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Q: dy Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx y= Write…

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Q: 16) Write a possible expression for a rational function, whose graph is below: 4 Y 3 2 1…

A: see below the answer and explanation

Q: A landowner has 1200 ft of fencing material with which to enclose a rectangular space immediately…

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Q: 3. Let x, y be any two vectors. Assume that ||x+y|| = |x|| = ||y|| Find the angle between x, y.…

A: **As per our guidelines, we are supposed to answer only one question at a time.  Therefore, we will…

Q: 3x+1=32

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Q: Find the point P on the line y = 3x that is closest to the point (50,0). What is the least distance…

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Q: Find af af Әх' ду af ду f(x, y) = 7(x2 + y2) log(x2 + y2), (x, y) ≠ (0, 0) af Әх for the following.…

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Q: Evaluate the following indefinite integral by making the appropriate trigonometric substitution. Be…

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Q: 2. Evaluate the integrals 1 zx+z a) b) c) 6xzdydxdz 000 3 1 √1-z² SSS zey dxdzdy 000 1 2x y [ […

A: To find:- ∫01∫0z∫0x+z6xzdydxdz ∫03∫01∫01-z2zeydxdzdy ∫01∫x2x∫0y2yxzdzdydx

Q: (a) y = x Differentiate the following functions, giving your answer in a similar form, without…

A: Note:As per our guidelines we are supposed to answer 3 subparts if there are multiple subpart…

Q: find volume of shell y=x y=x^2 over x axis

A: This is equivalent to rotating R2 about the line y=0. Since neither of the curves are touching the…

Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: Find an equation of the tangent plane at the given point: F(r, s): - (27²+¹), (-2,1) N ==

A: Given function:- Fr,s=-2r2s0.5+1s4

Q: -14T +7-4x 2. (a) Evaluate lim (b) Determine the equation of the vertical asymptote of f(x) = -14x

A: 2a)

Q: 3. Evaluate the following integral COS X | sinx+cosx sin x + cos x O a. In\sinx + cosx| + C O b.…

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Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be the a side of the square base and y be the length of the package.

Q: Use the steps to curve sketching to graph the following functions 3.) f(x)=x²-12x+36

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Q: Find values of m and b such that: f(x)=x2+1          if x=1 is differentiable.

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Q: Evaluate the double integral is the region in the first quadrant enclosed by the circle x² + y² = 36…

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Q: For the given function, find all values of c over the interval (4, 8) stipulated by Rolle's Theorem…

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Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. $2 per foot $6 per…

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Q: Match the vector field with its graph. F(x,y) - d + 30 트 토 ++ 11/

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Q: KW. Solve the following 3....2 X... DX. + Xdy - where you... ************

A: By using exact diffential equation

Q: Find the derivative of the function y = -7-5x. dx =

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: 5. Only

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Q: h(x)=-ln(x+2)

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Q: -uppose y = anx on an open interval I that contains the origin. Express the n=0 ollowing as a…

A: We have to find out

Q: Given the series: Σ(-1) k does this series converge or diverge? converges diverges If the series…

A: We can solve this problem by using Geometric series test or Cauchy's nth root test.

Q: Find the derivative of the function f(x) = f'(x) = sin x 1 + cos x 2

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Q: 1) Aşağıdaki fonksiyonların Maclaurin Serisini bulunuz. a) f(x) = ln(x) b) f(x) = ln(x+1)

A: See the answer below

Q: Solve the following exponential equation without using logarithms. 2-5X _{ = 8 The solution is x =…

A: Given that without using the logarithm we need to solve the exponential equation  2-5x = 8

Q: 1. Let v, w be any two vectors. Prove that ||v + w||² - ||v − w||² = 4v. w W (Hint: Use properties…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: What is the derivative of h(t) = 5/t + 6/t^2?

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Q: Problem 6e. Practice. Find the Derivative of the following function: F(x)= C08 (2x) Le-Sin (2x)…

A: Given query is to find th derivative.

Q: sing technology. from smallest to largest x. If an answ lest to largest x. If an answer does no

A:

Q: y 5 sin(x) cos(x) + 4 csc(x)

A: Given query is to find the derivative of the function.

Q: 29. Convert a complex number in polar form shown below to a complex number in standard form (a +bi).…

A: At first we find value of cos 15 and sin 15 then we simplify the expression.

Q: Given f(x)= x-2 ex a) Determine on which intervals f(x) is increasing. b) Find the…

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Q: A million built a 190 an allien spre- specie's years ago vertical tower on a horizontal plane

A: Concept: The angle between two vectors a and b is given by cosθ=a·bab where a·b is the dot product…

Q: Evaluate Jc F. dr. F(x, y, z)=x² + y²j+z²k C: r(t) = 5 sin(t)i + 5 cos(t)j + Ostsn

A: Given: Fx,y,z=x2i+y2j+z2kC: rt=5 sin t i+ 5cost j+t22k   , 0≤t≤π.We need to evaluate ∫C F. dr

Q: a) Sketch a graph for the polynomial function. You must include all key features of polynomial…

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Q: late the integral, if it converges. If it diverges, enter diverges e5x 1+e5x dx

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Q: 20. Let g(x) = x³. a) Find the linearization L(x) of g at a = 4. b) Use the linearization to…

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Q: Consider the integral 1° If the integral is divergent, type an upper-case "D". Otherwise, evaluate…

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Q: Using transformations to graph and state the domain and the range of the following y 1)f(x) = log2…

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Q: 3. A sample of paraffin wax is being heated in a laboratory. The tem- perature of the paraffin is…

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Q: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

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Q: Use a double integral to find the area of one loop of the 2 cos(30). rose r =

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Q: Evaluate the following integral, where R is bounded by x = 1, y = 2x + 4, and y=-x-2. SS₂² dA R

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