Compute ||u||, |v||, and u v for the vectors u = -9i + 3k and v = -5j. .

Q: Use double integrals to find the mass of the lamina (thin plate) which occupies the planar region…

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Q: Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Find an equation of the line, 1(t), containing the points (1, 3, 1), (2, -3,2), and (5, 7,2). (Write…

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Q: Find the radius r and height h of a cylindrical can of total surface area 140 cm² whose volume is as…

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Q: Determine the value of f"(1) when f(x) 3 ln (2x + 1). 1. f"(1) = 813 5. f"(1) = = 2. f" (1) 3. f"(1)…

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Q: Demand for apartments in a certain town is D(x)=1480−3x​,and the supply is S(x)=500+11x​, where x…

A: To find the equilibrium point, we need to find the value of x for which demand equals supply, i.e.,…

Q: 4. Set up an integral in spherical coordinates for the volume of E, where E is the solid top-half…

A: Given that, E is the solid top-half hemisphere defined by              0≤x2+y2+z2≤9    and  z≥0.…

Q: An android's eye is outlined by the graph of f(x) = 1 - x² from x=-1 to x=1. The android wants to…

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Q: 3ax 2-5e3x -dx

A: Here, we have given integral now we have to solve it by using general formulas of integration.

Q: Describe the surface. z = 5 − y2 Write an equation for the cross section at  z = 0  using x and y.…

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Q: et R be the region inside the inner loop of the limaçon r = valuate fr dA. -√3-2 cos 0.

A: r=3-2cosθ

Q: Let f(x, y) = x³y² and c(t) = (t², 2t³) (a) Calculate: Vf.c'(t) = = (b) Use the Chain Rule for Paths…

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Q: Use the chain rule to find дz əs дz at || Z= sin(0) r дz əs and дz at r = st, 0 = s5 +t5

A: we have given z=sinθr, r=st and θ=s5+t5 we need to find the given partial derivatives

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. 2n 3n+1…

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Q: POWER PROPERTY log, (u)" =nlog (u)

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Q: Solve the problem. Evaluate dw dt -(1) 2/9 49 T 2/9 -17/2 7 at t = for the function w(x, y, z) = ; x…

A: w(x,y,z)=xyzx=sinty=costz=t2fromchain rule we know dwdt=∂w∂xdxdt+∂w∂ydydt+∂w∂zdzdt

Q: Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

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Q: A graph of f is shown above. Estimate the following integral. When x=2 to 18  f(x)dx

A: A graph of the function fx is given. We have to find the value of ∫218f(x)dx.

Q: Describe the surface. x2 − y2 = 5 Write an equation for the cross section at  z = −5  using x and…

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Q: Consider the following function. x), a-0, n=3, 0≤x≤ 0.2 (a) Approximate f by a Taylor polynomial…

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Q: 8. The position function of a particle is given by s(t) = 2t³ + 4t² — t, where time, t, is in…

A: Given, xt=2t3+4t2-t a.  To find the velocity function, differentiate the position function with…

Q: 10. Determine the equation of the tangent to y = x² - 4√x at x = 4.

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Q: Read the definition of the natural logarithm function. The natural logarithm of a number x>0 is…

A: The natural logarithm of a number x>0 is lnx=\int_1^x (1)/(t)dt

Q: still need the answer

A: Please see the below pictures for detailed solution.

Q: 19

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Q: Logarithmic and Exponential Function. Find the derivative of f(x) = ln(sin

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Q: Find the first partial derivatives of the function. f(x, y, z) = x³yz² + 7yz 2.2 f(x, y, z)= 3x y=²…

A: f(x, y, z) = x3 y z2 + 7 yz Find the first partial derivative of the function

Q: Use the shell metho to find the volume of the solid generated when the region described is revolved…

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Q: Find the area of the shaded region. f(x)=x²-8x³ +24x²2. g(x) = 19x+52 The area is. (Type an integer…

A: NOTE: Refresh your page if you can't see any equations. . the given functions are intersection…

Q: (4) Switch the order of integration for the double integrals below from dydz to drdy, or vice versa.…

A: Here we have to change the order of the integration.

Q: 7. Calculate X 1 + xy Do problem 7 -dA, R= [0, 1] x [0, 1].

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = t-√√t, [-1,…

A: ft=t-t3

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: Here the given function is f(x,y)=x2y25x4+y4 We have to find two paths of approach from which we can…

Q: In the article "Do Dogs Know Calculus?" the author Timothy Pennings explained how he noticed that…

A: Let DC be x and t(x) represents the time taken by the dog, Elvis in travelling the distance AD at a…

Q: - Identify the points of inflexion of the function. - Identify the largest and smallest value of…

A: To find the points of inflection of the function f(x) = 10x3 + 6x2 + 7x + 20, we need to find the…

Q: Evaluate the indefinite integral. Use C as your arbitrary constant. (Note. Click the "sigma button",…

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Q: Graph the two curves y=6x and y=6√x These curves cross when x=0. Find the x-coordinate of the other…

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Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. Σ…

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Q: what is the amplitude

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Q: use the Alternating Series Test to determine if the series If the Alternating Series Test does not…

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Q: given by f′(x)=2x2+5x−8. If the point ​(0,2​) is on the curve, find an equation of the curve.…

A: Slope of the tangent is given by derivative of the curve. Need to integrate the slope to find curve

Q: use the Alternating Series Test to determine if the series converges. If the Alternating Series Test…

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Q: Let f(x) = x² + x³ + 2x. Find (f-¹)' (4).

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Q: Find the directional derivative of f(x, y, z) = 2³ - x²y at the point (-1, -2, 4) in the direction…

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Q: 2. Find all relative maximum(s), relative minimum(s), point(s) of inflection, and interval on which…

A: A function y  We have to find relative maximum  Relative minimum and inflection points

Q: A cattle-breeder has two types of cattle-fodder. The first type contains 60 units of carbohydrates…

A: Cattle fodder of the first type, Cost per kg = 1.5 euros Carbohydrates per kg = 60 units Protein per…

Q: For time, t, in hours, 0 ≤ t ≤ 1, a bug is crawling at a velocity, v, in meters/hour given by 7 2+t…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Given: h(r,s,t)=ln(3r+6s+9t) We are required to find: The directional derivative of h at (1,1,1) in…

Q: Evaluate the limits u DR in words): ΔΔΔ Tim DX-40+ [(tan 2x)^ ] = 7.

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