Given the piecewise function x < 3 f(x) = 12 – x, 3< x<7 5, x > 7 use the Second Fundamental Theorem of Calculus to determine | f(x) dx.

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A: 7. rental fixed charge of skating F =$6.35   hourly charge v=$18/ houradditional fee =$1to find tota...

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A: Dear student as per our rule in one session we can only solve one question. Please post the other qu...

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A: First write the cubic function in the zeroes form than satisfy the given point.

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Q: P(t) = 9t + 3t2-13 (a) Find the number of hours before production is maximized. t D hr (b) Find the ...

A: (a)-GivenEquation  p(t)=9t+3t2-t3Now differentiate with respect to t we get thatdp(t)dt=ddt9t+3t2-t3...

Q: Roboto 14px 1.5pt : B Name 1. Lowell works weekends at an ice cream parlor. Last week, his boss gave...

A: Solution:-

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A: Logarithmic derivative

Q: 1. Find all extreme values (if any) of the following function on the given interval. Determine at wh...

A: For extreme values we check value of f(x) at boundary values of interval and on critical points whic...

Q: Question: Let f(x) = a³ + x² – 2x + 2. Find the absolute(global) maximum and absolute(global) minimu...

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Q: x2-4 1) lim x→2 x-2 sin 2x 2) lim 3) lime- 1 x 0-x

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Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)...

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Q: 1. Determine whether k(x) is continuous at r = 3, where %3D x + 3, x 2.

A: Given  k(x)=x+3,  x&lt;0x2+1, 0≤x≤22x,   x&gt;2 To check the continuity we can use the graph as well...

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A: Given : ∫x2x2-a232 dx To find : Evaluate the given integral.

Q: For the following sequence, give an explicit formula for the nth term. aj = 6 %3| An -5a,-1 for n > ...

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Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)...

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Q: Find the volume of the solid formed by rotating the region enclosed by 4x y = et* + 2, y = 0, : 0, x...

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Q: 20% of 60 = __________

A: x % of y = x.y/100

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Q: 69 49

A: We use the expansion formula to find the solution for the problem.

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Q: What is the ordered pair for Point R?

A: Solution: The objective is to determine the ordered pair for Point R

Q: A rental company charges $60 a day and 30 cents a mile for renting a truck. Michael rents a truck fo...

A: Calculation: The rental charge for one day is given as $60. Then the rent for 3 days will be,  $60×3...

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Q: 5. List the zeros of f (x) and state the multiplicity of each. f(x) = x²(x + 3)(x – 4)³(x + 6)5 Zero...

A: A "zero" of a polynomial is a value of x at which the polynomial, when evaluated, is equal to zero. ...

Q: 13 2. Delermine lengthof Segret AD arca of ABD and

A: Given: AD  is the angle bisector of angle A. Therefore: ACAB=CDDB513=CDDBCDDB=513                   ...

Q: 5x-3x 4) lim x→00 7x2+1 d 5) [In|sin x|] dx d 6) (x³e*]

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

Q: 1. Find all extreme values (if any) of the following function on the given interval. Determine at wh...

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Q: Im begging huhu

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Q: question 1 &amp; 2

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Q: Multiply and simplify the following complex numbers: (5-5i)·(- 3+5i)

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Q: Given u = (4, -2) and v = 3i + 5j. Find u + v, v - 2u, and -6u + 5v in component form.

A: ai + bj + ci + dj = (a+c)i+ ( b+d)j

Q: 1. Find all extreme values (if any) of the following function on the given interval. Determine at wh...

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Q: Solve Q3

A: To determine the shortest distance form a point to the plane.

Q: Q2-The solid presented in figure below consist of a cone of radius (r) and height (h) the dimension ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: question 2

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Q: dw If w = f(x, y, z) = In(x² + y? z?),x = cost y = sin t ,z = 4VE , then is : dt %3D %3D

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Q: Derivative

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Q: . Find the slope of the tangent line to sin(z – x) + y° cos.x = y at( А. 4 В. -1 С. О D.

A: This is the final solution of given question.

Q: Find the linearization at x = a. f(x) = 6x®, a = 1

A: Linearization L(x) of function f(x) at a is given as L(x) = f(a) + f'(a)(x-a)

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A: Given function is                                                              g(x)=1-sin2x; 0≤x≤π A...

Q: 2. Use long division to find the quotient and remainder. x4-8x3-x2+3 x2+x Quotient: Remainder:

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Q: Which of the following functions of is guaranteed by the Extreme Value Theorem to have an absolute 1...

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Q: Find the arc length of the curve y=ln (secx) from x=0 to x=(pi )/(3)

A: Use formula 

Q: find the value of 7m+9 for m=2

A: Given expression : 7m+9

Q: x , 0< x<1 -12 - x, 1< x< 2 C) graph the following function f(x)

A: Given: