Let f(x) = 5 ln(7x) f'(x) = f'(5) = =

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Given limx→∞ x + 5x26x - 1

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Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

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Q: Let f(x) = ln(x³) f'(x) = ƒ' (e³) =

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Q: Question 2 > Consider the point P(2,-1,-4) and the vectors a = and b =. (a) Find the unit vector u…

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Q: Find the linearization L(x) of y = 5x ln(x) at a = 1. L(x) =

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Q: D3 + 2D2 -5D - 6 ) y= 0

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Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

A: The given differential equation is: D4-6D3+13D2-12D+4y=0   The auxiliary equation is:…

Q: Find all points (x,y) on the graph of f(x) = 3x² -5x with tangent lines parallel to the line y = 13x…

A: We have to find all points x, y on the graph of fx=3x2-5x with tangent lines parallel to the line…

Q: For the function f(x) given below, evaluate lim f(x) and_lim_ƒ(x). X→∞ X118 Provide your answer…

A: The given function f(x)=-(x+1)(x2+1)(3x2-2) We have to find the limx→∞f(x) ,limx→-∞f(x)

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: its missing step 2 or would it be 1/14sqrt7X + 1/sqrt(7)

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Q: Find the limit. (Let c and d represent arbitrary real numbers. If the limit is infinite, enter '∞'…

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

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Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: An airplane has an air speed of 227 miles per hour and a compass heading of 140°. A steady wind of…

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Q: For the function f(x) given below, evaluate lim ƒ(x) and lim_ f(x). X→∞0 X-8 Sorry, that's…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Sketch a graph of a function f that satisfies all of the given conditions. lim f(x) = -00, lim f(x)…

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Q: Supposef is continuous on [2, 6] and differentiable on (2, 6). Ifƒ(2) = −9 and f'(x) ≤ 6 for all x €…

A: Mean value theorem

Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: The graph of y = f(x) represents the amount of water in thousands of gallons remaining in a swimming…

A: To determine the initial and final amounts of water in pool.

Q: Given cosa-tanßand a and are not in Quadrant II. Evaluate the following: 13) cos(-a) 14) sin(a +180)…

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Q: Your grandparents opened a savings account for you when you were 5 years old. They deposited…

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Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. M 3 1 At what x values does A(x) have a local…

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Q: Consider the double integral L = 1+2²³ + y² dy dz. (a) Sketch the region of integration for the…

A: Let's sketch the graph and evaluate double integral.

Q: Suppose F(x, y) = xyi + (x − y)j and C is the triangle from (4,0) to (-4,0) to (0,4) to (4,0). (a)…

A: To find the line integral.

Q: A car rental agency rents 220 cars per day at a rate of 29 dollars per day. For each 1 dollar…

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Q: 1986, the Chernobyl nuclear power plant meltdown released Cesium-137 into the urrounding area,…

A: Given query is to find the time taken to reach the amount to .25 kg.

Q: 2) The concentration of a drug in a patient's bloodstream measured in mg/L, t minutes after the…

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Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: Equation of tangent to a curve y=f(x) at a point (a,b) is y-b=f'(a)(x-a)And equation of normal to…

Q: Find the following integral: tan x 1+x²+x4 dx

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Q: Question 5 Your job is to determine a location for a Y-junction that minimizes the total distance to…

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Q: 2 Identify the definite integral that represents the arc length of the curve y = 1/x over the…

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Q: If the rational function y = r(x) has the horizontal asymptote y = 7, then y → decreases Xas x→ too.

A: given,y=7 is horizontal asymptote

Q: 3. (a) Use Tables, or otherwise, to evaluate Simplify your answer. (b) Use a u-substitution to…

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Find the shortest distance from the origin to the graph of the circle with equation given below.…

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Q: If f(x) = then f'(x) = f'(3) = t³ dt

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Q: as ---Select--- as ---Select--- as ---Select--- at (t, y) = at (t, y) = at (t, y) =

A: Topic:- application of derivatives

Q: Find the derivative of the function y=x^2e^-3x

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Q: 110°

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Q: plane is flying at a constant altitude of 1 mile and a speed of 250 mph toward an observer on the…

A: let vertical distance = y horizontal distance = x hypotaneous distance = s according to pythagorous…

Q: Please

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Q: Compute and completely simplify the difference quotient for f(x)=√x+7. f(x+h)-f(x) h X

A: Given query is to find difference and quotient.

Q: Find the length s of the circular arc.

A: We will find the required  length of arc.

Q: Verify the formula by differentiation. 10 S TOX -dx = In | 10x - 11| + C, x‡· 10x - 11 11 10 The can…

A: d dX(lnx=1xd dx(constant)=0 given   ∫1010x-11dx=ln10x-11+c

Q: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

A: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

Q: a) Find lim √2x+3-√3x+2 x²-6x+7 b) Let f(x) = 1 2²-1 x-1' √x-1 0<x< 1 1<x<3 2-1 ' 5+3, 3< x Find…

A: Solve the limit