Find the points on the surface 3x² + 5y² + 2z² = 1 at which the tangent plane is parallel to the plane 2x + 2y + 3z = -7. and

Q: Example 4 (Calculator Active): For 0 ≤s ≤ 5000, the total amount a local college spends on printing…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  where…

Q: Refer to the given figure. Write the radius r of the circle in terms of a and 0.

A: Given diagram:- Here,  θ=Angle

Q: Find an equation of the tangent line to the curve y=4x at the point (1,4)  Tangent line: y=

A: Given query is to find the equation of the tangent line.

Q: 6 5 4 3 نا 2 1 ¦ y = f(x) 01 2 3 Enter each answer as a whole number or a fraction, or DNE for Does…

A: The graph of the function is To evaluate: The values of limx→3+fx-4fx+4, limx→3-ffx+4 and…

Q: Graph the functions ƒ(x) = sqrt(x )and g(x) = sqrt(1 - x) together with their (a) sum, (b) product,…

A: Given data:- The given functions is, fx=xgx=1-x

Q: Find the average rate of change of f1x2 = 3x2 - 2, from 2to 4.

A: Given, fx=3x2-2,    2, 4

Q: Find the area between the curves (Hint: Your answer will be in terms of a.) The area is f(x)=x and…

A: area is=a3/6

Q: For a particular function h, we know h 0 (2) = 6 and h(2) = −3. Write an equation for the line…

A:

Q: Evaluate the following integral using trigonometric substitution. S dx (x²-36) 3/2 " X>6

A:

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: The given differential equation is x-ytan-1yxdx+xtan-1yxdy=0

Q: 1. y' + ytanx = COSX; y(x) = (x + c)cosx; y(π) = 0

A: y'+ytanx=cosxy(π)=0proove that  solution isy(x)=(x+c)cosx

Q: lim asin x→0 | cr x

A:

Q: 5x2+x+4 2 (x² + 2)(x − 6) – dx =

A:

Q: 7. Use the integral test to determine the convergence of the following series: ∞ n=2 n ln n น

A:

Q: 5₁ 4 2 7777 Find Find 7/2 Q The graph of the function f(x) = sec x is given above for the interval x…

A:

Q: Simplify the expression to a single trigonometric function. cot (t) csc(t)

A: cot(t)=cos(t)sin(t)csc(t)=1sin(t)

Q: graph each equation.   3x - 2y = 12

A: Given data:- The given equation is, 3x-2y=12

Q: Describe what nPr represents.

A: what nPr represents:- The permutation is a specific orderly arrangement of the components.

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Question: Please have a systematic way of solnerate solution of the first-order differential…

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

A:

Q: A pizza can be ordered with three choices of size small,medium, or large, four choices of crust…

A: Given data:- There are three sizes, Small, Medium, and Large. They give four choices,  thin, thick,…

Q: 4. Consider Line L with defining equation 2 y - ²x + 1/ . = 6 A. Find two ordered pairs (x₁, y₁) and…

A: see below the answer and calculation

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

A:

Q: 32. Sketch the following vectors, and find their components and lengths: (a) 4i +3j - 2k (b) i+j+k…

A:

Q: In this problem you will calculate the area between f(x) = x² and the x-axis over the interval [3,…

A: a) ∆x=b-an

Q: 2. 8[][

A: The objective of the question is checking the convergence or divergence of the given series.

Q: Another model for a growth function for a limited population is given by the Gompertz function,…

A: The givne growth function for the limited population is dpdt=clnkpp…

Q: f(x)=(2x+1)^4   Find the values of x where the tangent line is horizontal Values of X= ___

A:

Q: graph each function using the techniques of shifting, compressing or stretching, and reflections.…

A: Given, hx=2x-1

Q: Find the total area bounded by the graphs of f(x) = 3x³x² - 10x and g(x) = -x²+2x. O 32 units² O 8…

A:

Q: A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the…

A: Given :- dNdt=-0.069N

Q: 2. y=x+c₁e* + C₂е¯x

A: Given :y=x+c1ex+c2e-x

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

A:

Q: Evaluate the difference quotient for f(x) = −x³ +· O 3x²+3xh-h² O h² O-h² O-3x²-3xh-h²

A: See the details solution in below

Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: Use the Fundamental Counting Principle to solve:A television programmer is arranging the order that…

A: Fundamental Counting Principle:- The fundamental counting principle is a rule used to count the…

Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: 1. If an ((¹+√5) - (¹-√5)n), find a, and a₂.

A:

Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A:

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A:

Q: Find the derivative of the function r = sin(0³) cos(30). dr do

A: Solution

Q: Solve by the method of your choice:Baskin-Robbins offers 31 different flavors of ice cream.One of…

A: Given: n = 31 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: Find the equation of the plane through the point (3, -3,0) that is tangent to the surface xy² + 3ye²…

A:

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Solution

Q: In problems 11-12, express each limit as a definite integral. (they are given using right endpoints)…

A:

Q: Find the equation of the plane that passes through the point (2, 1, -3) and is tangent to the…

A: Given,             x2+4y3+3z2=35 ⇒x2+4y3+3z2-35=0

Q: Find the directional derivative of f(x, y, z) = yz + x¹, at (3, 2, 1) in the direction of = + + k 7…

A: Given Find gradient

Q: 6. Let f(x) = 4x² - x + 2 √x Find the equation of the tangent line (in the form y = mx + b) at x = 1…

A: To find the tangent line.

Q: Graph the function y = sqrt(|x|)

A: Given data:- The given function y= sqrt(|x|)

Q: For the function f(x) = 5x² 2x, evaluate and simplif f(x+h)-f(x) h 11

A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h