simplify the difference quotient f(x+h)-f(x)/h for the function f(x) = 10/x

Q: Convert 1.6 radians to degrees: (Round your answer to the thousandths place.)

A: we convert 1.6 radians into degrees.

Q: A committee of six people is chosen from seven senators and ten representatives. How many committees…

A: Given,          Number of senators = 7          Number of representative = 10

Q: For the function h(x) = 2(6x+7), find two functions f(x) and g(x) such that h(x) = f(g(x))

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Q: The angle between 0° and 360° that is coterminal with - 1475° is

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Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: 6. Show that there are no tangents to the graph of 5+2 that have a negative slope. .

A: Given function:- y=5x+2x+2

Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

Q: Question 4: Write the equation of a quadratic function that has been shifted four units to the…

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Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

A: draw angle 174°

Q: The cost in dollars of making x items is given by the function C(x) = 10x + 400. (a) The fixed cost…

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Q: The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be лt modeled by…

A: We have to find the radius of Ferris wheel.

Q: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12

Q: Calculate r' (t), T(t), and T(3) where r' (t) = ( T(t) = ( T(3) = ( ). r(t) = (2t², 2t).

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Q: Let a, b, c and y be the three dimensional vectors à = 3j+4k, b=i+6j+2k, č=4i-8j, ÿ=−i+ Perform the…

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Q: y sinx - xy² = C

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Q: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

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Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: since you have posted multipart question i can do  first three subparts as per our company…

Q: (a) Show that the vector field F(x, y) = (x², y²) is conser- vative, then find the potential…

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Q: 24. lim xsin- is 110 (A) 0 in(s (B) ∞ (C) nonexistent (D) - 1 (E) 1

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Q: *) Write the parametric equations y = x = 4et, y = 8e-t as a function of x in Cartesian form. with x…

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Q: Seven people are arranged in a line. What is the probability that two specific people, say A and B,…

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Q: 4. What is the exponential equation of the function shown? .4 -3 -2 a) f(x) = 3* – 2 b) f(x) = - 3 -…

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Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

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Q: Solve for x. x a) x=18 b) x=81 O c) x=6561 d) x=36 = glog, 81

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Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

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Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: 2. A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and…

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Q: Rates of Change and Tangent Lines

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Q: 02 3 What is lim f(x) for the function f, defined as f(x)= x-1 Does not exist X-1 √x-1 x²+x-2 X-1 if…

A: The given function is  fx=x-1x-1if x<1x2+x-2x-1if x>1 we find the left hand limit at x=1

Q: Consider the various types of functions that can be used for mathematical models, which types of…

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Q: 3. Let w = 3-3i and z= -2+2√3i. (a) Express w and z in polar exponential form. (b) Express (wz)10 in…

A: The given complex numbers, w=3-3i and z=-2+23i To find w and z in polar exponential form.

Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (15,7). ū = (b) Find a…

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Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

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Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

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Q: Show that the surface area of a sphere with radius a equals 4ra². r(u, v)= (a sin u cos v, a sin u…

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Q: Calculate x(t) when k(t) = [t^2t]/[3sqrt(1+t^4)^3/2] r(t) = (6t¹, 1, 6t)

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Q: Evaluate log5 √625 O a) 2 O b) 5 O c) 25 O d) 4

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Q: 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We can sketch the graph of the given function after complete the table .

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x = 20, and Σ x = 84. Calculate the sample variance for samples where N = 12, X

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Q: f(x) = -2 sin (0 A A/ For the function f(x π A/ + 3, state the Amplitude: Period: Phase Shift (be…

A: The solution is given below

Q: Use Stokes's Theorem to evaluate F(x y₁ z) = x² +2 - xyzk F. dr. In this case, C is oriented…

A: The solution is given below

Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: The volume of a sphere is given by where r is the radius. Find the volume, in cubic inches, when the…

A: The given problem is solved below in detail.

Q: Suppose an object is fired vertically upward from the ground with an initial velocity of 96ft/sec.…

A: Given: The height of the object above the ground after t second is given bys(t)=96t-6t2To Find:…

Q: f(x) = -x² +9 d the x-values at which f is not continuous. Which of the discontinuities are…

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Q: 5 4 3 2 1 1 I = f(x) = 0 1 2 3 lim f(x) - 3 lim z+5+ f(x+4) = lim f(f(x) + 3) = I 3 5 6 Enter each…

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