Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Independent

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Q: Find the interval of convergence of the power series: E (x- 3)"-1 (-1)" 72 a) (-1, 1] b) [2, 4] c)…

A: Use ratio test for checking the convergence

Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

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Q: A company produces a special new type of TV. The company has fixed costs of $486,000, and it costs…

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Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

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Q: Find the distance from the point (0, -1, -2) to the plane - 4y – 4z = 5.

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Q: (D* – 1) y = 0 O y = cje* + cze* + c3 cos x + c4 sin x O y = cje* + czxe* + C3x? cosx + C4x³ sin x

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Q: you have two results for p= technically which one is the correct reference?

A: We have to find the value of p.

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Q: (6.) Let u (1,3,-2) and v (0, 2, 2). %3D (а. Determine compyu the scalar projection ofu onto v. (b.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Differentiate each function. Simplify as much as possible and express all answers using positive…

A: As per bartleby guidelines we only give first three question answers.  Let's find all…

Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

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Q: Suppose x? + y + z² = 1 and z = g(x, y) > 0. Determine g Su (글, 글). 1 1 2

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Q: Consider the R 2 − R function defined by f(x, y) = 3x + 2y. Prove from first principles that lim…

A: Given function F(x,y)=3x+2y Take path  Y=-x  X→1 then y→-1 Then function F(x)= 3x-2x=x

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

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Q: 5. Find the amount due on P 40, 000 in 4 years and 4 moths a. 10 % % converted semi-annually b. 11%…

A: We have to find the final amount.

Q: Use logarithmic differentiation to find dy/dx. y = (6 + x)x, x > 0 dy dx

A: This question is based on product rule diffrentiation and log properties.

Q: y = 2', y= 3z, about the line x = 3 can be computed using the method of washers via an integral V =…

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Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

Q: Evaluate the integral. 3x In x' хр

A: Integration need to be done after proper simplification of the term.

Q: TQ two values of x such that 2x 1. 12x x+41 .a x-1/3 ,x=1 .b x=2, x=-2 .c x-3, x=-3 .d X=-1, x=1

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Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: We have to find radius of semicircle and height of rectangle.

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

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Q: In solving Time Rates Problem, it is important to substitute the given values only 13 after…

A: Given data: y= (1-x^3)^(1/2)

Q: Father of Calculus Isaac Newton and Gottfried Wilhelm Leibniz Hipparchus of Nicaea Antoine Lavoisier…

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Q: Locate the points of inflection of the curve 4 ƒ (x) = x²e* -2+ V3 2+ V3 Option 1 Option 2 -2+ v2…

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Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

Q: f(x) = 2x2 +1

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Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…

Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: s+1 1. F(s) = 2.F(s) = s4+s2 2 (s +2)'+n?n²

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Q: (b) y when y=3 cos

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Q: Find the radius of convergence and interval of convergence of the series. (Enter your answer as an…

A: Let's calculate radius of convergence and interval of convergence of the given series.

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x²ym) +…

A: To find out the nth derivative of the function.

Q: 5. S 7x°csc²3x7 dx du = answer:

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Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

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Q: QUESTION 6 Determine the unique solution of the following differential equation by using Laplace…

A: Let's solve given diffrential equation by using laplace transform method.

Q: What is the difference between "countably infinite" and "uncountably infinite"?

A: We have to write the difference

Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C).

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Q: Differentiate with respect to x y = e" cos(x²) e* (cos(x*) – 2x sin(x²)) e* cos(x²) – 2x sin(x²)…

A: y =excos(x2) dy/dx = excos(x2) -2xexsin(x2)           =ex(cos(x2) -2xsin(x2)) option 2 is right…

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³

A: Given function: fx=3x4-4x3

Q: The volume, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is 100n 100/9…

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Q: Consider the function. f(x) = x? - 2 (a) Find the inverse function of f.

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Q: Find all the second order partial derivatives of g(x,y) = x°y + 5 sin (y) + 4y cos (x). 20x°y - 4y…

A: Given query is to find indicated partial derivative.

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Let's find rate of the increasing the  volume.