derivative its actually only cos^12 on the last idk why

Q: Find the general indefinite integral. Use an upper-case C for any arbitrary constant sin (7x) 6 +…

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Q: f(x) and g(x) are continuous functions. Find the derivative of each function below then use the…

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Q: . 40 기도) 3 k=3

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Q: A volume is described as follows: 1. the base is the region bounded by y = 5 - volume = 5 - x² and y…

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Q: and x = 4. y 15 10 5 -5 Find the area of the re -10- 2 4 X

A: To find the area of region bounded by given curve. Given y = -x2 + 8, y=x2 , x = 0 and x = 4.

Q: Rewrite the function P = 152(0.5) in the form P = Poekt. (Round your answers to four decimal…

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Q: 3. Solve the system of equations using Cramer's rule. 2x = 2-8y 3x+10y = 5 i. What is the…

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Q: 2. a. S. 12 (In x) ¹2 X dx Find each indefinite integral. 6 b. f sec²0 tane de

A: We need to find each indefinite integral.

Q: 2 6 f sec 0 tane de

A: To Find : ∫sec2θtan6θdθ

Q: Find the curl of the vector field ♬ = curl F: i+

A: For a vector field F = { Fx , Fy , Fz } Curl F = ijk∂∂x∂∂y∂∂zFxFyFzGiven vector field F = { 2zcosx ,…

Q: nt Use the model A=Pe¹ or A=P per year for t years. =P ( 1 + ²) ² n , where A is the future value of…

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Q: Find the equation of the tangent to the curve at the point where x = 4. f(x) = √x √x+1

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Q: sinx 5. Find the equation of the tangent to y = e at the point (0, 1).

A: y=esinx, (0,1)

Q: 31. 8th term is 8; 20th term is 44

A: 31. 8th term is 8; 20th term is 44.

Q: c. Repeat part a with h = 0.025. Compare the results with those found in a and b. d. Find the…

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Q: Given the following graph of J(2) Determine for f(x) where any relative maximum(s), relative…

A: We are given the graph of f'x.We have to find where relative maxima, relative minima, point of…

Q: Use the values 3 1³ F(x 16 90 f(x) dx = 6 and g(x) dx = 2 to evaluate the definite integral.

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Q: 3. A simple pendulum is a weight on the end of a string or rod, which when given an initial push,…

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Q: Graph the equations and shade the area of the region between the curv 3. Determine its area by…

A: To graph the equations and to shade the area of the region between the curves. To determine its area…

Q: 6b Expand each logarithmic expression completely: log (100x² - 200x)

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Q: Find the length of the curve 9y2=2x3 from x=0 to x=30 when y greater or equal to zer0

A: To find the length of the curve 9y2=2x3 from x=0 to x=30 when y≥0.

Q: Given the following graph of f(x), graph the function of (1/ f(x))

A: Some things to note before we proceed: f(x) and 1f(x)  have same sign, i.e. when one is positive,…

Q: A student was asked to find the derivative of a complicated function. The function had the form Y =…

A: y = f(x)g(x) The student's solution, y' = 5(1 + 2x)(2)(3x2-5)-2 + (1 + 2x)5(-2)(3x2-5)(6x)   The…

Q: It is observed that a certain bacteria culture has a relative growth rate of 15% per hour, but in…

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Q: 1. Evaluate Jo 4- 2x dx using the Area Interpretation.

A: The given integral is ∫034-2x dx

Q: Find the general indefinite integral. Use an upper-case C for any arbitrary constants. Se sin (7x) 6…

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Q: Question 2 Consider the function f(x)=2x" ln(x + 8x+8). The function f is complicated enough that it…

A: Given: f(x)=2xalnx4+8x+8 Stationary point is at x=x0 that is close to x=-1 a=3 Chain rule for…

Q: The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: E as a function of t.

Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

A: Graph

Q: X N Ả xây ây ty xác - 2 Surface indegral ? (SSRIS)

A: Given that,    A → = x  ax ∧ -    ay∧ + yz  az∧ and a semi-sphere with the origin center and the…

Q: This exercise uses the radioactive decay model. After 3 days a sample of radon-222 has decayed to…

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Q: 13. Can y = sin(12) be a solution on an interval containing t = 0 of

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Q: ASK YOUR TEACHER Find the change in cost C for the given marginal. Assume that the number of units x…

A: Short Explanation::-

Q: Find the inverse function of f. f(x) = log4(x - 2) f-¹(x) =

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: π/4 2 COS X Se е 0 sin x cos x dx

A: ∫0π4ecos2xsinxcosxdx

Q: Explain two situations involving a triangle with unknown sides and angles and discuss how you know…

A: Explain two situations involving a triangle with unknown sides and angles and discuss how you know…

Q: The size of an exponentially growing bacteria colony doubles in 9 hours. How long will it take for…

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Q: find the curvature k of the curve r(t)=2 sin t, 2, 2 cost t, when t=pi/2

A: The given curve is: r(t)=2 sin t, 2, 2 cos t

Q: 1. 1 5n+ 2

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: 5 +1+ 1 | 5 + 1 25 + ..

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Q: 7. Evaluate the following expression: 10! 6! 4!

A: => 10!/(6!.4!)

Q: Given f(x, y, z) = √5x + 2y + 6z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) =

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Q: Use a suitable u-substitution to evaluate the following integral. Use exact numbers, not decimal…

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Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1200x dollars and…

A: To find out the number of units that will produce the maximum profit and also the maximum profit.

Q: Given the series: 1 + 4 8 1+ + does this series converge or diverge? O diverges converges If the…

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Q: Rational functions where the degree of the numerator is greater than the degree of the denominator…

A: To determine whether the following statement is True or false. Rational functions where the degree…

Q: f(x, y) = fz(2, 1) = 2x² + 5y²

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Q: Water flows into an empty reservoir at a rate of 2400 + 10t gal/hour. What is the quantity of water…

A: Water flows into an empty reservoir at a rate of 2400+10t gal/hour.  To find the quantity of water…

Q: The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial…

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