Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A:

Q: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: Find the area bounded by y = 2 - x squared and y = x

A:

Q: Employ trapezoidal rule to approximate value of the integral f() dx using the table given below. x|…

A:

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

A:

Q: (v®) do 1 sec J2

A:

Q: 12. 2y" + 2y' + y = 0

A: We have to find solution

Q: II Evaluate the following by simple substitution: (x+5x²+4xY X-1 2. S sin24xcos4xdx

A: 1.∫x3+5x2+4xx-1dx Let x-1=t ⇒dtdx=1⇒dx=dt So, x=t+1 Now x3+5x2+4xx-1=(t+1)3+5(t+1)2+4(t+1)t…

Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 o Sl-P-2u - )du Match the integral expression on…

A:

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z = 5 4x - 20y – 4z =…

A:

Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: Water is running out of a conical funnel at the rate of 1 in3/sec. If the radius of the base of the…

A:

Q: Canada, the total for any store purchase paid in cash is rounded to the nearest 5 cents, where no…

A: Given query is to find the absolute error.

Q: 12. f(x) 2x+4x-1 at x=-1

A:

Q: The coefficient of sin(x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not…

A:

Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

A:

Q: dy y(ln y – In x + 1) dx 1 C = -In None of the choices O Option 1 C = -ln C = -In Ontion ? Ontion 4…

A: We have to choose correct option.

Q: xydy – (y² – 3x²) dæ = 0

A:

Q: Current Attempt in Progress A compact disk spins at a rate of 200 to 4000 revolutions per minute.…

A:

Q: 10. y = cos In 7x6

A:

Q: Determine the value of the arbitrary constant of the antriderivative of F(X) = x-In(x) given the…

A:

Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

A:

Q: 2л E. Given v of magnitude 200 and direction , and w of magnitude 150 and direction 3 find v+w. 6

A:

Q: Evaluate: /sin(Vx)dx A 2/x sin(Vx) +2cos(/x)+ C B 2sin(Vx)+2/xcos(x)+ C None of the given Choices O…

A:

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv=…

A:

Q: 1. y = 5sin 3x*

A:

Q: II. Find the first derivative of the given function. tan 2x 6. у %3 1-cot 2x

A:

Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: y= x2 +4x  ....(1)2x-y=-8 ......(2)2x -[x2+4x] =-82x -x2 -4x…

Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

A:

Q: Determine the order and degree of the differential equation y' + y" = sinY O 1st order, 4th degree O…

A:

Q: Evaluate: Ssin(/x)dx A 2x sin(/x)-2cos(Vx)+C B 2/x sin(x)+2cos(x)+C 2sin(x)+2/xcos(/x)+ C D…

A: Using substitution and integration by parts,

Q: Consider the function below. 4X f(x) = (a) Use a graph to estimate the value of the limit of lim…

A:

Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: (x1, y1, z1) =(0, 0, 81)(x2, y2, z2) =(18, 18, 0)The parametric equations are given…

Q: Determine whether the integral is convergent or divergent. dx e2X + 3 convergent O divergent If it…

A: We have to find the given integral is convergent or divergent.

Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

A:

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the…

A:

Q: Directions: Use the Rules of Differentiation to differentiate the following functions. Simplify, if…

A: Solution :1. gx=2x3+6x-2g'x=6x2+6g'x=6x2+1

Q: tan (2x)dx, (Use 2 decimal Let x 0.49 and y = 1.9. Determine the value of C when you evaluate digit)

A: This question can be solved using the concept of ILATE.

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

A:

Q: Find dy/dx of the function. y=cot-1(4-3x2)

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A:

Q: The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters.…

A: Given problem:- The age T, in years, of a haddock can be thought of as a function of its length L,…

Q: (2x-3 ifx22 6. f(x)= -2x+2 if x< 2 if x2-2 x+2 7. f(x)=-x-1 ifx<-2

A:

Q: 15 loyy o4=x 16 og 2 243: 2x+l 64=7

A:

Q: For the length of the polar curve: r = 2cos(theta) ; 0 < theta < (3pi/2)

A: