Find I using integration or geometry: I = 5 dx dy .

Q: Find y= sin (1) i %3D dx

A:

Q: Integrate by parts: e* cos (12x) dx

A: To find the integrate by parts (e3xcos(12x))dx

Q: In the case of a double integration, what changes if we change the order of integration? (Ex:…

A: we know the limits of integration the dx dy order and need to determine the limits of integration…

Q: The integration of ſ, Vx tan-'Vx dx is

A: Given that  The integral is

Q: 1. S(3 – 2x – x*) dx

A:

Q: Use this equation to find dy/dx. 5y cos(x) = x2 + y2 %3D dy dx %3D

A: We have, Here, we'll take derivative on both side and then isolate the dy/dx.   It is known that,

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: Integrate: J [ xe*dx

A:

Q: To evaluate fx (cos x2)e* dx, use integration by parts. What is the best choice for u and du?

A: Consider the provided integral, ∫ xcosx2ex2dx Evaluate the provided integral. Apply the substitution…

Q: Evaluate using Integration by Parts. -8x sin x dx + C

A:

Q: dxdy Vy X'

A: Given: ∫01∫yy21y2-x2dxdy

Q: evalua te the integra x?4 dx Conve or D-

A: The given integral is ∫x2-4xdx. Apply trigonometric substitution: x=2secu⇒dx=2secutanudu Now,…

Q: Reverse the order of the integration dy dx sin x

A: W need to find integral.

Q: Find the integration Sx cos 2x dx

A: Here we have to use integration by parts to find the answer.

Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

A:

Q: y = sin (2x) + et ,Find dy Inx dx

A: 1. Differentiation can be defined as a derivative of a function with respect to an independent…

Q: y Sin (x) dx dy -2 2.

A:

Q: Find Y by implicit differentiation. dx xy? + Vxe = 10 dy %3D dx

A: We will proceed as follows

Q: Find dy and simplify whenever possible. dx 1. y = arcsin V4-x2 2. y = In(e¬* + xe¯*)

A:

Q: dy dx

A:

Q: dz %3D dt

A: Given that: z3=x3+y2, dxdt=2, dydt=1 and z>0.

Q: This is a calc 3 question    change the order of integration to dx dy dz

A: The given region of integration is bounded by all three axis and the plane:  x + y + z = 4.

Q: Calculate | e* cos(T2) da using integration by parts as many times as necessary.

A: Find the integration of excosπx using integration by parts

Q: Find the values of dz/dx and dz/dy at the given point

A:

Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

A:

Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: i. Je* cos(4x) dx

A:

Q: Find the most general antiderivative , verify answer by differentiation  g(x)=7sin theta/3

A:

Q: Find dy/dx by implicit differentiation. x?y3 – 9xy² = 4 %3D

A:

Q: cand. find dy at

A: Given that     If y=x2 - 4x and x=√(2t2+1) We have to find dy/dt at t=√2 .

Q: Find dy/dx by implicit differentiation. xe - 18x + 4y = 0 %3D dy %3D xp

A: Given:   To determine: dy/dx using implicit differentiation.

Q: [[ dx dy Q4 )Evaluate by changing the order of integration

A:

Q: Given a = 2 cost+35 and y =7sin t %3D dx dt dy dt |3|

A: Topic : differentiation

Q: Q5. (A) Evaluate [- dx +4x+3 (B) Use integration by part to evaluate ſe* sin (e** )dx

A:

Q: Write the general antiderivative. (Use C for the constant of integration.) 29e2.9x dx

A:

Q: –1 dx

A: Solve the following

Q: dx 5 + 4 sin a

A:

Q: Find the intergral of i. SVīdx ii. (x - 1)dx

A: According to Bartley guidelines I have, to solve only first question so repost the problem for…

Q: Q2:- change the order of integration 1- Say, 4cosx dx dy kp xp dy dx 티/

A:

Q: sinx dx 5+ cor?x

A:

Q: Find dy/dx by implicit differentiation. VTy = r'y+55 %3D dy/dx = %3D

A: Calculate dy/dx

Q: dy Find by implicit differentiation. dx x* +y° = 44 %3D dx (Type an exact answer.)

A: Given the equation  x4 + y6 = 44 , we need to find   dy/dx. Now,   By differentiating the given…

Q: Find / tan- -dx using integration bv parts. TM

A:

Q: Use loganthmlc differentlation to find dy/dx. y = x, dy

A: The given function,      y=xx-2, x>0

Q: file the loiIOwing using the ina egration and 7 0 8x +8 || dy dx dz in the order dz dx dy 0 -1 0

A:

Q: | (In x)? dx. 1. Use integration by parts.

A:

Q: Given y is the square root of x. Find dx/dt when y=2 and dy/dt= 1.75

A:

Q: 3 3 У(х'у + 2х — у)dx + x (ху — 2) dy 3D 0 3

A: Firstly we find Integrating factor, then find general solution.

Q: Given that y = ln |2² – 6 , dy 6, find dx In |x %3D

A: Differentiation is the process of determining the derivative of the function The given function is…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: