Differentiate the following function. 3 y=xaex dy CX

Q: A particle moves according to a law of motion sf(t), t2 0, where t is measured in seconds and in…

A: As per guideline we can solve maximum three subpart you can repost remaining subpart

Q: if cost and revenue are given by C(x) = 187 +0.8x and R(x) = 8x-0.02x

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Q: 2x² -f(x) x + 3 Find k'(-2), given that Let k(x) = Provide your answer below: K'(-2) = f(-2) = -3,…

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Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

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Q: If f f (x) dx = sin²(x) + C, then find the function f(x).

A: If ∫fx dx=12sin2x+C, then to find the function fx.

Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: Given that f(x) = x² - 13x and g(x) = x + 13, find (a) (f + g)(-4)= (b) (f- g)(-4)= (c) (fg)( 1) (4)…

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Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: Given  The limit as x approaches -6 of f(x) is equal to 8

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: We can use the concepts of increasing and decreasing parts of function using the slope of the…

Q: Graph each system of inequalities. Circle the ordered pairs - there is no solution circle no…

A: Note:- These are multiple questions according to company rule we can do maximum 1 so i am solving…

Q: a. [ 3x (x² - 5)³ dx 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: #2) Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: #9) Find an equation of the tangent line to the graph of the function at the given point. y = 3(cosh…

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Q: It is known that f(-5) = 15, f'(-5) = 10, 15, f''(-5): JAN f(³) (-5) = 5, and f(4) (-5) = -2. Find…

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Q: A study of American girls ages 4-13 in the 90th percentile found that their height h (in cm) as a…

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Q: 9. The function f(x, y) = x² + 18xy -12x-3y² -12y - 4 has one critical point. Determine its location…

A: Note :- Since you asked multiple questions ,As per our policy we can solve question 9 for you please…

Q: Calculate the cross product. (3j - 4k) x (8j + k) = ai + bj + ck (Give your answer using standard…

A: To find the cross product of given vectors.

Q: Determine the point(s) where f(x)=has horizontal tangent line(s).

A: For a function to have a horizontal tangent line means the slope of the function is 0.

Q: 1. Find the general solution of y"" — 2y" — y' + 2y = 0

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Q: For the equation given below, evaluate dy |. dx at the point (1, -2). 25 y x + 8y = x² − 4 -

A: dydx1,-325=-71625

Q: Find the volume of the solid formed by rotating the region enclosed by ey-axis. x = 0, x = 1, y = 0,…

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Q: 1. Use the graph of f in the given figure to do the following: (a). Find the value(s) of r in the…

A: As per the rules we can answer the first question and rest can be reposted.

Q: Find the first five non-zero terms of the Taylor series for f(x): + n=0 + Written compactly, this…

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Q: Two runners are in a 16-mile race. Runner A runs at a constant speed of 8 miles per hour, while…

A: Topic- Mean value theorem We are given, distance of a race= 16 mile speed of runner A=8 miles per…

Q: Guess the value of the following limit (if it exists) by evaluating the function at the given…

A: We have to evaluate the limit.

Q: Let y = = Ay ~ 2x² + 4x + 3. If Ax = 0.3 at x = 5, use linear approximation to estimate Ay

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Q: The curve ƒ(x) = x¹ − 25x² + 8 has a horizontal tangent at which of the following points

A: To get  point at which the tangent line is horizontal, we put  slope of the function is 0 because a…

Q: O SYSTEMS OF EQUATIONS AND MATRICES Graphing a system of two linear inequalities: Advanced Graph the…

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Q: Given the function below f(x)=√√-72x³ + 288 Find the equation of the tangent line to the graph of…

A: Given function:- fx=-72x3+2883

Q: how do we set the partial fraction decomposition?

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Q: Determine the Domain and Range for the graph below. Write your answers in Interval Notation. -5 -4…

A: The graph of the function is To determine: The domain and the range for the graph.

Q: Find d dx (2x3/2 - 5x¹/4+4).

A: Solve the given

Q: 11. Refer to the figure and find the volume generated by rotating the given region abou specified…

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Q: Use delta(y)=f'(x)delta x to find a decimal approximation of the radical expression. \sqrt[3]{64.17}

A: Use delta(y)=f'(x) delta x to find a decimal approximation of the radical expression.64.173

Q: Find the first and second derivatives of the following function: h (x) h'(x) h" (x) = - 330 = tan-1

A: Given h(x)=tan-1(x2)We need to findh'(x) and h''(x)

Q: dy Find for the function y = 11*.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the function f(x) = 3 (cos - Ampliude: A = Number Enter the exact answers. For the number…

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Q: Find the general solution and particular solution of y''=6x, y'(0)=2, y(0)=1

A: We will use method of separation of variables.

Q: To evaluate 26 sin(x) da we can apply integration by parts x6 times. We set u = on the first…

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: Part_a_ r1=5t, 2t-1, 2t-2 and r2=t-7, -t+6, t-9   First rewrite both the equation in different…

Q: Find all points (x,y) on the graph of y = X X-4 with tangent lines perpendicular to the line y = 4x…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Let be a curve in the xy-plane. Find d'y dx² -|(x, y)=(1, 1) = _ 6x³3 + 19y³ = 25 તે પુ da²(x,…

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Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

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Q: The widths (in meters) of a kidney-shaped swimming pool, measured at 2-meter intervals, are: 0, 4.2,…

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Q: Graph the solution to the following system of inequalities. 7 y<--x-1 7x+4y2-28 Then give the…

A: Given in equation y&lt;-74x-14y&lt;-7x-17x+4y&lt;-1                       (1)7x+4y≥-28…

Q: Consider the points A(3, −3, 3), B(4, −5, 0), C(−3,−4,0), and D(6,2,-6). (a) Find the volume of the…

A: a) volume =231  b) diatance= 231619

Q: P(t)= 20+13t-t^2, where t is time in hours and t=0 corresponds to 9 am. (A) use the four step…

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Q: When food is left out at room temperature for a long period of time, mold begins to grow on it. For…

A: When food is left out at room temperature for a long period,mold begins to grow on it.For…

Q: In 2010, the population of a country was 53 million and growing at a rate of 1.7% per year. Assuming…

A: Given query is to find the population function with time.