Sketch the region whose area is represented by the definite integral. dx 2 4 Use a geometric formula to evaluate the integral.

Q: The angle of clevation rm a puinit on the prosnd N the top of e tree in 33.6 depreces. The angle of…

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Q: How would you classify the sequence 0.45,0.045, 0.0045, 0.00045, ........... А. Arithmetic Series В.…

A: 0.45, 0.045, 0.0045, 0.00045,..........a1=0.45a2=0.045a3=0.0045a4=0.00045Ratios of two adjacent…

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A: Given    Find derivative of function

Q: An equation of an ellipse is given. 7x^2 + y^2 = 49 Determine the length of the minor axis.

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Q: x + 9 4 х — 3 Solve the inequality 3

A: x-33≥x+92-4

Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x) b) Let y=cosx-sin.x , show that…

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Q: At a given moment, a plane passes directly above a radar station at an altitude of 6 miles and a…

A: Let's find.

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

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Q: 5. harmonic oscillator is The initial value problem which describes the motion of a certain undamped…

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Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

Q: Differentiate the function y = -5e0

A: given function y = -5e0

Q: 4x2 + 21x + 54 -dx x² + 6x + 13

A: Given,            ∫4x2+21x+54x2+6x+13dx

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(4,…

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Q: 13. A town's population in 2000 was 36,000 people. In 2005 the population had risen to 54,750.…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 5…

A: Given problem:-

Q: Ing us. 1. y = 7* 2. y= 8*

A: 1)y=7x 2)y=8x^2+1.

Q: Month: Q/ Finc 4he X-c (x)

A: f(x)=x3-x2+2x2

Q: Current Attempt in Progress Find the value of b for which the differential equation (yeTwy + x) dx +…

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Q: 2. Find the value of xy dx + Vy2 + 1dy, where C is the path shown on the graph below. (Hint: Use…

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Q: 1 dx xV9x² + 4

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Q: f(x) = 5x4 − 2x5,    F(0) = 8 Find the antiderivative F of f that satisfies the given condition.…

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Q: Find the gradient of the function at the given point. In(x2 - Y) - 9, (3, 8) Vz(3, 8) =

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Q: 5. The initial value problem which describes the motion of a certain undamped harmonic oscillator is…

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Q: a cost function of C=16x2−133x+9878C=16x2-133x+9878, where CC is the cost in dollars and xx is the…

A: Given query is to find the units to minimize the cost.

Q: solve

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Q: 1 dx xVx² – 9

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Q: 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a…

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Q: You are given the rate of investment dI/dt. Find the capital accumulation over a five-year period by…

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Q: A B C D E F 1. x2 + 4y? + 9z? = 1 2. 9x? + 4y + z? 1 3. x? – y? + z? = 1 4. –x? + y – z? = 1

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Q: use residues to evaluate the define utegral

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Q: 10. For the function f(x) = -2· ex + 6, find the domain, range, and equation of the asymptote.

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Q: Antiderivatives resulting in inverse trigonometric function x2 -dx x4 + 3

A: I am attaching image so that you understand each and every step.

Q: Ax) =x² f(x) — х* — х+ sin(x) — 1 Solve this question by the Fixed-point method on the topic of…

A: This is a problem related to numerical method. Based on the general formula of fixed point iteration…

Q: Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3,…

A: As we know that; The expression for the the vector projection u onto v is: projvu=u·vv2v And The…

Q: Question 12A.)

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Q: 1. Evaluate the double integral ty dA, where R is the region in ry-plane between the circles of…

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Q: The vector parametric form of the tangent line to r(t) = (3t², ¿, t – 1) at t = -5 is

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Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2-cos(0)

A: To use polar coordinates  that are: x=r cos θ, y=r sin θ & dA=r dr dθ 0≤r≤2-cos θ0≤θ≤2π

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Q: What does the average velocity over the time interval [a, b) approach as we let b a. Mathematically…

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Q: 7. Prove that if A and B are any vectors, then the vectors BA + |A|B and B|A- JA|B are orthogonal.

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Q: 1 Imit |2 – x| x → 2

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Q: What is the exact value of sin(67.5°)cos(22.5°)?

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Q: L 1) For f sin sin 2 2πmx 2nnx sin sin L dx , write the solutions for the following two sets m = 4,…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (12,…

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Q: Use hyperbolic functions to parametrize the intersection of the surfaces x2 - y = 9 and z = 5xy.…

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