Evaluate the indefinite integral. f7 sin³ (2) sin³ (x) cos(x) dx = J + C

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle…

A: Given that , Fx,y,z=-xy , -xz , -yz and C is the triangle with vertices 0,1,0 , 0,1,5 , 3,1,0…

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Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

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Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

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Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: 8. The following table shows the number of Facebook members f(t) in millions over time t, where t =…

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Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: A right triangle has an area of 20 square centimeters and a hypotenuse of 10 centimeters. what are…

A: Solve the following

Q: 33. Water is stored in a right circular cone as shown. Water is being added to the cone at a…

A: We have to find rate of change of height of water.

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

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Q: 10) a 26 foot lodder bons against a building so that its foot moves away from the building at the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: X √√ ( 2² + 2)² This can be transformed into a basic integral by letting Consider the indefinite…

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Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

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

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

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Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

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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…

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Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?

Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

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

Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

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Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c)…

A: Even power function With even-powered power functions, as the input increases or decreases without…

Q: 2 Find the area between the graph of y = 5 – 5x³ and x-axis and − 1 ≤ x ≤ 8 using properties of…

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Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: 5. Consider the polynomial graphed to the side. Answer the following questions using that function.…

A: We need to interpret the graph.

Q: (b) Given the graph of f (x) below (blue), select the correct graph of the transformation y = 2f (x)…

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Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: 6) as an ice black metts, the note at which its moss M, decreases is directly proportional to the…

A: according to bartleby guide line we do only first part of multipleplease re post other parts 6)…

Q: Differentiate. y' = у 4x 3 - tan(x)

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. Use the fact…

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local Answer Separate…

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Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

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Q: 12. Find f x √(1-x²)³ dx

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Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-1)=

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