11) у - еx4 In x ex4 + 4x4 ex4 In x A). + 4exª In x B) 4x4 ex4 + 1 C) D erg + 4x3 ex4 In x

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: 00 sinde 2ode Estimate the slope of the tangent line. (b) what are the.units of measure for the…

A:

Q: Prove the identity. x2 - 1 tanh(In(x)) %3D x + 1 tanh(In(x)) %3D cosh(In(x)) eln(x) 2 -In(x) + e -1…

A:

Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

A:

Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

A:

Q: Evaluate the definite integral. e12. i+ k 12 e12 i-elj+; k 12 e12 -1 12 e12. k 12

A:

Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: (b) O The system has no solution. 10 1 -2 O The system has a unique solution. 01 2 8. (x, y, 2) =…

A: See below the answer and explanation

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Here we will find the smaller and larger distance values,

Q: Find the values of a and b for the curve x'y+ay =b if the point (1,1) is on its graph and the…

A:

Q: + C2e¬4x The auxiliary equation of a second-order homogeneous linear differential equation is m2 –…

A:

Q: 5. S csc* dx *csc4 x²

A: Given problem:-

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 11 lim 3 + n-…

A:

Q: dz ins- , if we let y=Vz+4, then the new integral becomes z+4 -2 у-2 True B False

A:

Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

A: We have to solve the given integration

Q: UsinG PYTHAGORE AN IDENTITY, SOLVE FOR [sin Gx) - cos (Vx)] - 3x5 COS

A: The integration of the integral is  [sinx1/3-cosx1/3]2/(3x2/3).

Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.

Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) *+ 2y = 3 ,y (0) =…

A:

Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

A:

Q: Find the least possible cost of painting the cement block.

A: Please find the solution

Q: Question 8 In |x³Vx2 – 625 dx , if we let x = 25sece , then dx = 25secede. True F False

A:

Q: graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f(x) 12 12…

A: Given query is to find the value of indicated integrals.

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A:

Q: Eind the limits lim hth G h Sinshe-Go

A: We have to find the limit according to the given information

Q: Find the general solution of the differential equation. y(4) – 6y(3) + 9y'" = 0 ... y(x) =

A:

Q: Ql Find Ax

A:

Q: 1 et dx 1 (1 — е*)2

A:

Q: 2) a> Determine the value(s) of k such tPhat g'u)= 5if g Cc) (x) x2-2 b) Write the equation of the…

A: In multiple question we are allowed to answer the first question

Q: X Sin(x?)dx evaluate the definite integral

A:

Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: Which of the following functions is the derivative of „sin(x) f(x) : = X sin(x) cos(x) xsin(x)…

A:

Q: S sec?x csc²xdx O None of the choices tanx + cotx + C O - tanx + cotx + C O - tanx - cotx + C O O

A:

Q: 25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

A: Follow next step

Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: Solving

Q: Consider the discrete time dynamical system 5x1 . This DTDS has 3 fixed points. Choose the correct…

A:

Q: 3 dx (3) x? +9 -3

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

A:

Q: Solve the following Initial Value Problem: y"+ 16y 0, x)= 2 and y'() = 5. %3D

A: Topic = Differential equation

Q: a) (fog)(7) b) If 4) If f(x) = x + 3 and g(x) then find (gof) (2). %3D x+1

A:

Q: 1 In solving the antiderivative of f(x) = 2- sin(x) by miscellaneous substitution, the substitution…

A:

Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

A:

Q: Jse the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 1 1 lim ttoo\ 6t2 +7' 5t (?, ?)

A:

Q: characters. And, DO NOT include dy/dx in your answer. * dy given x = sin (x+ y). dx Determine

A:

Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

A: