Locate the centroid (x coordinate only) of the parabolic area.

Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b) Re...

A: The solution of two parts are given in the next steps.

Q: Find each value of e in degrees (0° < e < 90°) and radians (0 < e < 7/2) without using a calculator....

A:

Q: Find the indicated derivative. 11) Find y " if y = 3x sin x. A) y " =- 3x sin x C) y" = - 6 cos x +3...

A:

Q: 23Tt 4) sin - 6. 10 6) sin - 3 8) csc -5T

A: NOTE: Refresh your page if you can't see any equations. . use the property of cot function  use t...

Q: Find the augmented matrix of the following system of linear equations: X2 + x4 = 2 3x1 – x2 = -1 %3D

A: NOTE: Refresh your page if you can't see any equations. . given equations are . rewrite the system...

Q: Find the derivative of the function by first expanding or simplifying the expression. 5x2 + 45x 2) f...

A:

Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)- si...

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx =4+4dydx⇒dydx(cos(1y)+1ysin(1y)-4)=4⇒dyd...

Q: Which integral would represent the area shown? AY 4 3 2- 0.5 1 1.5 (-x² + 3) dx Lo (-x³ + 3) dx 2 L ...

A: NOTE: Refresh your page if you can't see any equations. . here the parabola opens downward so the le...

Q: If f(x) = 5-(3/x)+(1/2x^2), then f'(x)

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: What is a function, in your own words? Give an example to back up your points.

A:

Q: |x| for x 2 10. g(x) = %3D

A:

Q: Find derivative

A: To find the derivative of:fx=2x+54+3x+53+x+52+4

Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)...

A: Using derivative formula.

Q: Figure 1 below shows the region R bounded by the curves y 4x, y =-4x and the line y =2. Determine th...

A: Given that, There is a graph between two function y2 = 4x, y2 = -4x and y = 2. We have to Find the a...

Q: lim 9-t 3-1T

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: 1. Use the definition of partial derivative as the limit of a difference quo- tient in order to comp...

A:

Q: 2х-1 c) Consider a function f(x)= Find х - 2 the vertical and horizontal asymptotes, i) ii) the inte...

A:

Q: Find the derivative with respect to x of f(x) = 2(x + 5)* + 3(x + 5)° + (x + 5)² + 4.

A: The given function, f(x)=2x+54+3x+53+x+52+4

Q: trigonometric functions (alway decimal approximation (unless a) cos b) V3 sin- V3 c) cos

A: As per guidelines if multiparts questions are posted we are allowed to solve 1st three parts....so f...

Q: Write a full solution Let consider the following function: f (x) = 2(x + 1)^2 −8. A) Find the x...

A: topic - x and y intercept of a function

Q: Figure 2 shows the shaded region S bounded by the curve x = y² – 2y + 1 and the line y = 3. Find the...

A:

Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B...

A:

Q: Find the interval

A:

Q: Determine the minimum and maximum values of the following differential equation  X1=X3+3x2-8x+7 X2...

A:

Q: 0.3 0.6 0.9 1.2 1.5 h(q) 19 30 46 73 114

A: To find the h'(0.90), means calculate slope between [0.6,0.9] h'(0.90) = h(0.9)- h(0.6)0.9-0.6=46-30...

Q: if theta is the angle between the vectors V and W in R3, then the tangent of theta is equal to (V cr...

A:

Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2 C...

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find the volume of the solid whose base is the semicircle y = v4 – x2 where -2 <x < 2 and the cross ...

A:

Q: 4. Use the arc length formula to show that the length of a linear function f(x) = mx +c on the inter...

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: a). Solve the linear congruence of 231x = 147 mod 598 .

A:

Q: The polynomial function f(x)=ax3+ mx2-6x has intergral zeros.The graph of f(x) passes through the po...

A:

Q: Graph the following functions : V4- x ,-2 s xs2 f(x) x-2 (-(x + 2),-2 sxs0 (1) 0sxS2 (2) y-4 sin3x

A:

Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4 -2(...

A: Given:        y= x+12x2+1-3

Q: Find the average value of f(x) = x² /57 + x³ on the interval [0,4]. favg = Report answers accurate t...

A: Find the average of the function  f(x)= x2√(x3+57) on interval [0,4] 

Q: 6. Suppose h(r) = (f(r) + VT) · g(r), f(4) = 3, g(4) = -1, and f'(4) = g'(4) = 5. What is h'(4)? Exp...

A: Given h(x) = (f(x)+x )·g(x)h'(x) = d( (f(x)+x )·g(x))dx

Q: ute the directional derivative in the direction of v at the given point. S(x, y) = eY-³°, v= (12, –5...

A: We are asked to find the directional derivatives.

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

A:

Q: Find the area between y=1.2x+2y=1.2x+2 and y=x2−4y=x2-4. Round your limits of integration and answer...

A:

Q: Find y'. 4) y = (5x3 + 5)(5×7 .7) A) 250x9 + 175x6 - 105x2 C) 20x9 + 175x6 - 105x2 B) 250x9 + 175x6 ...

A: The function is given by y = 5x3+55x7-7 To evaluate: The expression of y'

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

A:

Q: b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown ...

A:

Q: Which Riemann sum represents the illustration shown? AY 4 3.

A: The given figure is:

Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: ∫pi/6pi/2 cot2x dx

A: ∫pi/6pi/2 cot2x dx

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

A: The given sequence is:  8, 7, 6, 5, 4, ... 

Q: f(x) = x2 + 4x – 5, x < -2 -

A:

Q: Which Riemann sum represents the illustration shown? 2.25 1.75 1.5 1.25 0.75 0.5 0.25 0.25 0.5 0.751...

A: