Find the point on the sphere x2+y²+2²=169 that is farthest from the point (27,7,-21).

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

A: a=56,b=67,∠A=57° Figure

Q: Find the curvature of the space curve. r(t) = -10i + (t + 6)j +(ln(cos t) + 7)k x = sin t x = csc t…

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Q: The rate of expenditures on public elementary and secondary schools, in billions of dollars per…

A: st=4.08·e0.074t from 1990 to 2010 , therefore total 20 years

Q: Find (3x + 5y)dA where D = {(x, y) | {(x, y) | x² + y² ≤ 4, x>0}

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Q: 成 dx

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Q: Find the surface area of the part of the plane z = 7+ 5x + 2y that lies inside the cylinder r² + y²…

A: The surface  area of the of the part of the plane z=7+2x+6y that lies inside the cylinderx2+y2=1

Q: The revenue from the sale of a commercial vechicles is given by R = 65500x +52400(12+2x)¹ - 6000…

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Q: The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and…

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Q: F(x)=√√x g(x) = 2x (f/g)(x) = domain= X

A: F(x) = (x)1/3 g(x) = 2x fund   (f/g)(x) = ?

Q: Evaluate the following integral given f(x) 3 [ = f(x) dx 0 J = Sx 1 X if x < 1, if x ≥ 1.

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Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

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Q: Suppose (t) satisfies the following conditions: dx dt || 7e 7, x(0) = 5.

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Q: To find sin(cos-¹()), we let = cos-1- and complete the right triangle below. We find that…

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Q: The velocity function is v(t) = −t² + 6t - 8 for a particle - moving along a line. Find the…

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Q: ♫ 1. Part 1 - Application Write an equation for the orbit of Saturn in the form of q² Table 8.1…

A: Given:  Semimajor axis of Saturn = 1427(Gm) Where Gm= gigameters or 1 billion meters Eccentricity=…

Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: Given : f(x)=x8h(x)             h(-1)=4       h'(-1)=7   To Find : f'(-1)

Q: Find the linear approximation of the function at the given point. f(x, y)=-3 sin x + 5 cos y at (0,…

A: To solve the following

Q: 7. A region bounded by y = -x² + 4, y = 4 and x = 2 is revolved around the y-axis. Use cylindrical…

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Q: Evaluate In e³. In e³

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Q: Use mathematical induction to prove that, for na 1, n²-n is divisible by 3. Note: If you would…

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Q: Let f(x) = ln(x5) ƒ'(x)= = f'(2) =

A: Let fx=lnx5 To find f'x and f'2.

Q: Simplify f(x) = f'(x)= = (1³2²) ² f(x)= Use this result to find the derviative of f(x).

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Q: 14. DETAILS LARTRIG11 3.2.053. A triangular parcel of ground has sides of length 720 feet, 660 feet,…

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Q: (b) 1 x²√√²-25 dx, x> 5.

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

A: To find the volume V of the solid obtained by rotating the  region bounded by the given curves about…

Q: Use the chain rule to find the derivative of You do not need to expand out your answer. 13 3(-5x5…

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Q: Evaluate the integral. 1 √2-12 i+testi 2112 (10+7+3)2 dt

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Q: Find the points at which the following function is discontinuous. 8x + 1 f(x) = 5x-8 6x²6 Select the…

A: The given function is f(x)=8x+1if x≤-35x-8if  -3&lt;x≤36x2-6if x&gt;3 Since polynomial functions are…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) I cos t 5 + sin t…

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Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Q: Find all the first order partial derivatives for the following function. f(x, y) = 9x - 5y²-3

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Q: The figure below shows a 120-turn square coil rotating about a vertical axis at at w = 1,520…

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Q: a) Sketch the region S enclosed by the curves b) Find the Area of the region S. y=√√√2-2 and…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: What is the 10th term of the arithmetic sequence? 9 6 tn +5 4 3 2 -7 -8 -9 a10 = 436 a10 = a10 = a10…

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Q: Suppose that f(x, y) = y√³+1 at which {(x, y) |0 ≤ y ≤ x ≤ 1}. D Then the double integral of f(x, y)…

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Q: Find the slope of the tangent line to the curve 2(x + y)5 = y + 1 at the point (0,1). 5 6 [A] - 1 2…

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Q: The area of the surface generated by rotating the curve y = 2 - cos(4x), where 0 ≤ x ≤ π/3, about…

A: y=2-cos4x where 0≤x≤π3

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: the equation of the curve that passes through (3,4) if its s dy dx = 4x-5

A: Integrate

Q: 2. What is the area enclosed by x = √y, x=2-y and the x-axis?

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Q: Using implicit differentiation to find the first derivative for the equation 7x² + 5x 21 = Oequals,…

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Q: 3. The function v(t) = t² - 4 is the velocity of a particle moving along the x-axis, where t is…

A: Given :- The velocity function of the particle is vt=t2-4. a) The velocity function of the particle…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20…

A: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20…

Q: Find the Maclaurin series of f(x) = 3². Ma Σ n=0

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Q: Find the point on the plane x+y+z=0 that is closest to the point (1,1,1).

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Q: Consider the following vector field. 7 √x² + y² + (a) Find the curl of the vector field. F(x, y, z)…

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Q: Find dx dt dx dt at x = -2 if y=-2x² - 4 and dy dt = -2.

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Q: · Verify: |_ Sin³x - It cosx in = COS X

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Q: Find dy/dx by implicit differentiation. /xy = xy +56

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Q: The area under the curve is also the ________________ of data between any two points.

A: The area under the curve is also the ________________ of data between any two points.