Question 2 Using the graphs of f (x)and g(x) from the video, find k'(6), where k (x) = k'(6)= k(6) k'(6) k'(6)= 1 1 f(g(x))

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70…

A: Given  Speed of the circular ripple that travels outward is 70 cm/s.

Q: If z is a function of x and y satisfying the equation yzArctan (2x) - r²e² = y, find the following.…

A: Let's find partial derivative by using chain rule.

Q: It is known that the solution of the linear system, of order 3, Ax=b, is given by column x =[1 1 1]…

A: Given   Solution of the linear system is Ax=b where, x=111 and b=111

Q: A corporation has a continuous compounded bank account with 2.5% annual interest. The board of…

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Q: Lim 6 (os (cos) 0-0 Sec O

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Q: Evaluate the radical expression and express the result in the form a + bi. 6 √-36 6 + -36

A: See the answer below

Q: For the part of the solution to the DE shown below, y ln x ln y dx + dy = 0 [y ln x lny dx + dy =…

A: The given part of the DE is ∫ln x dx+∫dyy lny=0 We have to find the next step of the DE

Q: Find the critical points, domain endpoints, and local extreme values for the function. y=5x√16-x² 2

A: Given, y=5x16-x2

Q: The multiflash photograph in the accompanying figure shows two balls falling from rest. The vertical…

A: Given s=490t2We need to find the time taken by balls to fall the first 160cm.

Q: 3 - 6x IV. Given the functions f(x) = 2x + 5, g(x)=x² - 6x +7, and h(x) = == -, evaluate x-4 the…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next questions…

Q: 6 6+ -36 V-36

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Q: and g(x) = x³ g(x) for all x, if gls) = 4 find 9" (5) = 4 and

A: Given, g'(x)=x3g(x)g(5)=4

Q: In the equation y = 3x + 5, if x = 3, y = ?

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

Q: 1. Morelia Corporation has two assembly plants (in LA and Atlanta) and three distribution centers…

A: To set up an LP, defining the variables and writing the objective function and all constraints for…

Q: 12. Differential equation: Initial condition: dr dt r(0) = (180t)i + (180t 100j (180t - 1612)j

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Q: Compute the first three derivatives of f(x) and then state the formula for the nth derivative of…

A: Topic = Derivative

Q: 3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² – 9x - 36

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Q: Find T4(x): the Taylor polynomial of degree 4 of the function f(x)=arctan⁡(14x) at ?=0. (You need to…

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Q: (3) Use the error estimate formula to determine how many partitioning intervals is needed to ensure…

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Q: Suppose the second derivative of f is given by f'(x) = 7(x² + 36). Determine the intervals of con…

A: Given query is to find the interval where f in concave up and down.

Q: Suppose that the position of a particle is given by s = f(t) = 4t³ + 5t + 9. (a) Find the velocity…

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Q: Solve the problem. 2) The graph of y = f(x) in the accompanying figure is made of line segments…

A: derivative of f is slope of graph   slope from ( -5 , 0 ) to ( -3 , 2 ) from  -3 , 2  , 0, -1…

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

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Q: Choose... cos y = (x sin x - cosx+c) cos y dy = -x sec x dx sec y sin y dy = -x cos x dx (x sinx-cos…

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Q: √r 9. lim r→9 (r - 9)4

A: Concept: The definition of a limit is the value at which a function approaches the output for the…

Q: If 2x² + 5x + xy = 5 and y(5) Submit Question = -14, find y' (5) by implicit differentiation. - Jump…

A: To find y'(5) ,First we find  y' by using the implicit differentiation then substitute x=5 and y=…

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1). f'(1) = X

A: Given f(x)+x2[f(x)]3 =10     (1) And f(1)=2 We find value of f'(1)

Q: 2. We know that the value of a trigonometric function can be found using the ratio of the sides of a…

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Q: (3x²y+2e²y+3)dx + (x³ +4xe²y-sech² y+2lny)dy-0

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Q: 5. Which of the following is the correct p(x) to use, given the First Order Linear Differential…

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Q: Prove the formula for 0 ≤ y ≤ π Let y = cos ¹(x). Then cos(y) = dy d dx dx (cos¯¹(x)) by by implicit…

A: solution for first question is given below ( as per answer policy only one question is allowed )

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = √4x…

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Q: Identify which of the following is a solution to the given ODE: y' = (y-1)/2x a. y= (3/2 x)+1 b. y=…

A: We are asked to solve the differential equations

Q: III. Find the equation of the tangent line to at the point (,0). ge* +cos r = sin r+sinh(2 F

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Q: T = Find the equation of the tangent line to the curve when t 6

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Q: Given `y_(n+1) = 0.4 y_n + 6, \quad y_0 = 240 `y_17`

A: Given that yn+1=0.4yn+6, y0=240 We have to find the value of y17

Q: quations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

A: We can solve the homogeneous differential equation .

Q: Differentiate y = In (cos²3x).

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Q: Solve (3x² + e²v) dx + (2xe ² − 4y) dy = 0 2y A B x² + xe²y = 2y² = C 2y D x³ + xe ³y - 2y³ = C 3 3y…

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Q: 37. F(t) = tan√1 + ²

A: Given query is to find the derivative of the function.

Q: The volume of a cylinder is changing with respect to its radius. Which of the following equations is…

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: 3. Using the triangle below, if sin 0 = x then 0 = sinx. Fill in the missing side using the…

A: Pythagoras Theorem ⇒Hypotenuse2=perpendicular2+Base2

Q: 1 x² +5 -dx 3√x

A: We need to find ∫x12+5x3dx

Q: Use f(x) = 5x - 4 and g(x) = 3x² to evaluate the expression. (a) (fof)(x) (b) (g o g)(x)

A: The given function are  f(x) = 5x-4 and g(x)= 3-x2 Find  a) (fof)(x)  b) (gog)(x)

Q: The limit below represents the derivative of some function f(x) at some number a. lim h→0 5(1 +…

A: The limit which represents the derivative of some function fx is given by limh→051+h3-5h To…

Q: Find the leftmost point on the upper half of the cardioid r = 1 + cosθ.

A: Concept: A two-dimensional plane figure with a heart-shaped curve is called a cardioid. Greek words…

Q: Find the derivative of the function by first expanding or simplifying the expression and using rules…

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Q: IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x + 7, and h(x): = the following. Show complete…

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Q: Jamal's hockey team needs to raise $233.10 for new uniforms. The players earn $66 from rafle ticket…

A: Given query is to find the amount required to pay for the uniform.