For the same function f(x) and same subintervals as question 1, compute the right-hand sum fo f(x) on [0, 4]. O 14.5 2.5

Q: x=r' +1, y=r -t d'y b) Find dx?

A: Given: x=t3+1y=t2-t To Find:  To find d2ydx2.  

Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle chang...

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm ...

Q: x sec (3x) tan (3x)dx

A: Find your answer below 

Q: dy Then find the slope of the curve at the given point. Differentiate implicitly to find dx y -x = 2...

A:

Q: Give two Combined Variation example problems and their solutions

A:

Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = 12 - 3x², y =...

A:

Q: 00 n+47 Vn²+3n)n=1

A:

Q: 2 = In (e*x³) 12.

A: As per our guideline we can answer only 1 question so kindly repost the remaining questions specifyi...

Q: A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 125 feet of fenc...

A: Total fencing available is 125 feet.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 4t, y = 4 –...

A:

Q: In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The...

A: Given that the acute angle connected to the base increases at a rate of 3 degrees per second.

Q: 2 y=x¯,y= 2x

A: The objective of the question is calculate area of the bounded region .

Q: dy 21 z'e ", by using Variable Separable de PROBLEM [ B6 (b) ]: Solve the first order differential e...

A: Given the first order differential equation is dydx = 21x2e-y

Q: 2–3 Find |u X v and determine whether u X v is directed into the page or out of the page. 2. |v|= 5 ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable. 

Q: Use the alternative form of the dot product to find u · v. |lu|| = 50, ||v|| = 20, and the angle bet...

A: Given: u=50, v=20 and angle between u and v is 5π6 We know that u·v = uvcosθ, where θ is the angle b...

Q: Let f(x, y) = 4x² + y². Using Lagrange Multipliers, how many critical points are there for f subject...

A:

Q: 2. a| = 3, b|| V6, the angle between a and b is 45° 3. |a| = 6, |b|= 5, the angle between a and b is...

A:

Q: Find the derivative of the following functions. Show complete solutions, including trigonometrie ide...

A:

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. (1 - x)y' = y2

A: Firstly , Separate the variables and after that integrate . ∫yn dy = yn+1n+1+C . ∫1ax+b dx = 1a lna...

Q: Closure: A ship's captain sets a course due west at 20 miles per hour. The water is moving at 7 mile...

A:

Q: It is estimated that t years from now, the population of a certain town will be F(t) = 40-{8/(t+2)}....

A:

Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

A:

Q: Find the derivative of the function. (2) = earcsin(z) 3e arcsin(23)22 V1- 25 f'(z) = V1-26

A:

Q: 4 friends purchase an apple pie and a cherry pie to share. Each pie is $12. The 4 friends want to sp...

A: We need to choose correct option.

Q: Consider the following function. f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) = %3D

A: The given function is f(x)=x5-2 we have to find the inverse of the function of f. f-1(x)=?

Q: Given y=5x+2−−−−−√, find the differential dy when x=1 and dx=0.3. Round your answer to three decima...

A:

Q: 3x (g) lim x +1

A:

Q: Given that log(2) ≈ 0.3010, find the value of the logarithm. log(√2)

A: Given query is to find the value of logarithm.

Q: If 4x²-2y²=9, then find dy/dx.

A: Using defination of differentiate

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.138 and y = 0.9...

A: The given function,       Fx=sin3xcos5x

Q: ... What is the value found using the linear approximation? Convert any degree measures to radians. ...

A:

Q: 12. Construct an algorithm that has as input an integer n> 1,n + 1 points and xo, X1,…· Xn ... and a...

A: INPUT: n, x0,...... ,xn, x OUTPUT: ∏i=0n (x-xi)

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x4In(x) given the ini...

A:

Q: Use partial differentiation to find the derivative of the implicit function dy (3x'y-1)+ 7xy = 9 usi...

A: We will use the given formula to solve this question.

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = = (-2, ...

A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

Q: ketch the region bounded by the given curve . y = x², y = 2x %3D

A:

Q: Determine the equation (of lowest degree possible) for the graph shown You may leave your answer in ...

A:

Q: A farmer wants to fence a rectangular pasture next to a river. The pasture must contain 245,000 squa...

A:

Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four decima...

A: In Polar Coordinate ,        x= r cosθ   and    y = r cosθ and      dx dy = r dr dθ

Q: e² sin® (e²) cos' (e²)dx

A: According to question,Given Integral,Let I = ∫ ex sin6ex cos7ex dx

Q: 1/4 1. Find all the values of 3

A: The given number is: i-3314 Now, i-33=-13+i3 Let, -13+i3=rcos θ+i rsin θ⇒rcos θ=-13 &  rsin θ=13...

Q: Use the Geometric Series Test to show that 0.3+0.03+0.003+… converges.

A:

Q: Consider the following. u = 31 + 4j, V = 7i + 6j (a) Find the projection ofu onto v. (b) Find the ve...

A:

Q: x=t +1, y=r -t c) Find an equation of the tangent to the curve at the point corresponding to t = 1. ...

A:

Q: 2.6 Find the inverse of the following matrices. A. 123 В. | -| 3 3 -2 C. Use the found in A. to solc...

A:

Q: 1 -dx 2 xV 64 + 9x°

A:

Q: (2+ 5sec(e3*)tan(e3*) dx

A:

Q: SAQ 1: If f(x) = x² + 5x – 3, show analytically that lim f(x) = f(2). X-2

A: Topic = Limits As per guidelines , At a  time only one question can be answered out of different mul...

Q: Let f(x, y, z) = 6xy- z, x = 3r cos(0), y = cos (0), z = 3r. = . Use the Chain Rule to calculate the...

A: fx,y,z=6xy-z2x=3r cosθy=cos2θz=3r