Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

Q: Find the exact directional derivative of the function √y z at the point (1,9, 9) in the direction…

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Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: ∑n=1∞(n+6−n+5)

Q: 3 days ago Given the quadratic function of y = 5u2-3bu+b If the function is said to possess repeated…

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Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: Use the quotient rule to find the derivative. x² + 8x +3 y= √x OA. dy 2x+8 dx X B. O C. dy dx dy dx…

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Q: For the function x f(x) = x-5 find the derivative of the inverse function f-¹ at the point x = 2.…

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Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Horizontal tangent lines to a curve occur at local extrema of the curve, that is at the peaks or…

Q: Find a function y(x) such that 10yy and y(10) = 8. Y x

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Q: If then the domain D of the function f is given by the set Select one: ○ {(x,y)|y² > x, ○ {(x,y) y²…

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Q: If f(x) is continuous and ſ² f(x)dx = 225.1, what is b [. Round your answer to two decimal places.…

A: If  is continous and , to find .

Q: Use the special product formulas to perform the indicated operation. (y + 8)²

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Q: 8 3 dx √√x-3

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Q: 1. Compute the area of the surface obtained by rotating the curve y = √1+ 2x, about the x-axis.…

A: The given curve equation is  ,

Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

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Q: Find the differential dy. y = ex/5 1_5x dy || Evaluate dy for x = 0 and dx = 0.01 dy = 0.002

A: Consider the function

Q: Question 3.35) An expert in the housing market tells you that the price of midsize houses in a…

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Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. 0 X y

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Q: The function f(x) = -3√x - 15 +14 x > 15 has an inverse f-¹(x) defined on the domain x < 14. Find…

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Q: e best system on which to base the future of the world." arket Reliance vs. Government Reliance?…

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Q: Given the function f(x) = x²e³x, Use the derivatives to determine the open interval(s) where the…

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x)…

A: we are given the table of functions and their derivative at certain values, we need to find out the…

Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: 5. A = [ 2 3 -1 21]. B. = -4 2 13

A: A is matrix and B is also matrix

Q: Find the present value of $2000 payable at the end of 3 years, if money may be invested at 4% with…

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Q: Find an upper bound error in estimating 3 [cos (3x) dx using the trapezoidal and Simpson's rule with…

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Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) N ? 7 6 a

A: The given graph

Q: The demand function for a certain product is given by D(p) = O A. D'(p) = 2,790 +48p (12p+15)² -…

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Q: Find the derivative of the function g(x) g'(x) = = ex 4 - 3x

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Q: Consider the curve defined parametrically by x(t) = cos(2t) and y(t) = 2 sint for values of t such…

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Q: Question 3.33) A certain sports car is being tested for its performance. Putting the engine at…

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Q: Consider the parallelogram induced by the vectors +1-[1] and di-[222] where x is an unknown real…

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Q: For the following​ function, ​a) give the coordinates of any critical points and classify each point…

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Q: Classify the equation as a contradiction, a conditional equation, or an identity. 3[x2(x 3)] 3 = -3x…

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x² +…

A: By using the implicit differentiation to find an equation of the tangent line to theellipse defined…

Q: 1. Consider the second-order homogeneous linear differential equation, y"+p(x)y'+q(x)y=0 (a) Let y,…

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Q: 75. g(t) = 3t5 - 30t4 + 80t³ + 100

A: we need to find the concavity of the function. given function

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Find the differential dy. y = ex/5 dy: || Evaluate dy for x = 0 and dx = 0.01 dy =

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Q: lim 2² = ?? 270 25 DONT USE L'HÔPITAL USE MATHMATICAL PROOF MATH ANALYSIS

A: To find

Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

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Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

A: Here we will find limit of the given functions, we will find it on putting the x= infinity and -…

Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

A: The given function is

Q: Determine x = f(t) for dx (₁²+2t) = 2x + 2, t> 0; f(1) = 4. dt

A: To determine  for .

Q: -7-6-5-4-3-2-1 1 2 3 4 5 6 7 Draw the graph of y = f(2x+4) -3 by adjusting the vertex and width with…

A: given graph of function f(x)

Q: Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the…

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Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

Q: Use the special product formulas to perform the indicated operation. (x-4)(x + 4) Need Help? Watch…

A: Given (x-4)(x+4)