Show that the pyramids cut off from the first octant by the tangent planes to the surface xyz=5 at points in the first octant all have the same volume. Hint: V=1/6lwh

Q: Use implicit differentiation to find Əz/ǝx and Əz/ǝy. x8+ y + z³ = 8xyz дх 88 || მ მყ ||

A: The required answer is given below.Explanation:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

Q: Suppose for a particular commodity, & = 0.33 and that currently 50,000 units are selling for $6…

A:

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

A: The |v| is constant. Explanation:Step 1:

Q: Prove that the equation re* = x² - 1 is solvable.

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one?…

A: To find whether the given graph is one to one ?

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ +…

A: Answers :: Part -> (A)S′(t)=0.15t2+1.6t+3 Part -> (B)S(6)=66.6S′(6)=18Explanation:Sol)

Q: The Taylor series for f(x) = e* centered at x = Find the first few coefficients. -2 is Σ Cn (x+2)".…

A: Given that the function is               We need to find the Taylor's series expansion at x =-2.

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: (A)   The average change in revenue, if production is changed from 1,000 car seats to 1,050 car…

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 1: The answer is option a. ((10,−6,−3)+s(1,2,−2)​)Question 2:The correct answer is option…

Q: Find the volume of revolution by rotating the region bounded by y=4^x, y=0,x=0,x=2 about the line…

A: Region is bounded by y=4x,y=0,x=0,x=2Rotating the region about y=−1Using the washer method

Q: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5) and is…

A: The normal form of the equation for the desired plane is:6x−y+2z=12Explanation:To find the normal…

Q: Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a…

A: The objective of this question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 1) The investment will be worth approximately $15,963 at maturity.2) It will take approximately 4.1…

Q: Consider lim,-6 f(x), where f(x) = 7x+9. Find a maximum value of 6 such that: If(x) 511 <0.003 if |x…

A:

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Answer is given below :-Explanation:

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: Help! This one question with four parts. I really need help.

A: (A) limx→3−​f(x)=0 (B) limx→3+​f(x)=0 (C) limx→3​f(x)=0 (D) The function is not defined at…

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 a rational function that may have the given graphs.

A: f(x)=(x+4)2(x−2)2(x3+x)17(x−1)2(x+2)2​Explanation:I attached my solutions below, I hope this can…

Q: If f f(x) dx = 7 and = 7 and f f(x) dx = −7, then √ f(x) dx = _ ? (Answer accurate to nearest…

A: Answer      -14Explanation:For any query with the solution, please ask in comment box.

Q: Find the derivative of the function. x+2x-2 y= x-2x+2 OA. y=. OB. y'. O c. y=. 4x-8x (x²-2x+2)² OD.…

A:

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A: Horizontal displacement at D is 6.667mmExplanation:Step 1:Step 2:3)

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t + 10…

A: (a) Compare the  and  to get

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: If possible, can you provide me with a summary (2-3 paragraphs) that explains surfaces, functions of…

A: The objective of the question is to understand the connection between surfaces, functions of…

Q: Consider the following list of activities with time (in months) Activity A B C D E F…

A: C) Variance of project completion time is  6.0 months2D) The probability of completing is…

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A: The height of cylinder is increasing at a constant rate of 8cm/minVolume is increasing at a rato of…

Q: No hand written responses.

A: (A) N is discontinuous at t2, t4, t5, t7 and t8 . (B)Option A. limt→t6​​N(t)=4 Option A. N(t6) = 4…

Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

A:

Q: y = (lnx + C)/x is a solution to the differential equation (x^2)y' + xy = 1 a) Find a solution a…

A: please see the attached solution belowExplanation:Hope it will helps youplease ask if you gets any…

Q: Wind chill index is determined by temperature and wind speed. That is W=f(T, v) in deg Fahrenheight.…

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Q: Find the limit, if it exists, or type 'DNE' if it does not exist.

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 3Answer : option DQuestion 4Answer : option D none of the above Explanation:Step 1:Question…

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

A: All solutions to the given question are explained in the explanation section.Explanation:Solution 1…

Q: Find the center of mass for the lamina of uniform density bounded by x=4-y2 , x=0. Use symmetry if…

A: FINAL ANSWER:The centre of mass for the lamina of uniform density bounded by X=4-y^2,x=0 is…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: The surface are is  2π∫03​3x31+x4​​dx=258.85Explanation:Steps and explanations are as follows:In…

Q: Suppose you sell skateboards and equipment. Grip tape costs you $2 for each foot, Each set of wheels…

A: Let G, W, B, T, and D represent the amount of grip tape, wheels, bearings, trucks, and decks…

Q: dy Use implicit differentiation to find without first solving for y. dx x2 4 dy da + = 25 y² = 1

A:

Q: Suppose for a particular commodity, & = 1.4 and that currently 30,000 units are selling for $18…

A:

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: 1) Find the equation of the tangent plane to a)z In (10x² + 2y² + 1) at P(0,0,0) b) z = f (x, y) =…

A: Ans 1)a. z = 0b. z = √2(4x+4-π)/8Explanation:

Q: Determine the value of k for which f'(3)-2, if f(x) = x+*. x-1

A: Given a function,f(x)=x+kx−1To find : the value of k for which f′(3)=2.Using the quotient…

Q: dy 1. Find if y is a differentiable function of x and dx 2x4x5 tany = 5y6 - 3

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Givne that the region is bounded by a curve  and line