Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…
A: The given function is: z=fx,y=-4x3-6y2-7xy As we know that; The Power Law: ddxxn=nxn-1
Q: Step To sketch the graph of f(x) = 4x - x², first construct a table of values by evaluating the…
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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…
A: We will use standard method to solve this.
Q: Use the summation formulas to rewrite the expression without the summation notation. S(n): = 8i + 7…
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Q: Find the average value of the function over the given solid. The average value of a continuous…
A: Average value of the function = 1V ∫∫∫E f(x,y,z) dzdydx .
Q: Find the minimum distance from the point to the surface z = √4 - 2x - 2y. (-2, -2, 0)
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Q: Sketch the region R and evaluate the iterated integral IT x²y² dx dy y 10 8 6 2 y 10 8 00 6 4 2 [[…
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Q: Solve for a in the triple integral. (Enter your answers as a comma-separated list. f3-a-y2 ↑4-x-y dz…
A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a so integrate this and after put…
Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…
A: Find the volume of the solid bounded by the curve Z=ln(x2+y2)z=0x2+y2≥1x2+y2≤9
Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…
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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…
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Q: Consider the figures below. (1) 2- 14 (2) 4- O Continually increase the height of all rectangles. O…
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Q: Solve the differential equation by variation of parameters. y" + 2y + y = e-tIn(t) y(t)
A: Given the differential equation is y''+2y'+y = e-t lnt
Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…
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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…
A: The given function is fx,y=x2+y2+6x-18y+3
Q: Using Desmos or other graphing software, sketch the graph of y = sin (2x). a. Using the tangents,…
A: Y=sin(2x)
Q: Evaluate the iterated integral. 2 . (x+y+z) dx dz dy
A: The given integral is: I=∫02∫08∫01x+y+zdxdzdy As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1
Q: Examine the function for relative extrema and saddle points. (If an answer does not exist, enter…
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Q: We have found the following Wronskians. W = −e-³x; W₁ = −e-²x (4 + ex)-¹; W₂ = e¯x(4+ e*)-¹ Р We…
A: NOTE: Refresh your page if you can't see any equations. . here we have
Q: Consider the following function. f(x) = 4x² - 7x² Determine whether the function is even, odd, or…
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Q: 7. The sides of a parallelogram are 6.3 cm and 9.2 cm. One angle is 56° while the other angle is…
A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…
Q: -6-5-4-3-2- 9 10
A: We will solve.
Q: Using the circular disk method, find the volume of the solid generated by revolving about the…
A: Given curves , y=x , (1)x=4. (2)
Q: need
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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…
A: We will solve.
Q: Find the area between the curves. x = -5, x=2, y = 2x² +5, y = 0 The area between the curves is…
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Q: Solve the following ODES by Undetermined Coeff. X X A 1 3X 2 • Y -2y = 4y + 8y = 2³x + 8x² - + 2X -…
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Q: Find a formula for the inverse of the function. \\ f(x) = f-¹(x) = 1+e 1-e
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Q: Consider the function f(x) = √x. (a) Find the first and second Taylor polynomials for f at x = 1 .…
A: Given : taylor series =fx=f(x0)+f'(x0)(x-x0)+f"(x0)(x-x0)22!+.......... first taylor polynomial=…
Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.
A: This question is based on solution of inequality.
Q: Find the Jacobian (x, y) / d(u, v) for the indicated change of variables. x=u-v², y = u + v a(x, y)…
A: Follow the procedure given below.
Q: Evaluate the integral. (Use C for the constant of integration.) tan(x) cos(x) dx
A: ∫tan8xcos9xdx
Q: 2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the…
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Q: Solve the following ODES by Undetermined Coeff D Ş 17 4X y - 16 y = 19.2 € + 60e, y(a) = ý (0) -4X…
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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…
A: Given 16y''-40y'+25y=0
Q: Tutorial Exercise Consider the differential equation x²6xy +10y=0; x², x5, (0,00). Verify that the…
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Q: Find the centroid of the region bounded by the graphs of the functions y = 3x², y = x² + 4 The…
A: Centroid Of the Region : x¯ = 1A∫x=ax=b xf(x)-g(x) dx and y¯ = 1A∫x=ax=b 12fx2-gx2 dx…
Q: Which of the following planes is normal to the line given as: x = 2t + 3, y = 5t - 7, z = t - 4 O a.…
A: This question is based on dot product.
Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…
A: The given curves are: y=6x-x2, y=-2x Now find the point of intersection between the given curves.…
Q: 21 (a) ²x¹ d(x³). Note a(x) = x³. 3 (b) (²x² d(ex). Note a(x) = ex 2
A: Given :∫1213x4dx3∫24x2dex
Q: need the answer quickly
A: simplification
Q: Given that calculate f'(-1). f(x) h(-1) h'(-1) = || || x¹¹h(x) 3 6,
A: Given, f(x)=x11h(x)h(-1)=3h'(-1)=6
Q: the particular Solution is 1 84-1 2. = 2. 1 04-1 — (ex) - 1/₂₁ (2x), D4-1 = LYDB (ex) = 4p3 De_…
A: Given D4-1y=2 sinhx+sinx The auxiliary equation is m4-1=0⇒m22-12=0⇒m2-1(m2+1)=0 Therefore m= ±1, ±i…
Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}
A: We can find the range as below.
Q: The RideEm Bicycles factory can produce 130 bicycles in a day at a total cost of $10,400. It can…
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Q: f₁(x) = 9, f₂(x) = cos²(x), f3(x) = sin²(x) linearly dependent linearly independent
A: Here given functions are. 9. ,Cos2x , sin2x
Q: Question 25 Use the slopes of tangents to determine whether the function f(x) = -6x² + 36x is…
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Q: What is 6x² dx?
A: We will solve it
Q: calculation for P.I ур cos²x D²+1 2 2 cos²x D² + 1 1 {3 2 21 - 1+ cos2x D² + I HOW DID HE GET THE…
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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.
A: Topic = Functions
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