Find a function of the form y A sin(kr) + C or y = A cos(ka) + C whose graph matches the function shown below: -18 -16 15 -14 -2 10 Leave your answer in exact form; if necessary, type pi for T.

Q: if a person takes a prescribed dose of 5 mg of Valium, the amount of Valium in a persons bloodstream…

A: Here, the given function is: A(t)=5e-0.0144t is the amount of Valium in a persons bloodstream at…

Q: 5. Evaluate the indefinite integral, ſ' coth- dx. - 6.

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Q: 10) y = A+ Cekt is a solution to the differential equation = k(y - A). a) True b) False

A: Solve the differential equation by separable differential mathod

Q: dy Use implicit differentiation to determine given the equation xy + e = sin(y). dx dy dx ||

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Q: Consider the function f(x) = 2x + 18x? – 42x + 9, - 7< x < 2. This function has an absolute minimum…

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Q: An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, –2, 1, 5}…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: 7 In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand…

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Q: Determine whether the lines are parallel or identical. X = 6 – 3t, y = -4 + 4t, z = 6 + 8t X = 6t, y…

A: A detailed solution is given below.

Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

A: Explanation of the answer is as follows

Q: DSk = 4x +C = 4x

A: here ?∫ dx = 4x + c now we can differentiate both side so we get the function f(x) = 4 so here…

Q: 00 The series is convergent. n2 + cos? n n=1 This statement is true by the alternating series test.…

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Q: Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of…

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-y)^10 ax^2y^8

A: Binomial expansion:(a+b)n =nk ak bn-kfor: (3x-y)10: a=3x, b=-ya x2y8:Third term:k=2:(102) (3x)2…

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Given the following parametric equations, convert to rectangular equations: x = t + 5 and y = t² –…

A: Topic = Algebra

Q: (-1,3) -2,1) (0,1)

A: Topic = Functions

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: 5-(1+x')(dy-dx)= 2.xydx;

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Q: Determine whether the following functions are continuouuus or not. Are not, classify them as…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

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Q: Given f(z) = 1-홍(10 + 7z) + 응(10 + 7a)2 - (10+7 then f'(x) =, %3|

A: Find your answer below

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: 24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1.…

A: Note:- Sorry for inconvenience as per our guidelines we should solve only 1 question so please post…

Q: f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) =∞ lim f(x) =-∞ X--5+ lim f(x) = ∞ lim f(x)…

A: Concave up:(-∞, -5) : f''(x)&gt;0function is decreasing in (-∞, -9)f'(-9)=0and function is…

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Given query is to find a cost fo production of 620 cards.

Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: Which of the following is the inverse of the functionf : [0, ∞) → [3, 0), f(x) = 2.x² + 3? Select…

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Q: Solve the right triangle. Round your answers to the nearest tenth. A = b-0 56° 22

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Q: Solve using an appropriate method on First Order Differential Equation. Show complete and detailed…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (4,…

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Q: 3. The following curves bounds a certain area: y = 4x – x2 y = 4 and x = -2 Determine that area.

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Q: Find the (natural) domain of the function x + 1 2х — 1 f (x) = Select one: a. (-0, –1] U (1/2, ∞) b.…

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Q: Y1 = x² + 2x + 1 Y2 = 2x + 26 dx y2 35 30- 25 20- y 15 10

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Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

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Q: Eliminate the parameter on t to write the parametric function as a Cartesian equation in y = form.…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given

Q: (kx-1 ifx< 2 G(x) kx? if x 2 2

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33)…

A: Given problem:- (a) Find an equation of the tangent plane to the surface at the given point.     z =…

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

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Q: please answer 9 and 10 only Find the general solution of each differential equation, and when…

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Q: d²y #3. Find if x' + y' = 9 dx? |(-1,2)

A: x2 + y3  =9 now differentiate it  2x + 3y2(dy/dx) = 0 dy/dx = -2x/3y2 now agian differentiate with x…

Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: Q1) Find 2/3 dx a) Jas x*/9x² – 1 V2/3

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 5 dz Evaluate the integral: J1" (2+3z)³ (2+3x)³ O 22 O None of these 30 15 Clear my choice

A: Given query is to find the value of the integral.

Q: panding such that its length is always 4 times its width. If the ng at a rate of 0.5 cm/min, is its…

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