Find the slope of the line tangent to the curve y = 5ª³ at x = 1. 5 15 In 5 5 ln 5 O ln 5

Q: Calculate the area, in square units, bounded by g(x) = 4x + 8 and f(x) = x² + 19x+62 over the…

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Q: Find the average value over the given interval. y = 4x + 4; [3, 7]

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Q: For what value of b does the limit b = exist? What is the value of the limit? b = b b b = = lim x→→2…

A: Limx--2(6x3+5x2-12x+b)/(x2+x-2) Find the value of b and the limit.

Q: lim e(25) X-2-

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Q: a 2 Vax S S xe dy dix

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 1. R is the…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation ㅠ dy Find…

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Q: Considering the definition of f(x) below, describe f(x) at x = 2. x²+x-1 -2x² + 2x -1 2x + 1 Select…

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Q: Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

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Q: If f(x) = x¹ +3, g(x) = x − 9, h(x) = √x, then fogoh(x)=

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Q: 4x³-13x²+3x+2 x²-4x+3 dx

A: I=

Q: 3. Find the equation of the line or plane a) Plane parallel to the lines r= (1,2, -3) + t (-1,0, 4)…

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Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

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Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

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Q: For what values of x does ƒ(x) = x - sinä have a slope of 1 on the interval [0, π] ? O O K|+ T 4 π…

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Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: Find the sum of the infinite geometric sequence. n 4 i=1 5n-1 Σ If the answer is not an integer,…

A: To find the sum of the following infinite geometric sequence.

Q: The weekly demand function for video game consoles is given by p=d(x) = 650 - 4x² where x is the…

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Q: 35. (²00 + 30 dv 37. f(x) dx where f(x) = 18 · 5² √ √ ²2² ²² dz 36. sin x cos x if 0<x< π/2 if n/2…

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

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Q: V9-4x2 x2 dx

A: Here we have to evaluate the integral,.

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

A: To compute the surface area of the solid of revolution formed by rotating the bounded region formed…

Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

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Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Revenue function , Cost function

Q: What is the rectangular equivalence to the parametric equations? x(θ)=4cosθ+2,y(θ)=2sinθ−5, where…

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Q: Find the derivative of y = ○ COS X 4 sin x - 4x cos x sin² x 4 sin x + 4x cos x sin² x 2 ○ 4x cos x…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t) i + sin(t) j +…

A: We have to find the tangential and normal components of the acceleration…

Q: A cable that weighs 4 lb/ft is used to lift 800 lb of coal up a mine shaft 550 ft deep. Find the…

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Q: Question 3 Find all possible triangles where A = 40°, the length of the side opposite A is a = 18,…

A: To find all possible triangles where , the length of the side opposite  is , and the length of the…

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: 3 aj X dx 2 12 = 4x²y

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Q: Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 7xz at (1,1,1), (1,0,0), and…

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Q: Prove the formula for d dx d [arccos x] in the same manner used for [arcsin x] in class. dx

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Q: d) Not every function has an absolute maximum_ e) Local extrema cannot occur at the end point of a…

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Q: 15 years ago, a company started depositing money into an investment account earning interest at an…

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Q: Select all of the following that need to be analyzed (or looked at) when deciding if a function, f…

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Q: Evaluate the following indefinite integral. 1-3 Do not include the constant "+C" in your answer.…

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Q: Solve the problem. A particle is released during an experiment. Its speed t minutes after release is…

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Q: Evaluate. Assume u > 0 when In u appears. 7 e3x e3x + 1 hrs dx

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Q: Find the integral. 2 sinx X dx

A: We are required to find:

Q: An airplane is flying on a bearing of 170° at 495 mph. Find the component form of the velocity of…

A: Component form of the velocity of the airplane:The component form of the velocity of the airplane…

Q: You will integrate the following rational function: s 4x2-14x-3 (x-9) (x2–2x+2) To do this, start by…

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Q: Which of the following gives the volume of the solid of revolution obtained by rotating the region…

A: Note:- According to the company policy we can attempt only one question so please upload the next…

Q: Consider the curve given by x³ + y³ = xy² + 1. Find the slope of the tangent line to the curve at…

A: given

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero…

A: To find the smallest integer  such that the Intermediate Value Theorem guarantees that   has a zero…

Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)…

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Q: a. f(x) = x²-x-2 x+1

A: Given function is,"As per the rules, we are supposed to answer the first question, and the rest…

Q: Calculate the area between the curves y=√x, y=2√x and y=x line.

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