log;X + (Arcsin5x)³ b. w = + (Arcsin5x)³

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A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y?, (6,…

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A: First draw the diagram then find the interval and last intergate it.

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Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: tan-(n) Consider the series 1+n² n=1 Show that the series satisfies the conditions for integral…

A: Integral Test:If f is a continuous, positive, and decreasing function of x on the infinite interval…

Q: s given by Archimedes be the volume of the object, p the weight density of water, and g the…

A: Follow the procedure given below.

Q: Use the 3rd Degree Maclaurin polynomial for g(x) to approximate the value of 0.2 cos(0.1). = x COS…

A: Here, the given function is: g(x)=x cosx2 Now, we know the series of cos x, the series of cos x is:…

Q: f(x) dx = | IS(x)| dx =

A: Integration is the area under the curve and x-axis.

Q: Q3) Evaluate triple integral N S dz dx dy . x-y

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Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: Find and dx d²y then simplify whenever possible. dx2 1) y = 3t5 – 2t , x= 4t³ |

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

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

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Q: do 3 (6eº + 1)3

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2…

A: For solving This question I found direction cosine using dot product as two perpendicular plane is…

Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin e) +1 in…

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Q: [ 3x3-2х2-4х-3 х2 (х2+x+1)

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Q: A box is designed so that 4 cans of soup fit tightly into the box, as shown below. ABLE VEGETABLE…

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Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: 5. y = Arctan²(x³) 6. y = Arccos (

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Q: 1 Given that 1 1 with > x" with convergence in (-1, 1), find the power series for - r. n=0 center 3.…

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Q: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

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Q: 3-22 – 47 – 3 dr 2(r² +s + 1)

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Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

A: Given,            The cost in dollars for removing p percent of pollutants from a river in Smity…

Q: Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2 cos(0.1).…

A: We have to find 3rd degree polynomial for the given function.

Q: e20 -do 1+ 3e20

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: Identify and sketch the graph of the following equations in R. (a) r? + 2y? + z2 – 8x + 12y - 2z +…

A: answer is in next step

Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

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Q: х2 — 6х + 9 dx V6x – x²

A: Given,           ∫x2-6x+96x-x2dx

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Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

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Q: Q7. Construct an undirected retwork diagram using the given set of nodes and arcs: Nodes (A, B. C.…

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Q: 1 vn Vn + 1, n=16

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Q: Evaluate the definite integral. "1/4 9 + 5 cos?(8) cos?(e) de

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Q: .4 sec'x (V tan³x + 1 ) dx

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

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Q: x- 2 7) dx =

A: integration

Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

Q: 4 ds = 1 2.

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Q: Determine all critical points for the following. Identify the absolute max/min. a) y = 2Vx + 1 - x…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: f(x) = 2"[In(cot(x³))]5

A: