Find the derivative. [m(2)] d dx

Q: The amount in grams of a drug in the body t hours after taking a pill is given by A(t) = 30(0.85).…

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Q: Determine the particular solution that satisfies the differential equation and initial condition…

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Q: u = - 12i +6j-6k, v = - 4i +2j-2k

A: Introduction Let the two vectors are given as , u=ai+bj+ck , v=di+ej+fk  Then the cross of this…

Q: 9-h² 2. lim h 3 h 3

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Q: Wouldnt the first equation be y=-4x+4 instead of y=-4x+2?

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Q: compare the instantaneous rates of change of f(x)= sinx and f(x)=4sinx of the same values of x. what…

A: Given: f(x) = sinx f(x) = 4sinx Definition of instantaneous rate of change: Instantaneous rate of…

Q: Bb For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

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

Q: (3x-y + 1) dx- (9x-3y-3) dy = 0

A: Given differential equation:- (3x-y+1)dx-(9x-3y-3)dy=0

Q: For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the…

A: We have to slove above questions And find the slope of the secant line

Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

A: Given D = adult dosage ( in mg ) c = appropriate dosage a = age Given model c = 0.0417D( a + 1 )

Q: Q1. Use numerical evidence to evaluate lim (-2x + 5) based on the table given. X 0 5 .9 .99 1.01 1.1…

A: The answer is in step 2.

Q: (1+t)²-1 t b. lim. t-0 =(t+1)

A: Topic - Limits We are given b.)limt→0(1+t)2-1twe know that(a+b)2=a2+b2+2ab

Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 95…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: A detailed solution is given below.

Q: Find the surface area of revolution about the x-axis of y = 4 sin(72) over the interval 0 ≤ ≤7…

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Q: Prove the following identity by working only on the left side of the equation. (1-sinx)(1+cscb)…

A: This is question of trigonometry here equation is given we have to prove it further calculation is…

Q: Evaluate lim f(x) and lim f(x) for the following function. Use ∞o or -∞o where appropriate. Then…

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Q: Find the area of the shaded region. A = -4 200 3 y=x² (-2, 4) 4 -2 x 00 8 9 4 2 (1, 6) 3y=2x+16…

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Q: Solve the separable differential equation dy t dt t²y+y Use the following initial condition: y(0) =…

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Q: If z = 2xy = 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing - in…

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Q: Ny 10- 8- 6- 4- 2- y=h(x) 6 X 8 10

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Suppose that a colony of Jeevesium beetles grows exponentially with doubling time 8 years. How many…

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Q: A There is no correct answer from the given choic 3 2√t E سان t-l/2 √t

A: We will find the required.

Q: 3.4x +417x²

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Q: Question 10 What is the theoretical probability of rolling a 5 on an 8-sided die? 5/8 7/8 3/8 Text…

A: Given: The die is a 8 sided

Q: Let f(x) = 2x²-3x+1 2x² x-6 This function has: 1) A y intercept at the point 2) x intercepts at the…

A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: By determining f'(x) = lim h→0 f(x) = 6x² = f(x+h)-f(x) h (Simplify your answer.) find f'(4) for the…

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Q: 6) z = sin(x,y)

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Q: (a) Evaluate h(x) = tan x - x x³ for x = 1, 0.5, 0.1, 0.05, 0.01, 0.005.

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Q: 5.⁰0⁰ To determine whether the integral is divergent or convergent, do the following: 5e-da. Note…

A: a) find the value of ∫0b5e-xdx∫0b5e-xdx = ?

Q: The cost function for manufacturing electric drills is estimated to be: 4x²_ C(x) Where C(x) is in…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

A: Given that f'(x)=7x4 -(i) and f(1)=4.Our Aim is to find the value of f(x)=?

Q: Given that f(x) = x² – 15x and g(x) = x + 6, find (a) f(x) + g(x)= (b) f(x) – g(x)= (c) f(x)g(x)=…

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Q: For the following differential equation determine the most general function M(x, y) or N(x, y) so…

A: Given :yexycosy-3dx+Nx,ydy=0

Q: The volume of traffic for a collection of intersections is shown in the figure below. (A graphing…

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Q: A city has a population of 36,000 people. Over the next five years, the population grows at a rate…

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Q: The following can be derived from the above rules. log,1 = log, a = log, d' = loga log 1 b= log,…

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Q: d [cos³ (x²)-csc(x²)] dx

A: We are required to find the value of ddxcos3x2-cscx2     The following formulas of derivatives has…

Q: 4. The complementary solution of following equation y"" - 3y" + 4y' - 2y = ex + cosx, is (a) c₁e+…

A: Given differential equation y'''-3y''+4y'-2y=ex+cosx

Q: Find the value of a so that √x²-5x = 4 Vx2 lim √x² + ax - X18

A: We are required to find the value of a for which limx→∞x2+ax-x2-5x=4

Q: Find the general solution for the following differential equation. d. y’=6(y-2.5)tanh 1.5x

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Q: Observe the ripples. When the rate of the area of the circle is constant, how is it related to the…

A: We need to choose correct option.

Q: Which of the following functions satisfy the given differential equation? y" + 2y' =-y (a) ex D (b)…

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Q: Consider the position function s(t) = -4.9t+28t+17. Complete the following table with the…

A: Find velocity

Q: Suppose f and g are continuous functions such that g(6) = 5 and lim [3f(x) + f(x)g(x)] = 48. Find…

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Q: The (blue) graph of an invertible function, f(x), is given. Drag the (green) points from the top…

A: We need to find the inverse function of the function.

Q: 2 v=S₁7(e²3²³ dx sori V=

A: Given integral ∫02π( ex )2dx

Q: A line is shown. 10 69 8 7 6 5 4 3 لبا 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 123 4 -5 567 -6 -8 96 -10 1…

A: The slope of a line is given by;  m = (y2-y1)(x2-x1)

Q: Find For f(x, y) = ety + y af af əx ду compute and

A: given  f(x,y)=exy+xyfor ∂f∂x,  assume y as constant ∂xn∂x=nxn-1∂ ∂x(constsnt)=0

Q: Evaluate the indefinite integral. 4x + 2 -dz x² +1 [1

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