(2H)

Q: Let f have the graph shown. 1. The average rate of change of f over the interval [2, 4] is: (A) grea...

A: The average rate of change of the function is given by: a) The average rate of change =f(4)-f(2)4-2=...

Q: Complete the truth table for the following compound statement. (~p∧q)∨(p∧~q)   p q ~p ~q (~p∧q) (...

A: We have to make truth table for ~p∧q∨p∧~q The required table will be: p q ~p ~q ~p∧q p∧~q ~p∧q∨p∧...

Q: please answer the question using interval notations! thank u in advance!

A: When x≤0 fx=x2-5 Left-Hand Limit  = limx→0x2-5=-5

Q: Find the exact v alues (A) sins tsin STT 4

A: Since you have asked  multiple questions in single request  so we  will be answering only first ques...

Q: 22. Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x² + at the po...

A: The equation is given by, tan-1x+y=x2+π4x+y=tanx2+π4y=tanx2+π4-x The slope of the tangent to the giv...

Q: The function f(x) = 3x + 4x-1 has one local minimum and one local maximum. This function has a local...

A: Given: fx=3x+4x-1, To find: Point of local minimum and point of local maximum and local minimum and ...

Q: Use a graphing utility to graph the function. f(x) = |x − 3|   Find the x-values at which f is diff...

A: fx=x-3 Now the graph is,

Q: Use half angle or power reduction formulas to fill in the blanks in the identity below: 1 cos( 1 (si...

A: Using the half-angle formula we get: (sin(4x))4 =(sin2(4x))2 =1-cos(8x)22=12-cos(8x)22=14-212cos(8x)...

Q: OPTIMIZATION The City Council proposed to utilize a government-owned land with an area of 12,150squa...

A: The City Council proposed to utilize a government-owned land with an area of 12,150square meters. Gi...

Q: Find the area of the region bounded by the given curves. y = 6x2 In(x), y = 24 In(x) %3D

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Q: On a certain route, an airline carries 6000 passengers per month, each paying $200. A market survey ...

A: On a certain route, an airline carries 6000 passengers per month, each paying $200. A market survey ...

Q: I am having trouble with my practice probs. In the proof of the derivative of sine and cosine, we us...

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Q: Find dy dx

A: The given equation is y3+y2-5y-x2=-4. Differentiate both sides with respect to x as follows.    

Q: Find all values of x and y such that f = 0 and X, y) = 0 simultaneously. .3 f(x,y) = 2x° = 14xy + y ...

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Q: draw 405 degrees in standard position

A: Given 405ο

Q: Find all real zeros of the function. f(<) = 4(x²–16) (x + 5)°(x-s) If there is more than one answer,...

A: According to the question, we have to find all the zeros of the function fx=4x2-16x+52x-5. The zeros...

Q: Find the general solution of the given equation y" + 8y' + 16y = 0

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Q: Determine the interval on which the following functions are concave up or concave down. Identify any...

A: Given function is gt=3t5-30t4+80t3+100. Inflection points is point where the concavity of function c...

Q: Find the derivative of the function. y = Vs3 +9 Enclose numerators and denominators in parentheses. ...

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Q: Evaluate the iterated integrals

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Q: Rewrite the equation y = 100(4.6)x in terms of base e.Express the answer in terms of a natural logar...

A: y = 100(4.6)x Important point: A = eln(A) ∵  Taking logarithm both the sides   ln A = ln eln(A)   ln...

Q: ;(y+ 1) e*dx = (e* + 1)y dy, what is F = 1.F. J (-e*y - y)dy? %3D

A: Given: y+1exdx=ex+1ydy

Q: find an equation of the line tangent to the curve " ". given the equation in slope-intercept form

A: Find dydx as follows. y=2x23x-1dydx=22x3x-1-3x23x-12dydx=23x2-2x3x-12 Find dydx at x=1 as follows. d...

Q: Let f (-1) = 7 and f (2) = 112. Enter the exact answers. (a) Find a possible formula forf if f is li...

A: Given f(-1)=7/4 and f(2)=112 (a) Let f be a linear function defined by f(x)=ax+b By using the given ...

Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: 5. How long will it take an account paying 6% annual interest to double if it is compounded monthly?

A: Compound interest is the summation of the interests to the principal amount which has been deposited...

Q: Find the area between x-axis and the curve defined by   y = 2·x2 − 6·x on the interval [0,4].

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Q: If csc(x) = 7, for 90° < a < 180°, then %3D sin 2 cG) = ( COS tan ) - 2 ||

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Q: Annual U.S. sales of bottled water rose through the period 1993–2003 as shown in the following chart...

A: The functionR(t) = 17t2 + 100t + 2300 The derivative function R (t) = R'(t) R'(t) = 34t +100  

Q: Suppose we know the function f(x) has derivative given by the following graph: -2 Then f(x) is decre...

A: The graph of the derivative of the function f(x) is given in the question. We have to check whether ...

Q: Use a graphing utility to graph the function f(x) = (x - 1)3.Use the graph to determine whether the ...

A: Given: fx=x-13 To determine: Whether the function is has an inverse using its graph.

Q: i) If vector u and v are parallel or the same line, then Proj-u= (a) 1 (b) -1 (c) u (d) v (e) 0

A: Consider the expression for the projection of any vector a¯ on vector b¯ is a¯cosθ. For the case whe...

Q: a)Find the year x at which the maintenance cost C(x) will equal the savings S(x). (At this time, the...

A: a) Saving Cost S(X)=1300-30x Maintenance Cost C(x) = 100x S(x)=C(x) 1300-30x=100x x=10 years  

Q: Find the gradient vector field ∇f of f(x, y) = x2 − 4y.

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Q: Write the function in the form y = f(u) and u = g(x). Then find dy as a function of x. - 12x y = e

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Q: dy as a function of x. dx Write the function in the form y = f(u) and u =g(x). Then find y=cos 6 (Ty...

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Q: suppose f(π/3)=4 and f'(π/3)=-5. Let g(x) = f(x) sin(x) and h(x) = cos(x)/f(x). Find the following g...

A: Known facts: fg'=fg'-gf'fg'=gf'-fg'g2   Given that f(π/3)=4 and f'(π/3)=-5. Obtain the derivatives a...

Q: Implicit practice assistance request

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Q: Complete the truth table for the following compound statement.(p∨q)∧(p∨~q)(p∨q)∧(p∨~q) p q ~p~p ~...

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Q: For the 2009 fiscal year, Lowe's Companies, Inc. reported an annual net income of $48,230,000. Assum...

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Q: Use a change of variables or Table toevaluate the following definite integrals.

A: ∫01/8x1-16 x2 dx

Q: Which of the following correspond to the derivative of f(x) at x=a? Select all that apply. Slope of ...

A: The derivative of f(x) at x=a has several interpretations mathematically and based on application ar...

Q: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

Q: Find the gradient vector field of f.  f(x, y, z) = 8sqrt(x^2 + y^2 + z^2).

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