Find fx, fy, f₂. fx = f(x,y,z)=x-√√√²+z² (Type an exact answer, using radicals as needed.)

Q: Find all the second-order partial derivatives of the following function. 5 3 9 f(x.y) = x°y -x +y 7…

A: Given :f(x,y)=x5y3-x9+y7

Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

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Q: > arctan (n) n=1

A: Given

Q: Question 4 If $10,000 is invested in a savings account offering 5% per year, compounded…

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Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: Identify the definite integral that computes the volume of the solid generated by revolving the…

A: Question- Identify the definite integral that computes the volume of the solid generated by…

Q: Find the arc length of the curve y = (e²+ e) from x = 0 to z = 2 Length:

A: Given  its derivative

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

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Q: 2X a) 12 S. Cos(スx) dydx

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Q: Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

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Q: ind an equation of the parabola that has a focus at (4, 7) and a vertex at (4, 6): Find an equation…

A: Topic:- geometry

Q: 00 The power series for the exponential function centered at 0 is ex = Σ k=0 convergence for the…

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Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: evaluate

A: We will solve the integration

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Given that the region is bounded by y=2x2 and y=x3 about the x-axis.

Q: Find the points of intersection of the graphs of the equations. 2+y = 18 -2x + y = 15 %3D %3D (х, у)…

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Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: 6 Consider the series n2 +n a. The general formula for the sum of the first n terms is S Your answer…

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Q: Show that the following series diverges. Which condition of the Alternating Series Test is not…

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Q: Learning Task 5: Analyze the given condition and calculate the sum using the properties of sigma…

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Q: Consider the second-order differential equation + 25y = 4.5 sin(8t). d²y dt² Find the Particular…

A: The given problem is solved below in detail.

Q: 3 Find the center of mass of a thin plate of constant density & covering the region bounded by the…

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Q: the answer is incorrect is not 64pi

A: see below the answer

Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

Q: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: For the position function s(t) = velocity at t = 0. Time [0, 1] Interval Average Velocity 15…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: How the calculation below was done? Can you show step by step?  x / (0.001-x) = 0.5 x = 0.000333

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Q: Solve for x. If needed, round to the nearest hundredth. Do you need to check for extraneous…

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Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: -7x - 2y=-13 x-2y 11

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Q: 2x+1 if x < 2 x²-1 if x ≥ 2 Let_ƒ(x) = Determine the value of ƒ (2). 3 5

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Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume…

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Q: If f(x) = 5x² ln(6x), then f’(x) = f'(x)= f’’’(æ) = f (*) (2) = f(5)(2) =

A: Please see the answer below.

Q: A piggy bank contains only nickels, dimes, and quarters. If there are 76 coins worth $8.50, and…

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Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: A car leaves leaves the sa the first car at that insta

A: Here we have to find the rate at which the distance between the two cars is changing.

Q: Find the arc length of the curve given by r= sin 0, 0s0< E a) 27 b) T c) 72 e) None of these O a.) O…

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Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

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Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

Q: y 5 2y 30 Find the length of the curve x = 5 The length of the curve x = - on 3 ≤ y ≤5 is 30 2y…

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Q: the sum of the series by using the first six terms. (See Example 4. Round your answer to four…

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Q: Match each function with its derivative. Y • x² x4 + 5x 1. cos x - - x8 8. sin x + x4 3x x4 -1.…

A: Concept: Differentiation of xm dydx=xm=mxm-1 dydx=ax=loge(a)· ax

Q: Find the area of the region that lies indie the circle r = 3 sin 0 and outside the cardioid r = 1 +…

A: Concept: Cardioid: A cardioid is a geometric figure with a heart configuration. It is the location…

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

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Q: Given cost and price (demand) functions C(q) = 130q+47,500 and p(q) = -2.8q +820, how many items…

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Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

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