Find the area bounded by the given curves. y = x² - 13 and y = 2 - 14x² square units Find the area bounded by the given curves. y = 3x² and y = 48 square units

Q: The demand and supply functions for Penn State women's volleyball jerseys are: P = d(x)=x²-3x + 132…

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Q: Find the limit: lim x → 169 X X 13 169 Give your answer to at least three decimal places:

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Q: Limaçons: 8) Graph by making a table of values: a. r= 4+2 cos e 90° 0 r 150° 180° 210° 120° 240°…

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Q: Rate oil is pumped out (millions of barrels/month) -Select- Select- 40 35 30 Use the graph of r(t)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: Find dy dx dy dx || x = t², y = 9 - 6t X

A: given, x=t2 and y=9-6twe know, dydx=dydtdxdt

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A: xy=7

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A: To find the area of given function.

Q: If f(x) = 6 + 6x − 4x², find ƒ'(-3). - -48 X

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Q: 3. The voltage of the power supply in an AC-DC coupled circuit is given by the function V(t)=150…

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Q: 11. Find the solution of the equation [2√3 tan(r)+2][cos(z)-5] = 0 in the interval [, 2). E 3 iii)…

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Q: Evaluate the integral by changing the order of integration in an appropriate way. 80 8 y/10 e-(x²+z)…

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Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t – 5/2 in…

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Q: 3. f(x,y) = y²e²x – In(2x+5y) fx fxy fy fyx Show fxy = fyx

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Q: Find the limit a) lim sex-s. X-→0 s+sex b) lim X-T 2X X-7

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Q: 1. Use the definition of fy = limo f(x,y+h)-f(x, y) h to find fy for f(x,y) = 2y²x³ + y

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Q: For the function f, given below, find the antiderivative F that satisfie f(x)=x²-2x ³-4 The…

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Q: Use implicit differentiation to find exy = 6y dy dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) I X-6 (x + 3)² + 36 dx 1/2…

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Q: 5. f(x,y) = (x²y+ 3x) 5 A. fy B. fyy (1,-1)

A: To find out the partial derivatives.

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Q: lim xln(x+2) x →0+

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Q: Find the derivate of the furchon: 2 a) y = cosh (4x²+ 9) y₁ = c) y = sinh (x) cosh (sx) y = b) y =…

A: We have to find the derivative of the hyperbolic functions

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

A: dP/dx = -20x+250 P(5)=$670 We have to find profit function P(x)

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A: step 1: Write f(x) as y . step 2: swap 'x' and 'y' . step 3: solve for 'y' .

Q: 12. (From 7.3) Find any relative extrema or saddlepoints for f(x,y) = 12xy-x³-6y² Note D= fxx fyy -…

A: For the given note , we will find relative extreme or saddle points .

Q: Find the first three non-zero terms of the Maclaurin Series expansion for the function, f(=)…

A: For ln(1 - 6x), we have: f(x) = ln(1 - 6x) f'(x) = -6/(1 - 6x) f''(x) = 36/(1 - 6x)^2 f'''(x) =…

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Q: f(g(x)) = 6(x5 + 5)6 and g(x) = x5 + 5, find f(x). f(x) = help (formulas)

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Q: The rate of depreciation (in dollars per year) for a certain truck is given by the function below,…

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Q: 1. Evaluate the integral using substitution. TC/3 π/6 cos*x sin x dx

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Q: Question 11 2x cm 3x cm b) Show that the volume of the cuboid, V, is given by h cm NOT TO SCALE…

A: Figure 2 shows a cuboid of length 3x cm, width 2x cm and height h cm. The sum of the lengths of all…

Q: Find the work done by F over the curve in the direction of increasing t. F = 3xyi+yj-4yzk r(t) =…

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Q: Calculate double integral in cartesian coordinates with steps. Double integral attached as image.…

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Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b n=1 (-1)…

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Q: Given f(x, y) = 80x + 90y - 4x² - 5y² - xy Evaluate f(5, 1) f(5, 1) =

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Q: Find the parametric equation of the tangent line to the helix with parametric equations below at the…

A: x=2t, y = e^(-t)  z=3t-2t² Point (0, 1,0 )

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A: The volume of a cuboid with length l, width w and height h is given by V=l×w×h

Q: lim sin x-0 sin(. If sin ¹(cot ¹(cos(x))) COS -¹(tan-¹(sin(x))) then find the value of a a) = π/4

A: Given expression limx→0sin( sin-1( cot-1( cos( x ) ) ) cos-1( tan-1( sinx ) ) )α ) = π4As we know…