Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Foci: (+6, 0); major axis of length 18

Q: a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval...

A: Given that the Mean Value Theorem for differentiation states that if f(x) is continuous on a closed ...

Q: Which Riemann sum represents the illustration shown? AY 32+ 24+ 16+ 8+ X 1 2 3 4 4 o 1 2 2x,² i=1 3 ...

A: The points in the curves can be identified as: x=2, y=8 x=4, y=32 So, the curve represents the funct...

Q: 4. Consider the function g(x) = I +3 a) Find the derivative of g using differentiation rules. b) Ver...

A:

Q: 2x+5 x-1 Solve for the values of x in 323*2 411x+24 and in %3D 64 %3D

A: Given that: 323x2=411x+24        and         1162x+5=164x-1

Q: from o to 9 0.

A: The given curve is: y=x ;           0≤x≤9

Q: Simplify by rationalizing the denominator. 1

A:

Q: What is the integral of f(x) = X within the interval [3, 6]? %3D 5. 4+ 3- 2- 1 O Area = 18 O Area = ...

A:

Q: - 5x + 7, find f(2). Use this to find the equation of the tangent line to the parabola y = 4x2 5x +7...

A:

Q: f(x) = x2 + 4x – 5, x < -2 -

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2...

A:

Q: Let y = y (9-y), y(0) = y,, -0<y<∞ a) Sketch the graph of f(y) versus y b) Find the critical (equili...

A:

Q: The base of the solid is a square, one of whose sides is the interval [0, 4] along the the x-axis. T...

A: Explained below 

Q: Find the average value on the interval 3, 6 of the function whose graph appears below. average value...

A:

Q: Evaluate the integral: V13 – 162"dz (A) Which trig substitution is correct for this integral? 1 Ox =...

A: We have to find

Q: y =2(2x - 3x) 1.

A:

Q: d (ae dx 3lnx 3x -

A:

Q: 2. Consider the graph of g(x)-2+3-1 a Lt anyalues at which g)net dafferentiable Setch the tangent li...

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

Q: Pls help ASAP

A:

Q: Question 15 > Solve the equation below by any method. Give an exact answer, using radicals if neede ...

A:

Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

A:

Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: 3入+3 >4 ) Shetch the qraph of a function f whose domain fs as lase as ssile' and satisliesa lim \im ...

A:

Q: (IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 ...

A:

Q: 82z 82z 8. If z = x + y Inxy, show that x- 8x? δχδν

A:

Q: 1. lim 5* = X-2 f(x) f(x) 5.873094715 3. 125 1.1 2.5 1.3 2.3 1.5 2.01 25.40561478 1.99 24.60086108 2...

A: 1. The given limit limx→25x Note:    Multiple questions are given, we are answer with only one quest...

Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2, subje...

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: direction of maximum rate of increase: Determine the rate of change in that direction. (Give an exac...

A: We have to find direction of maximum rate of increase and rate of change.

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: We have to find P value and point.

Q: 10. Consider the poly (1, 2), (2,3) and the coefficients fo

A:

Q: 4. Consider the curve y=- + 2)" 0<x<1 a) Find the length of this curve b) Find the volume of the sol...

A:

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: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

A:

Q: 5. Using an Elliptic Paraboloid as a Reflector. Instead of being used as a receiver like a satellite...

A:

Q: A person's Body Mass Index is I = , where W is the body weight (in kilograms) and H is the body heig...

A: I=WH2given W is Constant ; W=28I=WH-2differentiate the equation∆I=W(-2H-3)∆H=-2WH3∆H

Q: Find the limit if it exists. lim (3x+ 8) X -4 ... Select the correct choice below and, if necessary,...

A:

Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: When 4x3 - qx2 + 11x -20 is divided by x-2. The remainder is 4. What is the value of q?

A:

Q: 10. Given that p(x) and f(x) are polynomial functions such that p(x) xf(x) + c, determine c if the g...

A: NOTE: Refresh your page if you can't see any equations. . here p(x) and f(x) are polynomial function...

Q: Use the following information to answer the next question Observe the following graphs: Graph A Grap...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, graph A represents a cubic ...

Q: ∫pi/6pi/2 cot2x dx

A: ∫pi/6pi/2 cot2x dx

Q: 2) tan-l 1 Vz 4) sin-! 6) tan-1V3 8) tan-l 0 V3 10) sin-! V3 12) tan- 2. 2. 3.

A:

Q: 775 7x - 8x + 5x' If f(r) find f'(z)

A:

Q: 4. S(x) = log,(-x)

A:

Q: (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily requirements ...

A: i) It is required to write the system of three equation using information in the given table. It is ...

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

A:

Q: If f(r) and g(x) are differentiable and y = horizontal tangent line at z f(r) has an x-intercept at ...

A: We have to choose correct one.

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: Complete the differentiation formulas a) d/dx(c)= b) d/dx(ax+b)= c) d/dx(x^n)= d) d/dx(1/x)= d)...

A: We have to find derivative

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $1...

A: Given query is to make system of equations and solve them to find the number of each ticket sold.