6. Use a triple integral to find the volume of the solid between the plane z = 3 and the paraboloid z = 4-x² - y² in the first octant. Compute the volume and express as an exact value.

Q: Given the function graphed below, find the following: -4 -3 -2 -1 16 5 3 24 423 -2 -3 -4 12

A: DOMAIN -: THE SET OF VALUES OF x WHERE FUNCTION IS DEFINED. RANGE-: THE SET OF VALUES OF f(x)=y WE…

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Q: Compute the volume of the solid bounded by the surfaces x2+y2=17y, z=0 and z=√x2+y².

A: The given problem is to find the volume of the solid bounded by the surfaces x2+y2=17y, z=0 and…

Q: 6. Solve by the problem by the Laplace transform method. + 4x(t) = 4 cos2t; x(0) = 2, x'(0) = 5…

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Q: For the matrix A = form. Bottom row is 3 10 i believe 11 -4 -5 21 -8 -11 find a Jordan canonical…

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Q: PROBLEM #2: Kelso conservation area is currently designing a new hiking trail to complement the…

A: Given : Polynomial function : hx=ax4 + 52x3 - 3x2 - 16x + b   To find : The values of a and b

Q: 0 1 π/4 arctan(2) 2xsec² (y)dydx

A: We solve the double integration.

Q: Part 2 -45 + 7(x + 2) - 6x (no justification needed) = -45+ (7x + 14) - 6x = -45+ (14+ 7x) - 6x =…

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Q: Properties of Functions be funcion Show that f: R → R defined by f(x) = x³ + 1 is bijective. follow

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Q: answer this for me please

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Q: 9. Find the next two numbers in the sequence. Then classify each sequence as linear growth,…

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Q: Find the maximum value of (7 - x) (2 + x)5 when x lies between -2 and 7.

A: f(x)= (7-x)4(2+x)5

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Q: If y - y = 2x, then prove that 2 ence, show that x² - 1\d²y dx² 27 + X. dx² 1 dy dx = (3y² - 1)³

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Q: If a₁, 92, a, are in arithmetic progression, where a > 0 for all i, then show that 1 √a₁ + √a₂ 11 +…

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Q: Using the inverse Laplace transform, we have s+ 14 C-1 s(s+ 2) where Select one: O f(t) = 7-6e-21…

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Q: d) x1 + 2x2 + 2x3 + 5x4 = 11 2x1 + 4х2 + 2x3 + 8x4 = 14 x1 + 3x2 + 4х3 + 8x4 = 19 X1 - X2 + X3 = 2

A: We solve the system of equations.

Q: Question 2 a) Evaluate L{est}. b) Evaluate L {(t− 3)² + sin 7t + cos 8t}

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Q: + tan dy 37 Ify = tan -1 -1 1 2 x +5x+7 1 2 1 2 1 2 x² + x + 1 +... to n term.

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Q: If we use the Method for Variation of Parameters to solve a nonhomogeneous differential equation for…

A: To solve non homogeneous differential equation,  we use method of variation of parameters.

Q: A television campaign is conducted during the football season to promote a well-known brand X…

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Q: is equal to 에는 S + 3s s² + 4 1 + 3 cos 2t }

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Q: Given the transition matrix P and the initial-state matrix So below, find P and use P* to find S4. A…

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Q: Find the solution of the following equations using the Jacobi and Gauss Seidel iteration method…

A: GAUSS SIEDEL METHOD IS AN IMPROVEMENT OVER JACOBI METHOD AND THE PROCESS OF ITERATION IS REPEATED…

Q: 18. An ecologist has received permission to fence in a small rectangular plot of land at a state…

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Q: Two coins are flipped. You win $1 if either 2 heads or 2 tails turn up, and you lose $3 if a head…

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Q: Find the indicated number of elements by referring to the table of enrollments in finite math class.…

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Q: 1² + 1 1-2r sin ¹(t) + x² 2. Find the equation of the tangent line to the graph of F(2) = ₁2 s dt at…

A: Equation of the tangent line to the curves

Q: Consider the following initial-value problem. -1 -2 *'- (-3-²)* +(²). ×(0) - (-3) X' = 4 Find the…

A: We solve the initial value problem.

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Q: Consider the matrices A = 3 -10 26 (= 60-4 0 1 -2 52 1 -4 0 0 4 4 -2 -1 5 1 and 2 Suppose that A is…

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Q: 3. A bookstore has a hardcover copy of a popular spy novel that has a price of $22.95, with a red…

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Q: .1) following transformations: a) x − ¹ {\ c). (s+2) s(s-3) = b) L{^(3-2e-3t)²}= s+5 (S-1)²+9 ? -…

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Q: 1. Determine whether the given set of functions is linearly independent on the interval (-∞,00).…

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Q: If a, b, c are positive real numbers. Then prove that (a + 1)(b + 1) (c + 1)² >77 abct.

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Q: Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z…

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Q: Light bulb lifetime. Find the mean and median for the data in the following table. Interval…

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Q: Answer the following in your own words, using complete English sentences. (a) What is a conservative…

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Q: QUESTION 3 Use polar coordinates to evaluate the double integral [[2ydA. R is the region in the…

A: To Evaluate: ∫∫R2y dA where R is the region bounded above by x2-2x+y2=0and below by the line y=x.

Q: (d) 2x₂ + 4x3 = 8 2x₁ + 2x₂ = 6 x₁ + x₂ + x3 = 5

A: we have to solve the given system of equations using the echelon form        2x2+4x3=82x1+2x2…

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Q: shipment of 40 inexpensive digital watches, including 9 that are defective. is sent to a department…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: em 8.5. Let a 2 100. We have (x) > log loga.

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Q: The solution the differential equation y""-2 y" +1 y'=0 is y=c1(e*)+c2(x)(ex) Select one: O True O…

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Q: A glass sphere given by the equation (x-1)²+(y-2)²+(-3)² = 36 is floating above the plane 2x + y -…

A: The given problem is to find the point on given sphere is farthest from the given plane. Given…

Q: ( › Given 7 = 178/33 -292553/44682 321593/44682 25405/14894 4 -5 53 ال لیا , 5 2 3 -B-0 and -6 7 -36…

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Q: The fourth, seventh, and the last term of a G.P. are 10, 80, respectively. Find the first term and…

A: Geometric progression is in which every term except the first term can be obtained by multiplying…

Q: please sir solve parts  1 and 2, thanks alot sir

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Q: (c) 2 da. (1+x³)2 (d) f In a dx. x1/3

A: