If 3x² + 2xy + y² = 2, then the value of dy dx (b) 0 -2 at x = 1 is (c) 2 (d) 4 (e) not defined

Q: The function f(x) = −2x³ – 19.08x² +70.179x - 3.59 is increasing on the open interval ( ). It is…

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Q: Use the determinant to compute the area of the parallelogram induced by the following two vectors:…

A: Using determinant, we can find the area.

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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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: How do I prove, |3- x/3| 9 (1 - x/3x)=-2

A: If is a function and then we say  if for any  there is  such that .

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: a) Find formula for f(x) if f(x) = 5x-1

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Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: Find the derivative of the following function. y = csc ²0-4 dy 11 ***

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Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'.. 6. A tank with…

A: A tank capacity is  400L " data-mce-style="font-size: 113%; position: relative;"…

Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

Q: A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.…

A: Given that height of building is 20m. And initial velocity is 15m/s. We find the equation of height…

Q: p(x) = a + ax + a,x² + ... + 10x?

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Q: Differentiate. g(t) = 14t g'(t) =

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Q: Use the FOIL method to find the indicated product. (9x - 72) (3x - 7z)

A: By using the FOIL method to find the following product.

Q: For the demand function q = D(p) = 500 (p+1) ³' 3 find the following. a) The elasticity b) The…

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Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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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)…

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Q: Find the derivative for each of the following inverse trig. functions. (a) dª arctan(7x) = dr (b)…

A: We know,

Q: Find the linearization L(x) of the function at a. f(x) = cos x, a = 3π/2 L(x) =

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the arc length function for the curve y = 2x3/2 with starting point Po(16, 128) s(x) = ||

A: The given function is,The given point is,The lower limit of x is  and the upper limit is

Q: Compute the divergence and curl of the vector field F = (sin(x - y), - sin(x - y), ze²²) Is F…

A: Given that,

Q: Find the derivative of the following functions using derivative rules. A) f(x) = x5 f'(x) = B) f(x)…

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Q: If f(x) = 4√√x(x³ - 8√√x+6), Find f'(2). find f'(x).

A: If .To find .

Q: Use properties of exponential functions to solve each equations. Show all steps and give the exact…

A: The given equations (a) (b)

Q: Find the local minimum of the function f(x), which is given in the graph below. -6 -5 -4 -3 -2 -1 6…

A: To find the local minimum of the function , which is given in the graph below.

Q: An office machine is purchased for $7400. Assume that its salvage value, V, in dollars, depreciates,…

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Q: 2. (a) Find the slope of the tangent line to the curve f(x) = 2x³ - 3x at x = -1 using a definition…

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

Q: d) If k(x)=3 find the values of a and b such that k(x) is differentiable at x = 3.

A: Note:-Since Q 4 is  incomplete but part d is complete then we solve part d for you.The given…

Q: Given the demand function D(p): Find the Elasticity of Demand at a price of $29 Unitary O Inelastic…

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Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

Q: Use the special product formulas to perform the indicated operation. (Simplify your answer…

A: Given expresion is

Q: 37. If the region shown in the figure is rotated about the y-axis to form a solid, use Simpson's…

A: The Simpson's rule formula The graph

Q: Given the demand function D(p) = 200 – 3p², Find the Elasticity of Demand at a price of $7 At this…

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Q: Mr. Almos earned $672.55 in net pay for working 28 hours. He paid $99.60 in federal and state taxes,…

A: we are given the net pay of the given person and we need to find out the hourly wage of the person.

Q: Evaluate and simplify y'. y = tan (2x³ + 5x+6)

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Q: 2. A = 77₁b = 3 25 -1 3

A: Given, .If A=, than .

Q: 5. §11.5. Q31. Use a chain rule to find the value of dw dxs=1/4 if wr² - rtan 0, r = √s, 0 = πs.

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Q: (a) Find the average rate of change of the area of a circle with respect to its radius ras r changes…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

Q: 6. S x² 1+x² dx

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: Solve the absolute value equation for x. (Enter your answers as SOLUTION.) X = |2x + 41 = -6

A: The given equation is

Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A: The graphs of f and g are given. Use them to evaluate each limit, if it exists.(If an answer does…

Q: For what values of p is the integral convergent? d. All values of p less than 1 O e. 8 1,0 All…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

Q: ind  dy/dx  by implicit differentiation. x4(x + y) = y2(5x − y)

A: The given equation is

Q: Find the derivative of the following functions using the quotient rule: You do not need to simplify.…

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Q: nitial investment amount P, an annual interest rate r, and a time t are given. Find the future value…

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Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: You will find the directional derivative of z(x, y) = 5 sin (4 x y), in the direction (3,-3) at the…

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