4x+3 4.r(x)=x²+4

Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax + By + Cz = D.…

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Q: A tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture…

A: Given data :-  Capacity of tank = 300 liters Rate of mixture poured into tank =4 L/min Rate of…

Q: mswer below: f(x) = f(x) = (x) = -2 68 5 4 3 2 10 1 0 1 -2 -3 -4 -5 6 -7 2 -00 4 6

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Q: A teenager is selecting which options they would like for their ice cream treat from the list below.…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x² + 9 (a) Find…

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Q: Find the relative extreme values of p(x) = 20 5 - 3x3

A: Here we have to find the relative extreme values.

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: Find the linear approximation to the equation f(x, y) = 4 ln(x¹ −y) at the point (3,80,0), and use…

A: Linear approximation

Q: 2. The subspace in R3 is a plane whose equation is x+y+z=0 x-2=0 x-2y+z=0 (a) (b) 2-0 (c) y-2--0…

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Q: If 1 x+y True False = 1+ y, then dy || 1

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Q: There are only seven seats in a van. One of the seats is modified to fit only a baby and one is the…

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Q: (A) ftan (5x)dx dx √9-4x² (C) [sin 6x cos7x dx

A: According to new guidelines if a question contains more than 3 subparts we have to solve only 3…

Q: Problem 8. A function and its first and second derivative are given 2(2x + 11) f(x) = x² - 4 (x +…

A: As per guidelines, I can answer maximum three sub parts of a question. Here are four sub parts, so I…

Q: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

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Q: f(x,y)= exsin (y), fx(x,y)

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Q: A group of 4 journalists is to be chosen to cover a murder trial. There are 4 television…

A: Let's find number of groups can be formed.

Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: 15 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: f(z)dz = area J₁b =…

A: This question is based on application of integration.

Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: Below is the graph of y=3√x. Translate it to make it the graph of y=3√x-2+4. of x 5

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Q: Given the equation z = arctan(x- y²) with the change of variables x=s³-t³ and y=st² + s²t, use the…

A: The objective of the question is determine the partial derivative of the given function at given…

Q: Suppose that f(x, y) = √√4² - x² - y² on the domain D = =4 Q Then the double integral of f(x, y)…

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Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: Solve: x^2dy - y(x+y)dx = 0 O x+y=Ce^(-y) y Ixl=Cx^2 x=Ce^(-x/y) O x lxl = Cy^2 Oy=Ce^(-xy) O y…

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Q: If f(x) = -1/2 then f(³)(x) = , A O 2 2:3 O O 6 2 ການ 6 x4

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: ху 2x — 9 = 0; x = -3 =

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Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

A:

Q: 4. Let (x) - 6x² + 13x+7 3x + 2 What is the equation of the oblique asymptote of f(x)? From what…

A: Solution

Q: Find the rule that describes the piecewise-defined function. (Type an exact answer, using radicals…

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Q: 6. Assume that a 3 x 3 matrix A has three eigenvalues A₁, A2 and A3. If A₁ = A₂ = 2, A3 = 6 and the…

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Q: 440 All boxes with a square base, an open top, and a volume of 110 ft3 have a surface area given by…

A: Given problem:- All boxes with a square base, an open top, and a volume of 110ft3 have a surface…

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+: 16

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Q: Find the particular solution of the given ODE.* ( y − √√x² + y²) dx − xdy = 0 when z = - √(x² + y²)…

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Q: 8. The polynomials x - 1, (x - 1)2, and (x - 1)³ span R3[r]. 9. If S and T are finite spanning sets…

A: Given

Q: Determine the maximum and minimum value of the function f(x) = 3x3* - 1. O No max and min of -2 No…

A: This question can be solved using the concept of maxima and minima.

Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Use the gradient of function for finding the directional derivative.

Q: Determine the equation of the line that is tangent to y = 2 tan x, where x = 4. O-4x + y - (2-) = 0…

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Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(x) =tan(√x)…

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Q: Find an equation for the plane through P(1,4, 4) that contains the line of intersection of the…

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Q: Indeterminate Form 4 7. lim 2 1–cosx x-0 4 1 8. lim x-2x²-4 x-2 9. limsin 3xcot 2x 10. limx²e 11.…

A: We have to determine the indeterminate forms.

Q: C 5 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: J. f(x) dx = area…

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Q: Find the area of the region enclosed by the following functions. a) x=y²-3 and x=y+1. (-1,-2) 1…

A: Consider

Q: The half-life of chemical substance is approximately 9 years. Initially there is 80 grams of the…

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Q: Q4/ Using the Taylor series method to solve: dy = y cos(x), Where y(0) = 1. dx

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Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Solution

Q: Determine whether the series converges. Σk³ e-k4 k=1 The series >

A: