Find the probability. A basket contains four apples and five peaches. You randomly select one piece of fruit and eat it. Then you random select another piece of fruit. The first piece of fruit is apple and the second piece is a peach

Q: Find the area bounded by the curve x2= 4-y and the x axis. Solve by vertical strip method and graph.

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Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3 logio(1) J =…

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Q: عمل 10. When the larger wheel has made 60 complete turns, how many has the smaller wheel made?

A: The linear velocity of the both the wheel will be same  as we know that linear velocity can be…

Q: First find ƒ' and then find ƒ. ƒ"(x) = 5 − (2x³ + 3x²), ƒ'(1) = −3, f(1) = 3. ƒ'(x) f(x) = = 0

A: f''(x)=5-(2x3+3x2),f'(1)=-3,f(1)=3

Q: 2- Sketch the graph of the following ellipsoids in space 1 x² + y² + 4z² = 4 4x² +9y² + z² = 36

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Q: find Y = √2x-1 (4,0) the point that 13 bh the Carve closest to the poin

A: NOTE: Refresh your page if you can't see any equations. . the given point is  the given function is…

Q: 9) Find the arc length of r(t) = (cos 4t, sin 4t, t) from t = 0 to t = 2.

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Q: -1 تريح 4 4 + 4 dr

A: Integration.

Q: The sequence is defined recursively. Compute the first five terms in the sequence. a₁ = 3; an =…

A: Given sequence is  an=a2n-2+2

Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3109100) 1=2 A…

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Q: valuate the indefinite integral as an infinite series ind the first five non-zero terms of series…

A: ∫sinx4xdx

Q: Use the Chain Rule to evaluate the partial derivative y = 3r sin(0). (Use symbolic notation and…

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Q: Find the area of the shaded region. -6 x = y² - 5 -4 -2 y 3 2 -2 -3 y = 1 x = e 2 y = -1 4 X

A: Area is bounded between x=y2-5 and x=ey from y=-1 to y=1.

Q: 1 L² -1 3 ترجم 4 x² 4 + 4 da

A: ∫-11x3x44+4dx

Q: Sketch the curve of the polar equation r = 2 sin 8. Find a rectangular equation for this curve.

A: Curve tracing.

Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

A: Slope of the tangent line = dydx we can also write as  dydx = dydtdxdt Given function  x = t2 + 2t y…

Q: Leonhard Euler (1707-1783) proved that π² (The proof of this is beyond dx = 7² 6 the scope of this…

A: We have to find the value of the given integral. ∫1∞1x2dx

Q: Compute the sum of the given series. If the series diverges, enter DNE. Use exact values. (-7²)…

A: If the sum of the series is converges then also find sum of the series

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e9, where the value ab is as…

A: NOTE: Refresh your page if you can't see any equations. . so the function g is  find the partial…

Q: For the series given, determine how large n must be so that using the nth partial sum to approximate…

A: ∑k=1∞1k4;En≤0.000015

Q: The rate of change of annual U.S. factory sales (in billions of dollars per year) of a certain class…

A: The rate of change of annual sales of a certain class of goods to dealers from1990 through 2001 can…

Q: T5. If a = between the two vectors O 90° 00° (5, -3, 2) and b 60° O 180° = -5, 3, 2 find the angle

A: The two vectors are a→ = 5, -3, 2b→ = -5, 3, -2 To evaluate: The angle between the vectors. Formula…

Q: Work is the application of the dot product, while torque is the application of the cross product.…

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Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for…

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Q: if f(x) = 19 9² (4) = 3 Where find f'(14) √x g(x), 9(4) = 2 and

A: if fx=xgx

Q: Find all the values of x such that the given series would converge. (10x)" n6 n=1 The series is…

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Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

A: The given series is: f(x)=51-x4

Q: A-Find the area of the region enclosed by the f curve y=4x³ and the 3 line y = x³.

A: Equations of curves, y=4x3 y=x5

Q: 1. DETAILS ! Set up an integral for the area of the shaded region. Evaluate the integral to find the…

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Q: 14. let F(x) = x O find the values of x where f'(x) = 5 X+6 Give exact anwers (not decimal…

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Q: Consider the general alternating harmonic series: Determine whether the series converges absolutely,…

A: The general alternating harmonic  series:-

Q: 2. Stan³ 2x.dx

A: The given integral is tan52x.  Repost the next question.

Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 29o…

A: The length of the ladder is 35 foot Angle θ=29∘39'

Q: f(x) x³+x²-18x +4. Over which of these domains could you define f-¹(x)? Remember that f(x) must be…

A: The given function is following,   f(x)=x3+32x2−18x+4    To find the interval where we could define…

Q: Suppose 3 R(q) = a company's revenue function is given by -q³+280q² and its cost function is given…

A: The revenue function is given by Rq = -q3+280q2 The cost function is Cq = 110+15q Where, q is…

Q: Find the total mass of a 1 meter rod whose linear density 39 kg/m for 0 ≤ x ≤ 1 (x + 1)² function is…

A: The linear density function of a 1 meter rod is:ρ(x)=39(x+1)2  kg/m     for  0≤x≤1

Q: on 20 Consider the graph below, which represents the velocity v(t) of a rowboat moving away from its…

A: The integral ∫abf(x) dx represents the area covered between x-axis and the curve f(x) in the…

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: Looking for 1 and 2

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Q: -1 3 √ 4 4 تويج + 4 dx

A: integration ∫-11x3 x44+4dx

Q: about the x-axis the region under the curve y = x¹/6 from 0 to 3. You first slice through the…

A:

Q: be derivatives fall the fometion 2/4-x²) X5 e. f is of a a. fis decreasing a X=2 b. f has of has…

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Q: Use an identity to find the exact value of the expression. sin(135° -30°) O √6 + √2 4 O√6 + √2…

A: The given expression sin135°-30°. We have to find the value of this expression.

Q: 27, 28, 29 and 30 Evaluate the indefinite integral as a power series. What is the radius of…

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Q: Find a formula for a function g(x, y, z) whose level surfaces are planes parallel to the plane z =…

A: A level surface to a given function can be found by setting the function equal to some constant C.

Q: Determine whether the series is convergent or divergent by expressing S, as a telescoping sum. If it…

A: To find the series is convergent or divergent if convergent  then find the sum of series.…

Q: By translating these systems to a single second-order equation, find general solutions to them: (a)…

A: To find the general solutions to the given system of differential equations and represent them as…

Q: A manufacturer has been selling 1850 television sets a week at $360 each. A market survey indicates…

A: x is the number of television sets sold per week px be demand function

Q: Determine f'(x) if f(x) = tan³ (x4) O f'(x) = 12x³ tan² (2¹) O f'(x) = 122³ tan² (24) sec² (x¹)…

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Q: f(x) = x find the derivative

A: