Find f'(16) if f(x) = 7x² + 3x +3 √I

Q: Find the work done for a force F = 12 x2 N from x=2 to x =6 m.

A: Given query is to find the work done .

Q: Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) =…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: he concentration of a drug t hours after being injected is given by C(t)=0.5t t^2+59. Find the time…

A: Topic:- application of derivatives

Q: = y² + 2 14 e-41 y-3

A: (1/t) y' + (2/t2) y = (t4 e-4t)/y-3 Which can also be written as, (1/t) y' + (2/t2) y = (t4 e-4t) y3…

Q: Show the approximate location on the unit circle of P(t) for the given V t = P(t) = 27π 2 t = P(t) =…

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Q: A force of 5 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: Topic:- application of integration

Q: Where did you get y^2=((2a^2)/3)

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Q: Find the local and/or absolute maxima and minima for the function over the specified domain: y=x+1|…

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids y…

A: solid is enclosed by the curve y=x2+z2   , y=72-x2-z2

Q: Use the Laws of Logarithms to combine the expression. 5 log(x) - 8 log(x + 1)

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Q: If r(x) x-intercept(s) = x+4 x²-4 ,find the following: a. b. y-intercept c. Vertical asymptote(s),…

A: given function is  rx=x+4x2-4

Q: Bernoulli's equation dy dx -ye-2x = 6y8, will be reduced to a linear equation by using the…

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Q: Identify whether the statement represents an exponential function. A population of bacteria…

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Q: Consider the image below. -12-10-8-6-4 4 2 FJ -16-14-12-10-8-6 A)-2 B) 0 8+ 64 A)-2 B) 0 41 24 0 -2…

A: Given that graph of fx and gxSolution :10.limx→-3+ fx+gxlimx→-3+ fx  +lim     x→-3+ gx-2+2=0option B…

Q: Find the follow indefinit x5 dr.

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

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Q: 1) If f₁ ln x dx = 1 and ₁² lnx dx = 1+e² then fe² lnx dx = a) e² b) 2+ e² c) -e² d) −2+ e²

A: If ∫1eln x dx=1 and ∫1e2ln x dx=1+e2 then to determine the vaue of ∫ee2ln x dx.

Q: Use integration by parts to evaluate the following integral. 1 12 S 0 x In 12x dx

A: To evaluate the given integral

Q: Express the location of the point (5,- Sorry, that's incorrect. Try again? 7π 7). given in spherical…

A: The given coordinate: 5,π6,7π6.

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t​ seconds,…

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Q: Find d2y/dx2. y=1/x10

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Q: A cable runs along the wall from C to P at a cost of $5 per meter, and straight from P to M at a…

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Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft^3/min. How…

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Q: Consider the following. x = 3 sin(68), y = 3 cos(68), Oses" (a) Eliminate the parameter to find a…

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Q: RANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: TRANSCRIBE THE FOLLOWING TEXT

Q: 1: Consider the differential Question 1. equation : y cost + 2te" + (sint + t²e³ - 1)y' = 0. a) Show…

A: A differential equation of the form M(t,y)dt+N(t,y)dy=0 id said to be exact iff, ∂M/∂y= ∂N/∂t

Q: Sketch the curve of the following and please list the steps you took, including explanations for…

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Q: Question 2 Consider the point P(2,-1,-4) and the vectors a = and b= (a) Find the unit vector u that…

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Q: Which of the following is a proper substitution to solve the Bernoulli's equation Select one: O None…

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Q: Graph the function, not by plotting points, but by starting from the graphs below. h(x) = 6 - 10x y…

A: Let's draw the graph of given function.

Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

Q: box is to have a square base, no top and a volume of 108 cubic centimeters. What is the smallest…

A: We have to find the total surface area of a box , whose base is square and no top . Therefore total…

Q: Sketch the curve of the following:  y = ex/x2 *please use handwriting not typing, I understand it…

A: Given thaty=exx2To sketch :graph of curveSolution…

Q: The differential equation exy' + 5x³y = (3x - In x)y-³ is a Bernoulli's equation. Select one: True O…

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Q: Find the critical points in the domain of the function: y=4-x³-3 -3.x. If there are no critical…

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Q: raph of f'(x) is given below. Use this graph to determine the intervals where f(x) is increasing or…

A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: Use the guidelines of curve sketching to draw the graph of y = x(x − 4)³

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Q: Find equations of the tangent plane and normal line to the surface x = 2y² + 4z² 354 at the point…

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Q: dy dt + y cos(2t) = 0 ; y(0) = 1

A: Topic:- application of integration

Q: 4s + 4 Consider the function F(s) s³ - 3s² + 3s - 1 a. Find the partial fraction decomposition of…

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Q: Consider the following parametric curve. Find dy dx dy dx Find the value of when t = IT. dy dx = x =…

A: We will find the required equation of tangent.

Q: Find the equation of the tangent line to y 32²—6x+1, at x = 2.

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Q: The equation is a first order linear differential equation. Select one: True False The differential…

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Q: Differentiate. y' = || y = eP(p + p√p) X

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Q: Let F(x) 3 2: = f f(t) dt, where f is the function whose graph is shown. Ay 1 2 3 4 5 16 7 t -1-

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Q: d²r Differential equation: = -32k -32k dt drl

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Q: lim x to infinity (9x-ln(x)) using l'hospital's rule

A: Evalute the limit using lhopital rule limx→∞ 9x-lnx

Q: Find the volume of the solid whose base is the semicircle y = √9-x² where -3 ≤ x ≤ 3, and the cross…

A: Finding the volume of the solid : We have to find the area of each square to find the volume of the…

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 700t - 120t², where t…

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Q: Which one of the differential equations is exact? Select one: O None of the others. ○ (4xy² + 2xy)…

A: A Differential Equation M(x,y)dx+N(x,y)dy=0 is said to be Exact if and only if ∂M∂y=∂N∂x