х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) = y 20

Q: dy Find Use logarithmic differentiation whenever appropriate. dx (1+x – x²)³ - sec 4x (x – log x)6

A: We will use logarithmic differentiation to solve this question.

Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

A:

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

A:

Q: find dy/dx for the function

A: Given,            yx=x232x-x2To find : dydx for the function.

Q: Find the derivative of the function at Po in the direction of A. f(x.y) = 5xy- 5y", Po(-7,-2), A= - ...

A:

Q: Ivan B. Garcia TOPIC : INTEGRAL AS ANTIDERIVATIVE TECHNIQUES OF INTEGRATION: TRANSFORMATION BY TRIGO...

A: As per bartleby guidelines we only give first question answers. 

Q: sider the following planes. 3x + 6y - z = 84 x - 12y + 2z = 0 (a) Find the angle between the two pla...

A: Solve

Q: _5. 2/xy = 3 ху

A:

Q: A right circular cylinder has a fixed height of 4m. Find the rate of change of its volume V with res...

A: Let h and r denote the hieght and radius of base of the cylinder.1

Q: (a) lim f(x) X-2" (b) lim f (x) (c) lim f (x)

A:

Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A:

Q: Implicit Differentiation. dy There is need to simplify. da Use implicit differentiation to find a. c...

A:

Q: 5. Show that, in the region bounded by y = Vx and y = x2 the following double integral 3 (х + у) dA ...

A:

Q: Given vector u = (6,6) and v = (-1, –5) , determine the value of 2u + v in component form.

A: Explanation of the answer is as follows

Q: 2 S- /x² +y? and z= /x? +y? volume V = | T Enter an integer or a fully reduced fraction such as 1 , ...

A: Volume , V = ∫∫∫dV = ∫∫∫R dz dy dx

Q: N3 + 4 N4 N2 to evaluate the limit. 4 Use linearity and the formula 2 j=1 N 24 lim > N4 N→∞ i=1 (Exp...

A: This is a problem related to limit of the function based on the general formula and concept we will ...

Q: S sinxcos(2x)dx

A:

Q: Consider the series > an where n=1 (бп + 3)(-10)" an = 137+3 blem you must attempt to use the Ratio ...

A:

Q: 1. Consider an optimization problem How are the augmented matrices for a minimization and dual maxim...

A:

Q: 3. fx3 sin x dx

A:

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: Calculate the integral, assuming that ' f(x) dx = -1, f f(x) dx = 2, S* f(x) dx = 9. (Give your answ...

A: Since,∫abf(x) dx=-∫baf(x) dx

Q: Find the component form ofu +v given the lengths of u and v and the angles thatu and v make with the...

A:

Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: OM 3. In the differential equation (y – x - 4x-1kdy + 2y(x+ y+2kdx = 0,

A:

Q: 'ind the area of the triangle with vertices P(1, 3, –3), Q(0,0, 0) and R(4, 5, 1). TOTE: Enter the e...

A:

Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

A:

Q: given the curve: y = 4cos3x - 3cosx, find the following values of x (from 0 to 2pi radians) when y ...

A:

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

A:

Q: ÔM ÔN 4. In the differential equation (y -x – 4x -1dy+2y(x+ y+2)dx = 0,

A:

Q: (-5t -2st5-1 Given that f (t) ={2At– 2B, -1<t<l_ . 6–13t t21 Find the domain of f (t). Find the valu...

A:

Q: Match the second-degree equation to its graph. A. C. r² + y? + 2? – 2x + 2y + 4z + 6 = 0 r² + y² + z...

A: A The equation is x2+y2+z2-2x+2y+4z+6=0  x2+y2+z2-2x+2y+4z+6=0x2-2x+y2+2y+z2+4z=-6x2-2x+1+y2+2y+1+z2...

Q: 2. Consider the following code fragment: How many times will the variables i be assigned a value whe...

A:

Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" o...

A:

Q: x² +6x, x< a Find all values of a such that the function, g(x)= is continuous 2x-4 , x2 a everywhere...

A:

Q: Question 1: For each of the following Fibonacci-style sequences, find the next 4 terms. (а) а, 4а, 5...

A:

Q: Consider b sin() dx where a, b E R. Which of the following selections result in the integral evaluat...

A: I=∫ab sin2x5π dxI=1π-cos2x525abI=52π-cos2b5+cos2a5I=52π2 sin2b+2a5(2)sin2b-2a5(2)I=5π sin(b+a5) sin(...

Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $50/f...

A: Given query is the length of x and y.

Q: 1. e (3xy-x)dx+e dy 0; when x = 0, y = -1 4 Ans. y =--e* 3 3

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A: x=3t1y=2-t1z=-1+t1andx=1+4t2y=-2+t2z=-3-3t23t1=1+4t2  ...(1)2-t1=-2+t2 4-t1=t2  ...(2)-1+t1=-3-3t22+...

Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

A:

Q: Current Attempt in Progress Find unit vectors that satisfy the stated conditions. NOTE: Enter the ex...

A:

Q: Cos 3n (8) Σ 1+ (1.2)" n=1

A: Given problem:-     To find:- Determine whether each of the following series is convergent or diver...

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A:

Q: fa cos (6x) cos (3x)dx

A:

Q: Evalwate the Integral Sin (x" +y2) dydx

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A:

Q: Please answer organize and detailed. Integrating factors found by inspection: (xy³ + xy)dx + (x²y² −...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: