Find the distance from the point to the line. P(1,9,9); x = 1+8t, y = 9 + 5t, z = 9 The distance is units. (Simplify your answer.)

Q: Can u solve all? Its easy for u

A: We need to solve algebra.

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ(x, y)=2x² + y² subject to the…

A: fx, y=2x2+y2subject to the constraint x2+y2=1

Q: Consider the following vector function. r(t) = (4 sin(t), t, 4 cos(t)) (a) Find the unit tangent and…

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Q: Given u = a. 27 + 47 b. u c. u x d. lul V V [-4,4, 4] and = - [-5,6, 2] find

A: Addition of two vector formula and product rules

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: Consider polar curves C1: r = 3+2sine and C2: r = 8sin0 1. Find the Cartesian equation of the…

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Q: Find an explicit solution of the given initial-value problem. x2dy dx =y-xy, y(-1) = -4 y =

A:

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: The percent p of prescriptions filled with generic drugs at a large pharmacy chain from 2008 through…

A:

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) =…

A: we have given velocity function v(t)=5t-9

Q: Second derivative of f(x) =2^x/x

A: To find the second derivative of the following function. fx=2xx

Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: Calculate the linear combination. (Give an exact answer.) X = y = 6(4j+2k) - 4(2i + 7k) = (x, y, z)…

A: The vector is given by 64j+2k-42i+7k = x, y, z To determine: The values of x, y, and z.

Q: Recall the Chain Rule and how it can be applied to find the derivative of a composite function. In…

A: For each of the following functions, by using chain rule to find the  function's derivative. (i)…

Q: ƒ(x) = x + 1 X

A: fx=x+1x

Q: Use the chain rule to find dz dt 11 dz dt = √t, y = ²/2 t z = sin(x) cos(y), x =

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Q: Use the equation to find dy dx }} dy dx dy dx ƏF ƏF ду = F X F y 7y cos(x) = x2 + y2

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Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: Given functions are, y=x4 & y=x4 about y-axis

Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: Suppose you deposit $10,000 into a savings account that earns 3.5% interest compounded quarterly.…

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Q: What is the largest number that uses each of the seven Roman numerals exactly once?

A: To find the largest number that uses each of the seven Roman numerals exactly once.

Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.) 1 [x²² dx =…

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Q: Find the first partial derivatives of the function. f(x, y) = x³ + 6xy7 fx(x, y) fy(x, y) 11

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Q: If f (x) = √x² - 6x +10, then what is the derivative of f at x=3 ? Round to the nearest tenth.

A: If fx=x4-6x+10, then to find the derivative of fx at x=3.

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: I. Find the given vector. 1. e, where v = (4, -2, -1). 2. Unit vector in the direction opposite to v…

A: 1. v=4,-2,-1 2. v=-4,4,2

Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(3,1,0), C(0,…

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Q: 7. Given = [-4,4,4] and ✓ = [-5,6, 2] find a. 2ū + 4v b. c. u x d. lul V V

A:

Q: L (4 + √36-x²) dx

A: Evaluate the definite integral  We know that the formula int_a^b f(x) dx=int_b^a f(x) dx

Q: Find the given vector. 1. e, where v = (4, -2, -1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the scalar equation of the plane that contains a(7,1,3), b(-3,4,0) and c(1,-1,2).

A: We have, Points:- A(7, 1, 3) B(-3, 4, 0) C(1, -1, 2)

Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: 1 The equation of the line that goes through the point (7, 9) and has slope can be written in the…

A: The equation of a straight line passing through the point x1,y1 and having slope m is given by…

Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x).

A: Since you posted multiple questions, I need to solve only first question.

Q: 20. Which statement represents the relationship between P = {9, 11, 13, 15, 17) and Q = (2, 4, 6, 8,…

A: As per guidelines we are supposed to answer first question only please repost the Other question.

Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Find the maximum and minimum values of the function f(x, y) = xy subject to g(x, y) = x² + xy + y² =…

A: Objective function fx,y=xyConstraint function gx,y=x2+xy+y2-108

Q: -4x - 4, f(x) ) = { x ² + 2x - ²1₁ 1, x < -1 x ≥ −1

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Q: Evaluate the integral. 6 (x + 1)(x² + 16) 6 (x + 1)(x² +16) dx -dx=

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Q: Evaluate the integral. 5 [' f(x) dx where F(x) = {55-x² if -5 ≤ x ≤ 0 25x² if 0<x< 5

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Q: 1 (a - b) In K2 = | (a − x) (b - x) After solving this expression we get, 1 t(a - b) 31 = K₂ ti t]…

A:

Q: Question 9 Identify where the mathematical mistake was made when rewriting the expression. 4 (1)…

A: Let P=logax4y5z2

Q: D is the region enclosed by the parabolas = 2 -2 2 = y² - 1 and 2 = x = y² + 1.

A:

Q: Use a calculator to find the acute angle between the planes given below x+2y + 2z = 8, x-y-3z=5 The…

A: x+2y+2z=8x-y-3z=5