Find the slope of the line tangent to the graph of the function at the given value of x. == -√x; x = 4 O A. 11 16 OB. 11 16 ...

Q: The median home value in Ohio and Wyoming (adjusted for inflation) are shown below. Ohio Wyoming…

A: The median home value in Ohio and Wyoming YearOhioWyoming 19505030041300200010370096600Let x be the…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

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Q: (Multiple Choice Question) If sec a = -3 = tan ß and a, ß € [T, 2π], then sin(a + 3) is equal to:…

A: Given that and

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A: To solve the following absolute value equation for .

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Q: ㅐㅍ 3 1/2 S (2+4C05(0)) ² do 2 싫어

A: To evaluate the following integral.

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A: Elasticity,E(p) = Where D(p) is the demand function.

Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G′(2) = 5, G(3) = 6, G′(3) = 2, find…

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Q: The function f(x) = 8x + 4x¹ has one local minimum and one local maximum. Algebraically use the…

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Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: 2. For what values of n does this integral converge or diverge? Show all evidentiary work for each…

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Q: (a) Suppose that a spherical snowball melts so that its surface area decreases at a constant rate of…

A: Question no. (a):Suppose that a spherical snowball melts so that its surface area decreases at a…

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

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

A: Sum =∑n=1∞(9n−9n+1)

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Q: Compute the differential dz of the function. = x ¹⁰y5

A: To compute the differential  of the following function.

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 the derivative of the function. e Su -5u e y = e 5u <-5u + e

A: Quotient rule:

Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: For the functions f(x) NOTE: Enter the exact answers (a) f(g(1)) = (b) g(f(1)) = (c) f(g(x)) = (d)…

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Q: Write an equation for a line parallel to y - y = 2x 3 and passing through the point (2,0)

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Q: Find the volume of the given solid. Enclosed by the paraboloid Z = 5x2 + 4y2 and the planes x = 0, y…

A: The region enclosed by planes

Q: Find the value by writing the argument using the number 5 and using the value log 5 = 0.6930. log 25…

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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: Solve the following homogeneous diffe y"-4y'+4y= 0 »._4y"+л²y = 0, y(0) = 2, y'(0) = 0 x²y" - 2xy' +…

A: Given differential equationwhich is clearly a Euler Cauchy DE

Q: Inx 2. Let f be the function given by f(x) = for all x > 0. The derivative offis given by 1- ln x…

A: The given function is; f(x)=lnx/x

Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: If lim f(x)=7, which of the following must be true? x→3 f is continuous at x = 3. f is…

A: From the given limit it is clear that the limit exist.Limit exists when left-hand side limit is…

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

A: The given equation is

Q: / 2 - 100% + A A particle moves according to the equation of motion s = t5 - 10t³ + 18t, where s…

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Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

Q: alculate the derivative of the following function. y = (p+e)5 sin p³ 3 ***

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 5 +…

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Q: Differentiate. f(x) = In f'(x) = : 100

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Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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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: 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: -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: Find the length of the parabolic segment r= 14 1 + cos 0 The length is (Type an exact answer, using…

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Q: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

A: To prove

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Q: Solve the following In(x) Ⓒdx ((*√x) In (²))

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: The arc length function for a curvey = f(x), where f is an increasing function, is s(x) = √√5t+10…

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Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: Find dy dx xy + y² = 5 dy-0

A: