Find an equation of the plane with the given characteristics. The plane passes through the points (4, 2, 1) and ( 1, 9, 9) and is parallel to the z

Q: valuate lim v9x² – 5x + 3x

A: Given: limx→ -∞ 9x2-5x+3x

Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

A:

Q: nd the average value of the function over the given interval. (Round your answer to three decimal…

A:

Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

A:

Q: x² sinh x dx

A: Let's find.

Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

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

Q: Area. Suppose the area of a circle is decreasing at a rate of3m2/sec, the rate of change of the…

A:

Q: Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions…

A:

Q: Change the following polar coordinate points into rectangular coordinate points. Leave all answers…

A:

Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction V -6…

A: This is a problem related to vector calculation. Based on the general formula we will answer the…

Q: Jx + 2x f(x)=- 7х — 4х? 8.

A:

Q: 25. A hemisphere has a radius of 3 cm. Draw complete with labels the cross section with equation of…

A: the derivation of moment of inertia is given as follow but mass is misssing.

Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

A:

Q: Question Given the function of f(x) = -4x2 - 5x + 1 on the interval [-5, -2), find a point c between…

A:

Q: Given the power series expression Σ 4 n x" + 2 n (n - 2) x" n = 0 n = 3

A:

Q: - Find the general solutions of the differential equations 6. x3 + 3y – xy' = 0 7. xy² + 3y² – x²y'…

A:

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: Determine the integral of the ff. fun 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A:

Q: d d Calculate ri(t)·r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: In the given problem first we differentiate the product directly & then we use the formula for…

Q: (a) Graph the equations in the system. (b) Solve the system by using the substitution method. (x+3)°…

A: Using substitution method.

Q: Find an equation for the ellipse. Graph the equation. foci at (0, + - 1); length of major axis is 18…

A: We have to find the equation of an ellipse

Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

Q: Integrals. Given that -1 5 | f(x) dx = -1 and -5 f(x) dx = -4, f(x) dx = 8 -5 5 what is 2F(x) dx? O…

A:

Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

A: Let's find.

Q: Graph the following equation by completing the table. r = 3 + 3sin0 0° 30° 90° 150° 180° 210° 270°…

A:

Q: Find an equation of the plane through (0, -9, – 1) that is perpendicular to the line x - 2 = 3t, y +…

A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A:

Q: Consider the following. u = (6, -1, 0) v = (-2,3,0) Find u x v. Determine if u x v is orthogonal to…

A: Explanation of the answer is as follows

Q: 3x2+10ху + 3y3 = = 11

A:

Q: Find the angle 0 (where 0° < 0 < 180°) between the following vectors. Give your answer accurate to…

A:

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

A:

Q: 2x3 – 12x2 + 10x its. Evalute lim rounded to 4 decimal places. X→5 x2 - 7x + 10

A:

Q: 4 Suppose that r + y* = 82. dy (1) Use the method of implicit differentiation to find da dy dx (2)…

A: Please see the answer below.

Q: hplete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx | (tan(x))7…

A:

Q: Use implicit differentiation to find the specified derivative at the given point. Find dx dy at the…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (70) de…

A:

Q: You are driving away from home. At​ noon, you are 216 miles away. Your velocity​ (miles per​ hour)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 12. Find dy for y = sec (3x). %3D

A:

Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral — 2х dx with n = 4…

A:

Q: 7 on the interval [1,4], find a point c between 1 and 4 so that it satisfies the Mean 2x Given the…

A:

Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

A:

Q: 5- 3x? Evaluate lim x-00 (2-x) (x+ 2) does not exist O NONE OF THESE -3 3 O O o O O

A:

Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

A:

Q: f(x,y) = 3y3 – 2xy + 12y – 3x² – 8x – 16 then fy equals ух

A:

Q: The radical center does not existif the circles are concentric TRUE FALSE

A:

Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

A:

Q: Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of…

A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

Q: Evaluate y+z) ds along the curve r(t) = 2ti + tj + (4 – 2t)k, 0sts1.

A: