Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

Q: A mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t)…

A: A mug of beer chilled to 32 degrees, left in a 68-degree room,will warm to a temperature of…

Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

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Q: Given y 2x² find 4.1 The interval(s) on which / increases or decreases. 4.2 The local maxima and…

A: We need to explain function.

Q: 1 - [5] and v₂ - [3]. = Let V₁ = [T(v₁)]B = ( be the matrix for T:R² R2 with respect to the basis B…

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Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: 6. Evaluate lim no 3n²-7n +41 2n² +42n- en

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Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

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Q: Consider the double integral f(x,y)=(x²+y2) 3/² over the region R where y is bounded between 0 and…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by curves (y =secx and y=cos…

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Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

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Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: Evaluate the integral or state that it diverges.

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

Q: The value of the definite integral is Select one: O none of the others 45 6 30 -30 [² (3x² - 2x (3x²…

A: Topic = Integration

Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Find the limit of the given equation at infinity

Q: Σ (²-2) for j=1 to 50. The summation equals

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

Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

Q: 25 5.²5 4 Incx √x dx

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Q: 38. The amount of P 20,000 was deposited in a bank earning an interest of 6.5% per annum. Determine…

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Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

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Q: • (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

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Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: Two functions fand g are defined in the figure below. (a) ∞ Domain of f (b) Range of f 7 9 Domain of…

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Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

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Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: let"s find point of intersection  1+ cos θ = 3 cos θ  3 cos θ  - cos θ  = 1  2 cos θ = 1 cos θ = 1/2…

Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

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Q: Find a vector function that represents the curves of intersection of the two surfaces. 1.- The…

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Q: the Tonowing Tun f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x) = C₁f₁(x) + C₂f₂(x) + C3f3(x) Solve…

A: To check whether f1,f2 and f3 is linearly independent or not , find solution of trivial linear…

Q: True or False: We have 8 ["v 0 √√xdx 12.

A: The given integral is: I=∫08x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

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Q: Find all the values of x such that the given series would converge. (-1) xn 3" (n² +9) n=1 The…

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: y= x3/4 +1/3x , 0.6<=x<=3.7  Find arc length First solve √(1+y'2) .

Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: Solve the remaining side of the spherical triangle whose given parts are A=B=80° and a=b= 89. A. 158…

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw with x = cost+ sint, y = cost -…

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Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: Which of the following is a unit vector parallel to the vector ? Select one: 8 81 81 2 0,-/> None…

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Q: Question 11 If sin(0) = 7 and is in the 3rd quadrant, find cos(0) cos(0) = Enter your answer as a…

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Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.