A. Find the equations of the intersection line between the planes 3xyz2 and x-y+2z = 3

Q: Use the Chain Rule to find the indicated partial derivatives. = x² + x²y, x = s +2tu, y = stu²; Z =…

A:

Q: Find the factors of 24

A: We need to find factor of 24.

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Therefore, the required answers are a) dxd​(x​f(x))x=4​=3b) dxd​[f(x)g(x)​]=9112​ Explanation:Step…

Q: Find the values of x, y and z that correspond to the critical point of the function: +5g f(x, y) =…

A: .

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Thus, the equilibrium point is (x,p)=(3,112).The consumer's surplus at the equilibrium point is…

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Determine the + intervals on which the curve x = 612, y = 13-31 is concave downward or concave…

A: x=6t2 ,y= t3-3tWe have to find interval of to for concave downward and concave upward

Q: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: #9: Use the method of variation of parameters to find a particular solution to the following…

A:

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The expression N = grad(s) means that N is defined as the gradient of the scalar function s. The…

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact…

A: ​Area of the region =317​ unit2​Explanation:Step 1:​Region is enclosed by the…

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation…

A: The objective of the question is to find the vector equation of a line that passes through a given…

Q: Find the fourth degree Taylor polynomial, P4(x), for f(x) = ln(x + 1) centered at x = ( = 0.

A: f(x)=ln⁡(x+1) centered at x=0.Taylor series centered at x=a is given as f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

A:

Q: 1. Evaluate each of the following integrals. If partial fraction decomposition of the rational…

A:

Q: Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f.…

A: Consider the following.a) Find the gradient of f.b) Evaluate the gradient at the point P.c) Find the…

Q: If a demand curve is modeled by p = 6- $2.80. find the consumer surplus when the selling price is…

A:

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: I have a set of vectors in R^2(i.e. two-dimensional vectors) such that the scalarproduct (the same…

A: The maximum number of vectors in your set in R², where the scalar product of any two vectors is…

Q: If then 0 0 0 t:9- 0 0 0

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Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

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Q: Find the first partial derivatives of the function u(r,t) = 3 sin(r cost)). 1. ur(r,t) = = 2.…

A: Explanation is given below:Explanation:

Q: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…

Q: A company selling widgets has found that the number of items sold, a depends upon the price p at…

A:

Q: y= log(ln(2x)) , and explain why there is no y-intercept.  (an explanation of the problem and how to…

A: No y-intercept Explanation:

Q: Find f'(x). f(x)=7ex+2x-5 Inx

A: The objective of the question is to find the derivative of the function f(x)=7e^x+2x-5 ln(x). The…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Given that A(-1,1,1)B(2,0,3)C(3,3,-4) are 3 vertex of a triangle then Side AB…

Q: (a) Let vt) be a differentiable vector valued function of t. If v. dy = 0 for all t, can we say…

A: The objective of the question is to determine if we can say anything about the magnitude of the…

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed

A: So the required answer is t=25.60 [rounded to the nearest hundredth]Explanation:Given that…

Q: 2x-3 Draw a graph of f(x): == +1 by first placing the horizontal and vertical asymptotes, then…

A: The given function

Q: Use the equations OF JF дг дх Əz ду and дх OF ду OF dz Əz Əz მz to find and дх ду ez = 6xyz II || მz…

A: ​∂x∂z​=ez−6xy6yz​∂y∂z​=e2−6xy6xz​​Explanation:Step 1:​Given an implicit function.ez=6xyzTo find: The…

Q: f'(x) = f(x) = In[x(x+2) 4 (x² + 6)⁹]

A: The derivative is: f′(x)=x(x+2)(x2+6)31x3+54x2+78x+108​Explanation:The given function…

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

Q: Please review and solve problem 1 part 'a' and 'b' and explain how the answer was found. Problem…

A: 1(a)xcos(x3)=∑n=0∞​(2n)!(−1)nx6n+1​=x−2!x7​+4!x13​−6!x19​+...1(b)∫01​xcos(x3)dx=21​−161​+3361​=0.440…

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to 4 decimal places?

A: The objective of the question is to round the number 536.48 to 4 decimal places.

Q: Give an example of a divergent alternating series satisfying only Condition (ii) of the Leibniz…

A: ∑n=1∞​(−1)nn+2n​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Question 9: Using the fact that 2-1 and the identities: and cos(x)=(-1)" n=0 22n (2n)!' x2n+1…

A: Given: To Find: To show that

Q: The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the…

A: The required volume is:V=0.05 cm3Explanation:The given expression for the volume is: V=∫0R​v(2πr) dr…

Q: 8sin 75 = 4

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Q: For time t = 0, the velocity of a particle moving along the x-axis is given by v(t) = cos(8e-0.2t).…

A: Given that the velocity of a particle moving x-axis is and initial position at

Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

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Q: dy Use implicit differentiation to find without first solving for y. dx x² + y³ = 1

A:

Q: help

A: a. 605b. 600Explanation:a. The average value of a function is found by taking the integral of the…