S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

Q: Find the differential of the function w = z sin(y'z?) dw = dz+ dz +hp

A:

Q: 50 in. The figure above shows a right triangle with dimensions in inches. If 0 = 48°, what is the le...

A:

Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: Consider the following. 18/1 + e−x = 2 (a) Find the exact solution of the exponential equation in ...

A: The given equation,   181+e-x=2

Q: OFind the linearization L (1, y) of the function f (z, y) = /176 – 4,' - 16y at %3D L (z, y) = Note:...

A:

Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

A:

Q: he directional de -) = 3x?y -4xy 3x², 2. %3D ne giu divection gie

A:

Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

A:

Q: 24 3T Find the exact value of sin20 given tan0 == and t <0 < commanu option Find the evact valuo of ...

A:

Q: ( 2 + x², -2 < x< 0 4 1. f(x)dx; f(x) = 5x + 2, 2 0 <x< 4 -2

A:

Q: 81. During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 ...

A:

Q: f(x) =a= 2 3. %3D THE IA

A:

Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: Question 3 If lim an = 0, then the series a, is convergent. n=1 True False

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: Determine the interval of convergence of -1)"+12nx"| n2 + 3

A:

Q: dy given the equation a+y° = e. dz Use implicit differentiation to determine dy %3D dz > Next Questi...

A: dfx±gxdx = d(f(x))dx± dgxdx dxndx=n.xn-1 dexdx=ex

Q: Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P. 12ft B The point...

A: Rate of change

Q: A. : Į Given lim f (x) = 5, lim g(x) = -1, and lim h(x) = -3. Used the properties of limits we have ...

A:

Q: What is the integrating factor for the differential equation?

A:

Q: Solve the differential equation (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy = 0 when x - 0, y = –1

A: Topic:- differential equations

Q: balloon rises vertically at the rate of 10 ft/sec. A person watches the balloon ascend from a oint o...

A: Given query is to find the rate at which eyes are rotating up  

Q: 5-Vx 4) lim x-25 x-25 5) lim 7-x ל-x ( x² – x3 if x <2 6) Given the function g(x) 15x – 14 if x 2 2 ...

A:

Q: The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j - 5k and o...

A: We have to find equation of plane and distance AB

Q: I Find the second derivative (y") of the following functions and simplify the final 1. y = x – x?cos...

A: As per our guideline, we are supposed to answer only the first question, to get remaining kindly pos...

Q: Solve the differential equation (D³ – 2D² – 5D + 6)y = (e2x + 3)2 %3D - -

A: To solve the given differential equation.D3-2D2-5D+6y=e2x+32

Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,988 yd of fencing with which to encl...

A: let length of longer side of rectangular land be  L yardslet length of shorter side of rectangular l...

Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*- x...

A:

Q: Identities and Equations Verify each identity. 1) sin2 xsec? x = cot2

A:

Q: dy given the equation z + y° = e. dr Use implicit differentiation to determine dy dx > Next Question

A: Given query is to find the derivative of the expression.

Q: Simplify the trigonometric expression. cosx(secx cosx) |

A:

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A:

Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

A:

Q: If lim an = 0, then the series an is convergent. n=1 O True O False Question 4 For Item 4, determine...

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

Q: Is the differential equation linear? y' = y + ey

A:

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

A:

Q: tf(r.,2) 4ry t and u is the unit vector in the direction of (4, 2,-5), tmen the drectional denvative...

A:

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

A:

Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: 4 dx J (3+12x?)arctan 2x

A:

Q: EXERCISE Find the slope and the equation of the tangent line to the following functions at the given...

A:

Q: 8. Use the image below to answer the following. Show your work, but you may use technology to calcul...

A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

Q: For each problem, use implicit differentiation d in terms of x and y. dx 1. 2x3 2y2 + 5 2. 3x2 + 3y2...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties: i) x = -4 is a loc...

A:

Q: dy Find where y = sec-' (V3x³). dx

A:

Q: IV. Exercises: Find y', y", y'", and y"" for the following expressions: 1. y = x* 2. y = 2x2 + 3x - ...

A:

Q: Which of the following would represent the equation of the graph that passes through the point (8, 9...

A:

Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

A: