Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 60y + 90z = 21 OP₂: 6x - 4y - 6z = 7 OP3: -30x + 20y + 30z = 6 OP4: 18x12y + 18z = 8

Q: Given F(x, y, z) = ei + (xe + e*)j + ye² k. (a) Show that F is conservative by finding curl F. (b)…

A: use the fundamental theorem of calculus and partial derivative for finding the line integral.

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

A: Solution of given question is written in below steps.

Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

A:

Q: 14-13-12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Find an equation for the graph above. 4+h(t) 27 2 1 2 -2-…

A: The given graph is:   Consider the function is: y=AsinBx-C+D From the given graph, the maximum…

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find two positive real numbers x and y such that their product is 2450 and x + 2y is as small as p…

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Q: Solve the following ODES by Undetermined Coef D Ş 17 4X y - 16 y = 19.2 e + 60e, y(a) =ý (os. 4X -4X…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Given that      differential equation   6y''+y'-y = 0      ,        y1= ex3         and…

Q: -6-5-4-3-2- 9 10

A: We will solve.

Q: Consider the following. [[X] = Sketch the graph of the function. Use a graphing utility to verify…

A: Here we have to sketch the graph and then finds its domain and range.

Q: pls

A:

Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

A:

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: Consider the following function. f(x) = 4x² - 7x² Determine whether the function is even, odd, or…

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Q: Let f(x) = x²7x + 10 4x6 Find the following. If an aspect of the graph does not exist, write DNE 1)…

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Q: - The complementary function is १ex . Ус where C₁, C₂, C3, C4 си the particular Solution se = c₁ex +…

A: This is a problem of ODE. Please follow the procedure given below.

Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) x = s+t,…

A: We can answer both the answer as below.

Q: What is the domain of the reciprocal function of f(x) = 5x+1? {x € R\x2} c. b. (x=Rxs-) a. d. {x =R…

A: We can answer the question as below.

Q: What is 6x² dx?

A: We will solve it

Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

A:

Q: F(x, y, z) = -k At (-2,-2, -2) the vector is At (-2,-2, 2) the vector is At (-2, 2, -2) the vector…

A: Given vector field F(x,y,z)=-k Here k is constant

Q: Find the Inverse function of f over the given interval. Describe the relationship between the…

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Q: Consider the following function. f(x) = x¹/⁹ + 5 (a) Find the critical numbers of f. (Enter your…

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Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

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Q: (2x +3y) dx + (y +2) dy = 0

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Q: e) Find the linear approximation of the function f(x, y, z) = x³y² + z² at the point (2, 3, 4) and…

A:

Q: Consider the function on the interval (0, 27). f(x) = 1/2/20 + COS X (a) Find the open intervals on…

A: topic- Relative extrema of a function.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: We need to fill in the blanks.

Q: Зу" +y=0.

A:

Q: (x + y) dx + (3x + 3y - 4) dy = 0

A:

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 40 and P =…

A: Given that    Three positive numbers x,y and z                The sum of these numbers is 40.…

Q: The indicated function y₁(x) is a solution of the given differential equation. 6y"+y'- y = 0; y₁ =…

A:

Q: *T/2 10 cos(0) r dr de

A:

Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Constraint 1. V= 32000 cm³ xyz = 32000 g(x, y, z)=xyz-32000 vg = (y², xz, xy) function SA= xy + 2yz…

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Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

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Q: Consider these three examples: A. S 1dx 1+x² B. f sin²x C.S.sin x dx We want to solve one using a…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Evaluate the iterated integral. 2y 1²1,²% (10 + 8x² + 6y²) dx d 0 ly

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Q: Identify any holes in the graph off(x)= x=-=/ b. x=- x=-- a. 17 X+7 7x +49 C. x=7 d. x=-7

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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: An exponential function f(x) = ab passes through the points (0, 3) and (3, 375). What are the values…

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Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

A:

Q: ow many values of a are there such that lim h→0 (sin ¹(a+h)-sin h ~ ²² (a)) = = 4?

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Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.