Find an equation of a sphere if one of its diameters has endpoints (1, 5, 5) and (3, 7, 9).

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Q: 1. Find an equation of the plane through the given points and parallel to the lines or lines given.…

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Q: 2. Define functions sinh(x) and cosh(x) as follows: sinh(r) = = e-e 2 e² + ex and cosh(): = 2 These…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

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Q: Differentiate the following functions requiring use of General POwer Rule, (Any value that is not…

A: 2)3)  4)Given equation, y=[x2+x4x+3​]−71​Can be simpliied as y=74x+3​7x2+x​​5)6)

Q: In a certain city, the cost of a taxi ride is.computed as follows. There is a fixed charge of $2.75…

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Q: Please review and solve the following problem. The screenshot listed already has some work done and…

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Q: = 1. Estimate Af using the Linear calculator to compute the error. Let f(x)=√√3+x, a = 1, and Ax…

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Q: Find the equations. and perpendicular to numbers 2,-3, 1. of any line through P. ( 2, -1,=) any ne…

A: 1. The equation of the plane passing through point (2,−1,5) having…

Q: this is grade 12 calculus use proper methods. write it on paper pls neatly

A: Step 1: Given vector equation of line is r=(0,−5,2)+s(1,1,−2)=b+sd(say),s∈R Step 2: we have to find…

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Q: CALCULATOR 35) Using the graph of the function f(x)=x-3x+2x-x-4, answer the following questions.…

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Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: 9.21. Question. A function u(x, y) is said to be a harmonic function if Uxx + Uyy = 0. (a) Show if u…

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Q: An airplane flies horizontally from east to west at 262 miles per hour relative to the air.  It…

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Q: this is calculus use proper methods. write it on paper neatly

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Q: 12:23 < Back Pulse 15) Find the derivative of y with respect to x, IMPLICITLY: sin(x + y) + y = x²…

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Q: find the scalar equations of two planes which intersect along r=(3,2,-1) +t(1,-2,1). possible…

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Q: Calculus I May I please have the solution for the following question? Thank you

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Q: The standard deviation is 324 with a mean of 1379 points. If 316 is sampled, what is the…

A: Given:standard deviation σ = 324mean µ = 1379sample size n = 316 Let X̄ represent the sample…

Q: Given X=65.2, μ=62.7, and σ=3.8, indicate on the curve where the given X value would be.

A: The problem is asking us to find the position of a given value (X) on a normal distribution curve.…

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Q: Consider the following. 5x, X ≤ 4 f(x) lx², X > 4 Find the indicated limits of f(x), and determine…

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Q: (a) What does the equation x = 6 represent in R²? O a plane O a circle a point O a line What does it…

A: (a) x= 6 in R2 is a line      x is constant, this is a vertical line       x = 3 in R3 is a plane…

Q: I need help with this problem and an explanation for the solution described below ( Calculus of…

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Q: Form a polynomial whose zeros and degree are given. Zeros: 2, multiplicity 1; 4, multiplicity 2;…

A: Using the form:P(x)=a(x−z1​)m1​(x−z2​)m2​(x−z3​)m3​...wherea = leading coefficient = 1z1, z2, z3...…

Q: Grade 12 Calculus

A: Step 1:To prove the statement, take a rhombus ABCD,The diagonals of the rhombus cut each other atO.…

Q: this fact to prove a [3] Show that √ f(x)dx = √(f(a-x) dx. Use continuous function the interval…

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Q: Find the first term and the common difference of the arithmetic sequence in which 4 11 a₁+a₁₁ = 32…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

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Q: Use differentiation rules to find the derivative of the function. y = 元 y = sin(e) 8

A: y=8π​sin(θ) To find the derivative of the above function, differentiate with respect to θ,…

Q: 3. Consider the vector field F(x, y) = (3y²+ 4x, 5y sin(x)). (a) Calculate curl F at the point (0,…

A: The curl of a vector field F = (P, Q) in two dimensions is given by the formula:∇×F=∂Q/∂x-∂P/∂yHere,…

Q: B dx x³dy, where C is the boundary of the region between the circles a² + y² = 16 and Evaluate C x²…

A: To evaluate the line integral (∫C​y3dx−x3dy), where (C) is the boundary of the region between the…

Q: 6 3 2 -2 -3 -5 6 -6 The graph above shows the base of an object. Compute the exact value of the…

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Q: The variance is 249,001 with a mean of 1482 points.   If 323 are sampled, what is the probability…

A: The given values are:Variance (σ²) = 249,001Mean (μ) = 1482Sample size (n) = 323Sample mean (x̄) =…

Q: anika buy a apir od shorts for 8.58  and several pair of socks for  4.29 she spend 25.74 how much…

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Q: step by step calculations please

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Q: 4. Submit answer Practice similar Find the linearization L(x) of y = e In(x) at a = 1. L(x) = ;…

A: Linearization of a function is expressed through this equation,L(x)=f(a)+f′(a)(x−a) Given the…

Q: find a solution to the power series y"(x^2-1)+6xy' + 4y = 0

A: Step 1 :  Consider the second order homogenuous linear differential equation : y''(x2-1) + 6xy' +…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Find the sum of the series. 8 n = 0 8" 9"n!

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Q: Answer the questions in detalied steps and show work. (1 and 2)

A: Step 1:Step 2: