Find an equation of the plane containing the points A = (1,0,2), B= (– 1,1,2),C=(5,0,3).

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A: We have to find derivative

Q: Consider the following differential equation. (25 - y?)y' = x2 x2 Let f(x, y) Find the derivative of...

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thou...

A: Given query is to find the solution of the expression.

Q: Qu 1 Using the separation of variable method, solve the following differential equations in a). and ...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Use the formula for the binomial series: m(m-1)---(m-k+1),k + m(m-1) (1 + x)" = 1+ mx + + %3D ... 2!...

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Q: Sond equation of tongend e to graph o Suneten at given pt aNc cos X

A: Topic = Function

Q: please do both

A: We have to find out the reason

Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral: S...

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about z = x0 and then find the nth Taylo...

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Q: F(x) = (-1)". n3n n=1

A: Given series ∑n=1∞(-1)nxnn3n

Q: Numeracy 2. A function of n variables f(x), where x (I1.....In), is said to be homogeneous of degree...

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Q: • The domain of h is [-3, 3]. h" (x) 0 on -3 < a < -1 or 1 < <3 • There is a local maximum point at...

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Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: anti to determine if the sequence ne " is strictly increasing or strictly decreasing. an Use the rat...

A: Given an= ne-n We have to find whether sequence is increasing or decreasing.

Q: # m Find Ay and f'(x)Ax. 2. For y f(x)=. x = -1.6, and Ax = 0.1 at x = -16 and Ax = 0.1 (Do not roun...

A: We will find the values of each. 

Q: Consider the series. 8 8 + 3 8 8 + .. 34 32 33 This can be written as a geometric series in the form...

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Q: dx xvx*-4

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Q: Find Ay and f'(x)Ax. For y = f(x) = X = - 1.6, and Ax = 0.1

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: d) -1nen+2ne2n+ne) e2n+1en+2

Q: + - Consider (x. Using u-substitution and transformation of integrand, then the power formula applie...

A: Here we have to find values of  K,n from the integral after U substitution as shown below

Q: 1 Use the Integral Test to determine whether the scries is convergent or V3k + 5 k=1 divergent. Reme...

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Q: Find dy when X= 4 and dx = 0.2. y 3x-4x + 2x+ 3x -7 y%3Dx

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Q: Now that we know how to introduce the "-R" term into our matrix and we know how to find determinants...

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Q: Jsing u-substitution, the integral f(x)dx reduces to a new integral J glu) du. If g(u) = u+1 ', eval...

A: Given that gu=u+1u∫gudu=∫u+1udusolution:let, u+1=xdu=dx∫xx-1dx∫x-1+1x-1dx∫1+1x-1dx

Q: Assume the nth partial sum of a series a, is given by the following: n = 1 9n - 4 Sn 2n + 4 (a) Find...

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Q: Look for the volume of the solid generated by the Solid of Revolution revolving region bounded by th...

A: Let's find. 

Q: The solution to the initial-value problem 4y' = -8y, y(0) = -2 %3D is y = -2e-2x Select one: O True ...

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Q: A rectangular plot of farmland will be bounded on one side by dimensions? river and on the other thr...

A:  We need to find area and dimensions.

Q: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain afte...

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Q: . Find two positive integers such that the sum of the first number and four times the second number ...

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Q: .3 T || f(r, e) r de dr Jo 0.

A: Solved below

Q: Which of the following statements) is always true for a function f(r)? Explain your reasoning with w...

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Q: Consider the improper integral dx . What is the appropriate solution and answer x2 + 2x +2 A lim Arc...

A: We can solve given problem as follows

Q: A certain lottery has 32 numbers. In how many different ways can 4 of the numbers be selected? (Assu...

A: Question : A certain lottery has 32 number in how many ways can 4 numbers be selected? .

Q: Find the Taylor polynomials of orders n= 0, 1,2, 3 , and 4 about =20 and then find the nth Taylor po...

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Q: What point on the function y = sqrt(x + 3) is the closest to (2, 0)

A: We have to find closest to the given curve from (2, 0).

Q: 1) exist. Show your work and carefully explain your reasoning in complete Find the limit of the foll...

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Q: (a) List all possible rational zeros of P. (b) Find the complete factorization of P. (c) Find the ze...

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Q: MY NOTES ASIK YOUR TEACHER Consider the following differential equation. (x y?)y - y2 Let (x, y) FIn...

A: Given    x2+y2y'=y2 We have to find ∂f∂y and region of XY plane

Q: f(x) cot(x) sin(x) f'(x) =|| Need Help? Read It Watch It

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Q: c) (ахb) (схӑ)

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Q: Write the first five terms of the sequence, give the exact answer: +oo n+23 n=1 Determine whether th...

A: To write the first five terms of the sequence and to give the exact answer.nn+23n=1+∞To determine wh...

Q: een integrals within a region of th ne line integral of its boundary, m fically we have: be a simple...

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Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: (iii) What quantity q maximizes revenue? What is the maximum revenue?

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Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Q: n i Evaluate lim ze/n², i=1

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Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the finit...

A: Area under the curve =∫ab(upper curve -lower curve)dx