3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

Q: Evaluate. 20) X +9 -dx X +5

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Q: State whether the following numbers are rational or irrational. a) V4 + 7/2 b) V36 c) V11²510716

A: We have to find if the numbers are rational or irrational.   According to our guidelines we can…

Q: Find the derivative of the function. g(t) = e-2/t g'(t) = Need Help? Read It O Show My Work…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

Q: 1. Budgeting for least cost. A manufacturing company pro- duces two models of an HDTV per week, xr…

A:

Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

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Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

A:

Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

Q: 2х + 3 dx x² + 3x

A:

Q: 1. Logarithmic differentiation. Compute the derivative of each function using logarithmic…

A: Due to bartleby guidelines,we have to solve only 1 question so if you want another answer so please…

Q: Four-bar linkages are one of the simplest family of mechanical linkage systems. Draw diagrams and…

A: Four-bar linkages are one of the simplest family of mechanical linkage systems.

Q: The dimensions ofavectargubr refion are varying with the bimelt accordng -28 Cm/see and wa3t+6…

A: suppose area be represented by AA= L×wA=(2t2-8)(3t+6)A=6t3+12t2-24t-48now differentiating on both…

Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t'i + 2tj + tk,…

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Q: Format View Help File Edit Format View Help Ln 57, Col 1 100% Windows (CRLF) UTF-8 Consider the…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: Let a=ci+ja=ci+j and b=9i+45jb=9i+45j. Find c so that a and b are orthogonal.

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Q: 5. Find y' * xY = y*

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Q: 2x 2x Find the absolute maximum and absolute minimum of the function f(x) = - 1 over the interval…

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Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

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Q: Find a, and r for a geometric sequence {a, from the given information. a, =24 and as=648

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Q: Problem X.4 Suppose the radius of convergence of the power series CnI" is R. What is the radius of…

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Q: one-sided limit (if it exists). 72. lim

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Q: 7x+2x? (x-4)(2x+3)(2x+1)

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Q: Find f. f" (0) = 2e® + 3 sin 0, f(0) = 0, f' (0) = 1 Using O for 0. O f(0)=2e^O -3sin O f(0)=2e^O…

A: Given query is to find the function f(O).

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Differentiate y = e^(10 (x) + x^5) the x in () is meant to be the square root of x the question…

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Q: Find the sum of the series. 2n n-D0 03 01 06

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Q: Write the first five terms of a geometric sequence a} based on the given information about the…

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Q: Find the area enclosed by the x-axis and the curve y=1tet v=t-t2. (Show all work separately and…

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Q: 43. fry(x, y) if = e"* f(x. y) en?

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Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

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Q: v = 8i – 5j – 4k - w = -5i + 9j – 4k Compute the dot product v w.

A: The formula for dot product of two vector a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ is given by the…

Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: /| J. Let J = xy dA where D is 2 %3D D the region bounded by the x-axis, .3 y = x' and x = 2

A: Intersection points:y=x3, x=2, y=00=x3(0, 0)y=23 =8(2, 8)

Q: Solve the initial value problem. - + 4y = 7, y(0) = 1 dt The solution is y = O

A: Given query is to find the solution of the differential equation.

Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

Q: 6) dx

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &amp;  y2=2x+15

Q: Find the limiting values of 3x2 + 5x - 4 (i) as x → 00 5x? - x + 7

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: 4. Find y' * 2 (x – y)² = sin x + sin y

A:

Q: Find the Maclaunin polynomial of degree 3 for the fuction. - ge

A: The given function is:fx=e-9xTo find the Maclaurin polynomial.

Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

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Q: Is) Determine the minimal number of terms requined to epproscimete fue fum of tue series with an…

A: Using the alternating series reminder theoram to find the number of terms.

Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: Given problem:- Use the First Derivative Test to find the location of all local extrema for the…

Q: Solve the system of linear equations and check any solution algebraically. 5x - 3y + 2z = 3 2x + 4y…

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Q: You will create an estimate in order to assist your boss in gaining the job! The equation that is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.