1 dx 3 (4-x²) ³/2

Q: 4x+9 (x-1) (x+1) (x+4)

A: we have given integration

Q: Consider the following integral: This may be evaluated by using integration by parts. -) The product…

A: According to Bartleby guidelines we supposed to do the first one of multiple questions kindly re…

Q: A 0.8-liter bottle of Mexican wine costs 108 pesos. At that price, how much would a half-gallon jug…

A:

Q: One employee of a computer store is paid a base salary of $988 a month plus a 5% commission on all…

A: Given,One employee of a computer store is paid a base salary of $988 a month plus a 5% commission on…

Q: The parametric equations [x = 3t-3 sin(t) (y=3 - 3 cos(t) produce the curve -20 -15 -10 -5 12- 10- 8…

A: we have given parametric equation

Q: y 4 2 (a) lim f(x) = x-c+ (b) lim f(x) = X-C (c) lim f(x) = X-C 2 (4, 5) C = 4 4 (4,-5) 6 8 X…

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Q: Consider f(x, y) = x² - y²x - xy. The three crtitical points are (i) (0,0) (ii) (0,-1) and 1 (iii)…

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Q: Calculate the area of the parallelogram whose adjacent sides are: à = [6, 3, −2] and b = [1,3,−1]

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Q: Find the limit of the sequence: 8n² +9n+7 8n² + 4n+ 9 an

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Q: To determine whether the series series Σ n=1 1 NP n=1 n³ +7 n7 +6 converges, we can use a limit…

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Q: Given f(x) = x² + 8x, find an expression that gives the slope of the line from (−2, ƒ(−2)) to (−2+h,…

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Q: #3) Evaluate the definite integral below (Remember, like for all the other problems, show all your…

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Q: Evaluate the following integral using trigonometric substitution. S dx (121+x²)²

A: = x + c

Q: Let f(x) = = lim x→7- |x - 7. Evaluate the following limits. ƒ(x) − ƒ(7) - x - 7 f(x) — ƒ(7) = lim…

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Q: Find fx,fy, and f₂, and evaluate each at the given point. xy x+y+z f(x, y, z) = fx(x, y, z)= fy(x,…

A: Find first three partial differential values

Q: all answers given are wrong , please can you check . thanks .

A: We knoiw that integration by parts, is given by

Q: 1. Evaluate the double integral over the region R that is bounded by the graphs y = x² and y = x³.…

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Q: Considering Φm(Φ) Show that: .2п * dom() =0 for all values of m #0 the following set of functions: 1…

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Q: A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running…

A: The given figure

Q: Find the equation for the plane through the point Po = (3,4,3) and normal to the vector n = 2i + 6j…

A: By the answering guidelines of Bartleby, we can answer only first question from multiple questions,…

Q: Calculus 2 ( 2nd week) (area between curves and integration by u sub) Suppose that Sue runs…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. 11x 7 - 2x (a) lim x→ 7+ 2…

A: To solve the following limits.

Q: Use the comparison test or limit comparison test to determine if the series converges. n³ - 1 n+3…

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Q: Given the series ∞ n= 3 8 n-1 Does this series converge or diverge? O converges O diverges If the…

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Q: Question 7 Let f (x) = 2x2 + 2x - 24. What is/are the y-coordinate(s) of the y-intercept(s) of the…

A: f(x)= 2x²+2x-24

Q: 1,00 4²₂ Find the value of 4x²e Determine whether (4n³e="³²) n=1 Enter C if series is convergent, D…

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Q: Evaluate each limit (a) lim(x➡️b) (x³-b³)÷(x⁶-b⁶)

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: Please attempt the following problem (do both as they count for one question) Express the area of ℛ…

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Q: Question Determine all intervals on which the graph of f is increasing. -6 -4 -3 -2 -1 -2 -3 -4 -6 1…

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Q: The radius r of a sphere is increasing at a rate of 7 inches per minute. (a) Find the rate of change…

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

Q: Find the angle between the vectors. u=i-3j, v=4i+2j - 2k

A: The given vectors  and .The aim is to find the angle between the vectors.Note:  Since you have asked…

Q: what is the area of the parallelogram with the vertices : A=(0,0,1) B=(3,2,3) C=(5,3,5), D=(2,1,3)

A: Using cross product of vectors, we can find the area of parallelogram.

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: If f(x)=x²-9, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

A: We have f(x)=x2-9And we want to solvef(x+h)-f(x) we find the f(x+h)I.e.  f(x+h)=(x+h)2-9=x2+h2+2xh-9

Q: Given the series 6 18 + 6 36 converges 54 216 Does this series converge or diverge? O diverges If…

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Q: Find the length and direction (when defined) of u x v and vxu. u = 3i, v= -9j -

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Q: 2. Evaluate 3 3-6zy dA where D is the region shown below. y=x² y=-x² Ans: 36

A: Here we have to evaluate the double integral where D is the region shown in the figure below.

Q: ) A thermometer is taken from a room where the temperature is 18°C to the outdoors, where the…

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Q: Suppose that Sue runs faster than Kathy throughout a 1500-meter race. What is the physical meaning…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 4. Differentiate the following. Simplify your answers. a) ƒ(x) = (5 + 7x)² (3x − 1)6 b) f(x) = 6x-1…

A: The Power Rule:The Chain Rule:The Product Rule:The Quotient Rule:And use the common…

Q: Let f(x,y,z)=x² √²+z² Compute f(2, -3,2) and f(7,8,-6). f(2,-3,2)= (Type an exact answer, using…

A: we given a function

Q: Suppose and Then ((fog) – (g°f))(x) =| f(x) = g(x) 8 x+1 x+1 8

A:

Q: Draw a graph that is continuous, but not differentiable, at x = -2. Choose the correct graph below.…

A: A function is not differentiable if left hand derivative is not equal to right hand derivative.

Q: Find the arc length of the curve ä = Length = 7y³/²2 from y = 0 to y = 10.

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Q: 285. 10 [(1 - cos ³0) e) cos²0 sinode

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Q: Calculate the integral approximation Se for 6 S₂ 72²1 dx. 2

A: ∫abf(x)dx≈Δx3(f(x0)+4f(x1)+2f(x2)+⋯+4f(xn−1)+f(xn))Δx=b−an.f(x)=1x2+1,a=2,b=6, and…

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: According to the given question-Rate = 0.19 m/secLength of plank = 5mWe need to find the speed when…

Q: Calculate (-3.³√x) dx The solution to any indefinite integral of the type given above will always…

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by…

A: GivenThe aircraft will become airborne when its speed reaches 400 km/h.The aircraft will become…