Find an equation of the tangent line to the curve at the point (1, 1). In(xex6) y = y =

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Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

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Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < πr, with starting point (,0).

A: Given equation of curve:- y=lnsinx

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Q: Consider the following equations. y = x, y=x²

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Q: Find the critical point of the function f(x, y) = −8+2x+4x² + 5y-y² This critical point is a:…

A: Given f( x, y ) = -8 + 2x + 4x2 + 5y - y2

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Q: Consider the curve 1x² - 4xy – 2y³ = 290.25. (a) Find an expression for y'. y' = = (b) P(-13.5, 3)…

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Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

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Q: Consider the function f(x) = 1−3x², -3 ≤ x ≤ 1. Use the derivatives to algebraically answer the…

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Q: Let f(x) = -12x sin(x) cos(x). f'(x) at x = ³7. 2 Evaluate ƒ'( ³ ) =

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Q: 3. Use the Root Test or the Ratio Test to determine whether the series is absolutely convergent,…

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Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

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Q: Let f(x) = x² - 5x - 6. Find the open intervals on which f is concave up (down). Then determine the…

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Q: Find two unit vectors u such that Duf(1, 1) Here, f(x, y) = x² +9y². NOTE: you must enter your FIRST…

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Q: Using the ratio test to determine the convergence or divergence of the series series. Divergent The…

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Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)²…

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Q: Determine whether Rolles theorem can be applied to the function. f(x)=(x-5)(x-6)(x-7) on the closed…

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Q: Solve differenthal equation Y" + 1964 = 0

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Q: Evaluate the integral. 2 √√Z T ||||** SS (² cos ²0+z²)r de dr dz 000 2 √Z T S SS (² cos ²0 +2²)r de…

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Q: Find the unique solution to the differential equation that satisfies the stated conditio dy In(x) dx…

A: given:differential equation dydx=lnxxy,  y1=6

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Find and simplify the derivative of f(x) = ln(cosh (ax))

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Q: Consider the function f(x,y)=e^4x−x^2−4y−y^2. Find and classify all critical points of the…

A: Given function:- fx,y=e4x−x2−4y−y2

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Q: Find all the complex roots. Write the answer in exponential form. The complex cube roots of 16+16i

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Q: sin 5 (17x) dx = [

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A: Given function f( t ) = 1a( 7t3 - 55t2 + 165 )40

Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x)) 5/x y' =

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Q: Differentiate. h'(0) = h(0) = 0² sin(0)

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Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

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Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 3), (1,8)

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Q: Find the derivative of the function. y' = y = etan(e)

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Q: Question Graph the feasible region subject to the following constraints: 6x+8y > 208 x>8 y≥8

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