Caleb rides his bike with a constant speed of 8 miles per hour, How long will he take to travel…

A: Given that Caleb rides bike with a constant speed of 8 miles per hour. Distance travelled is 20…

Q: Find an equation for the line below. 6-4 O=0 -24 Continue Submit A Dlo

A:

Q: Activities dx tdt 2.5. xV4x² – 25 +64

A:

Q: t-1+2 dt

A:

Q: E (x+1) xp:

A: Given integral is, ∫x+112x52dx.   It is integrated as follows:   Apply u-substitution: u=x+112…

Q: L, 5e4x dx -2

A:

Q: Find The gh teim of

A:

Q: dr Find dt

A: Given that r=s+1   and   s=16t2-20t. Obtain the derivative as follows.

Q: ·Sa 20. x² dx (x − 1)(x² + 2x + 1)

A:

Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: S |8x-x2 dx

A:

Q: Evaluat dx (b) 2.6 m2

A:

Q: Find the formula for dz Xx2

A: Given z=fx,y where x=est and y=s2t3 It is asked to find ∂z∂s.

Q: dy

A: Use the method of substitution and solve the integral.

Q: f'ex + 2cos(ny)

A:

Q: (t+6)2 dt

A: Given,

Q: 2x + 3 dx

A:

Q: Solve the D.E sec2x %3D

A:

Q: (3t – 1)66 dt

A:

Q: Evaluat e (x241)(x?+q)

A: The derivative of the function is the measure of how fast the function is changing with respect to…

Q: Зх + 1 h(x) = In 5x 2

A: Solution of the problem as follows

Q: dz %3D

A: Answer is- 36.5 Explanation is given below...

Q: tdt (1+t*)(arctan² t² + 4 arctan t² + 5)

A: Use the substitution method to solve the integration.

Q: Aut (2) E Z..

A:

Q: 1 -dx (г?) — 4г + 13

A: Here, we need to evaluate the integral ∫1x2-4x+13dx

Q: ∑i=30704(i–30)  Calculate. Show work.

A:

Q: 12sin3xcos7x dx

A:

Q: | dr In (t² + 1) dt.

A: We will use the formula ddx∫a(x)b(x)f(x,t)dt = ∫a(x)b(x)∂∂xf(x,t)dt+f(x,b(x))b'(x)-f(x,a(x))a'(x)

Q: Find for 1 r = e° 02

A:

Q: 2. TEノ %3D

A: We are asked  find the critical points.