Use the First Derivative Test to find the location of all local extrema for the function given below. Enter an exact answer. If there is more than one local maximum or minimum, write each value of x separated by a comma. If a local maximum or local minimum does not occur on the function, enter Ø in the appropriate box. 10x3 f(x) = -7+ 20x² + 3

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: Kindly write the step by step solution. Two particles, A and Bare in motion in the xy-plane.…

A: Two particles,A and Bare in motion in the xy-plane.Their coordinates at each instant of time t…

Q: 4- 2- 2 3. To find the blue shaded area above, we would calculate: f(z)dz = area Where:

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (2, 15, -4) Vw(2, 15, -4) =…

A: Use gradient formula and partial derivative formula for finding the gradient.

Q: The solution is y = (Type an expression.)

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Q: The percentage of P doctors who accept a new medicine is given by P(t)=100(1-e^-0.16t) Where t=time…

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Q: Question Determine where the local maxima and minima occur on the graph given. 12 10- 8- -12 -10 -2…

A: From the given graph we can see that there are two local maxima.

Q: Use logarithmic differentiation to find dy/dx. y = x6/x dy %3D dx II

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Q: Find the indefinite integral. 5. 3 dt 12 +C

A: Formula: ∫(1/x) dx =lnx ∫xndx = xn+1/n+1

Q: n3 - 2 1. Find Lt n+0 2n° + 3n - 4

A: Simplify the fraction and solve the limit.

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Q: 2) Calculate each of the limits by considering logarithm of the limit first. a) lim x'n x x→0+ b)…

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Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: State the answer using combinations. c) The number of edges in the complete graph K21. d) How many 7…

A: We will answer only part c, d and e because you have mentioned to solve only these three.   Complete…

Q: Consider the triangle shown in the figure. Let A = 11 and B = 5 (in feet) and the angle 1 = radians.…

A: Consider the triangle shown in the figure. Let A=11, B=5 in feet and the angle t=π4 radians. To…

Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

Q: 5. Find y' * xY = y*

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Q: x10 14) cos Vt dt )음 COS

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Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: 164 24 7. 8. 88

A: Given

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Q: Use polar coordinates to evaluate the double integral int int _R (4+x) dA , where R is the region…

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Q: Finding a Limit In Exercises 11-28, find the limit. Use a graphing utility to verify your result.…

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Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: y 71. f(x, y) y %3D

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Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 5z + 10 =…

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Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. NOTE:…

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Q: 3. Find the Volu me oF the (olid generated by revoluin g ab out the y-axis the region bounded the…

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Q: x+2 lim sin - x+6x+8 3 2.

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Q: (d) (.9.z) = arctan(y/F) + sin (3 + ry-5y).

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

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Q: M=N

A: answer is in next step

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 1 +t and L2 : x = 1 + 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=2-t, y=2t, z=1+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: 6. Find the area under the curve f(x) = 4x + 2 over the int erval [1,5]

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Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k…

A: The given vectors,u=-9i-2j-4k, v=4j+4k

Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

Q: Let z(x, y) = xy where x = r cos(20) & y = r sin(30). dx dy ду az & dr az Calculate by first finding…

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Q: - The rate of change of the monthly profit for a new company is given by the function P'(t) = 200VE…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (7,…

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Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

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Q: Let A(z) represent the area bounded by the graph, the horizontal avis, and the vertical lines att=0…

A: Given data÷

Q: Apply region based segmentation for the sequence: F={7,5,9,1,10,2,9,12,4,11,3,17,16,19,15}…

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Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

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Q: This question has three parts. Answer each part correctly to get the next part. We will find a…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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