Find the gradient of the function f(x, y, z) = zy², at the point (0,-1,-1) ▼ƒ(0, −1, −1) =

Q: Evaluate the integral 9 3 12 SS S 00 4y 9 3 12 SSS 0 0 4y (Type an exact answer.) 3 cos (x²) 4√2 3…

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Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

A: We have to evaluate the integral.

Q: = SCADX (40x e**²-5) dx 1. S[(GN=51) 10 Jax = log2 (OXP²41) 6X 7- ² 105_ [ [10CC (1014 4X²-5 8. 5 e…

A: Note:  As per our guidelines we are restricted to solve more than 3 subparts of a problem.…

Q: solution to evaluate 3 2+1 y-1 ГГГ x + y2 dx dy dz ? Z 3 4 Ⓒ √ ²² - ² - ² + + 2+1 A 6 2 2 В 3 o fl с…

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Q: Consider the region E which is enclosed by the plane z = 45 and z = 5x² + 5y². Compute II. LAV zdv E

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Q: [6 6x ln (x + 5) dx

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Q: 73. Which statement determines if set x is a proper subset of set lyl? 1. 2. 3. 4. x.issubset (y)…

A: If there are Two sets X and Y, such that X is a proper subset of Y, it means Y contains all the…

Q: Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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Q: f(x) = x²e-x (a) Find the exact value of the minimum of f for x ≥ 0. f(x) = Find the exact value of…

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Q: Let y differentials to estimate Ay = 5x² + 6x + 4. If Ax Ay ~ = 0.1 at x = 1, use

A: The objective of the question is evaluate the "∆y".

Q: Use the linear approximation of f(x, y) = e²x²+2y at (0, 0)

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Q: y"" y'=sin(3x)

A: The given differential equation is:y'''-y'=sin(3x)

Q: b) Ln=1 Inn n2

A: Given query is to find series converges or diverges.

Q: 33-41 Use logarithmic differentiation to find the derivative of the function. 33. y = (2x + 1)³(x² −…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Obtain the general solution by the indicated technique: 2.2 y'=x-2ycot 2x linear equation of…

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Q: 39. y = (cos x)*

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Q: (c) Let F(x, y, z) = x^3i + y^3j + z^3 k i) ∇ · F (ii) ∇ × F

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Q: ૨ 2 (D² -2D +10) y =0

A: Solution : Given that DE is

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Q: Nonhomogeneous Linear Equations In this section we learn how to solve second-order nonhomogeneous…

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Q: 21. lim 8118 2x5 - x x² + 3

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Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

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Q: Find the slope of the following lines.

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Q: At what point (x, y) is the function f(x) = -8x - 8 closest to the origin? Enter an exact answer.…

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Q: Question Three (a) Prove that F(x, y, z)= (y² cosa+z³)i+(2y sin a-4)j+(3rz+2)k is a conservative…

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Q: Assume x and y are functions of t. Evaluate dy/dt for 2xy−2x+4y3=−56​, with the conditions dx/dt=…

A: Given: 2xy−2x+4y3=−56​, dx/dt=-16, x=4 and y=-2

Q: A non-native species of fish is introduced into a lake and is attacking a certain type of native…

A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

Q: Consider the function f(x)= 2x-3 x-1 1. f(x) has a horizontal asymptote at y = 2. f(x) has a…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: We conclude by showing the max and minimum points. maximum (2,26) minimum (1,1) maximum (-2,-26)…

A: d dx(xn)=nxn-1for critical points  put f'(x)=0fot critical values of x  if  f''(x)>0  minimum and…

Q: (x-9) State where the power series Σ=1 is centered n³

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Q: Why can we pull the 2 out front and change the bounds of the integral from -2 to 2 to 0 to 2…

A: Substitute y^2=u then integrate with respect to u

Q: 2. Let f(x) = x3 3 -x+1. "Somes to (a) Find the value(s) of x for which f'(x) = 0. (b) Find the…

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Q: a) b) (2,5,-1). Find the values of a,b in a +ib=(3+i)(2-3i where i=√√-1 Find the position vector…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: The principal argument of the complex number −9+2j (rounded to the nearest degree) is equal to: 76°…

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Q: At what point (x, y) is the function f(x) = 2 - 4x closest to the origin? Enter an exact answer.…

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Q: A cadet engineer determines that when x hundreds units of a particular commodity are produced, the…

A: Topic- Application of derivatives We are given that A cadget engineer determines that when x…

Q: Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or…

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Q: Use a second derivative test with a well written conclusion to find the inflections point of the…

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Q: 2. 3 (D-9)³y=0

A: Let's solve given diffential equation.

Q: дz дz Given xyz = z + sin(x + y), find and Әх ду

A: The given multivariable function is:xyz=z+sin(x+y)

Q: _ƒ(x) = 2 sin X at x = 0.

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Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: Find the following using the table below. X 1 2 3 4 f(x) 13 2 4 f'(x) 1 3 4 2 g(x) 2 4 3 1 g'(x) 2 3…

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Q: 2700 360 * 31, cos 0 = 1/8, 311/2 <0 < 2 ४ 1% کے too (1) ³+ (8) ²

A: given  cos∅=183π2&lt;∅&lt;2π there for ∅ is in 4 quadrant in 4 quadrant sin∅ is negative and tan∅ is…

Q: Determine the convergence or divergence of the series and identify the test used. Σ η = 1 1 3-2

A: The given series is  convergent .Solution is given below.

Q: Find the sum of the series -6 -6 -6+- +...+ 2 Answer: -6 2n-1 ✔

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Q: 8 2 √√8x |8x – x dx 0

A: Given ∫088x-x2dx