Find an equation of the tangent line to the graph of y = B(x) at x = 6 if B(6) = 0 and B'(6) = -1/2

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A: Consider a cylindrical pipe with diameter 14 inch and 15 feet of long. To calculate its volume.

Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A: Given that y=fx+5x24 along with it when x=-1, there will be f-1=-4, dydx=3 We have to find the value…

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Q: The daily cost per unit of producing a product by the Ace Company is 35+ 0.2x dollars and the price…

A: To find out the revenue function, cost function, profit function, marginal profit.

Q: 3) A university has 10 lecture halls. Each lecture hall has 15 rows of desks supo de With 5 desks in…

A: totak lecture halls=15

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Q: My Solutions > After learning that the slope of the tangent line is the derivative of the function…

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Q: 5 7 s(%)+{db)+ 6- 63-р +)+6=65 = p P 5

A: Given a differential equation.

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Q: Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except…

A: Solution is here

Q: Find the area of the sector of a circle with radius 17 miles formed by a central angle of 55°: what…

A: To find the area in square miles of the sector of a circle with radius 17 miles formed by a central…

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Q: (0) +27= 10; 7(0) = 0,

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Q: 5. y = sec(In x) 7. y = tan (ln(5x))

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Q: 1. Graph the following function on the board: f(x)= 0 -∞<x<-1 1+x -1<x<0 1-x 0 0≤x<+1 +1<x<+∞o

A: Please see the below picture for detailed solution.

Q: Solve each equation by extracting the square roots. 1.x² = -31 2. (x6)² - 7 = 0

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Q: Construct the truth tables for the given compound statements. 1. ~p ^ ~q р T T F F q T F T F ~P ~q…

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Q: Consider the rectangular box to the right, and suppose that it has no top (a)Write an expression for…

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Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Find the following limits: 1 1 5+x 5 x a. lim: x-0 b. x²+1 lim x-1- |x-1| C. -2x lim x +∞ √9x²-3

A: See this solution in below.

Q: e values ( Vinx dx using the I x Rom brook method where n=2 Equal (A) 0 - 64ाण Bo O 65806 06637…

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Q: 1 23. Σ (Inn)" 0=1

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Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: 18.) Find the derivative.

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Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: 4. X x - 2 > x; in the form of intervals

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

Q: A quadratic function f is given. f(x) = 8x² - 16x + 1 (a) Express fin standard form. f(x) =

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Q: Consider the cylinder on the right (a) Write an equation expressing the fact that the volume is 221…

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Q: find the gradient of z = x² + y² - 3x4 at point (2, 1)

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Q: 6.) Find the limit (if it exists). 6x² + 3x + 10x²+x+ lim x+²)

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Q: values ( Vinx dx using the S 1 x method where Rom brook Equal A) 0-64lot Bo 65806 00-6637 O 6112 4=…

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Q: Use the tabular method and the properties of limit to find the limit lim x→1 2x + 2-x 3

A: Since we have to find limit at x=1 by tabular method then we start the table from 2 to 1 and from 0…

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

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Q: . Determine the W3 fourth root of 16+16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR…

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Q: Find the general solution of each of the following. J.. 1 1. in 2. y tan² x dx + In¹y dy = 0 000² v…

A: Please see the below picture for detailed solution.

Q: (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx,…

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Q: 16.) Find the derivative using the product rule. f(x) (2x + 5)(3x² - 4x + 1)

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Q: 哥 3 1. L-1

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Q: se the graph of y = f(x) below to graph the function = f(x + 1)-3 -5- Y

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Q: Find the position vector R(t) and velocity V(t) given the acceleration A(t) = 25esti + 5 cos(t)j +…

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Q: 1. Pirkko wants to invest 9 000 euros so that after 8 years she will have 14 000 euros. What is the…

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Q: Find y' for y= [1 + *(¹ + ³) ³. 3 3 X y' =

A: We need to find second derivative.