Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is The vector component of v orthogonal to b is ). ).

Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: Q2 : Find d'y /dx? Y = xtan (=)

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Q: Consider the following. f(x, y) 3e% sin(y) Find Vf(x, y). Vf(x, y) = %3D Determine Vf(x, y) at the p...

A: f(x,y)=3ex siny∇f= ∂f∂x i + ∂f∂y j∇f=3sinyddx(ex) i +3exddy(sin y) j∇f(x,y)=(3ex siny, 3excosy)at 0,...

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

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Q: 11. S 8a'da = %3D

A: This is a problem related to integration. Based on the general formula of integration we will solve ...

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: Solve the assigned situation to you and create an appropriate word problem on given values. Show the...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

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Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows 

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

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Q: B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of ...

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: area of the bounded by the y=1+lnx3x

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: I am attaching image so that you understand each and every step.

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)...

A: Slope is already given. And for slope we have to find dy/dx  and then simplify. 

Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) = %3D %3D %3D

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Q: Consider the following. f(x, y) = 2x – 4y (a) Find f(10, 3) and f(10.1, 3.05) and calculate Az. f(10...

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Q: DO NOT include spaces in between characters. * 1 Find f' (-) if f(x) 2 Your answer

A: Solution ) f(x)=1/x2 f(x)=x-2 Differentiate with respect to x  f'(x)=-2x-2-1 [d/dx(xn)=nxn-1 ] f'(x)...

Q: Consider the points A(1, -1, 2), B(2, –3,0), C(-1,-2,0), and D(2,1, –1). (a) Find the volume of the ...

A: Here, the given vectors are: A(1,-1,2), B(2,-3,0), C(-1,-2,0) & D(2,1,-1) (a) Here, AB=(2,-3,0)-...

Q: ln(2y − 25e^x) = sinh4 (πx) − tan(y − 3).  Find dy/dx.

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Q: Test II. Match the definition in column A to the corresponding theories in column B. Column A Column...

A: Find your answer below 

Q: If a region have axes of symmetry at y = x and y = -x then its centroid is at the origin. True O Fal...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 4 + 2y - 16) dy =

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Q: CSC r+ sec x Express in terms of sine and cosine. cot x + tanr

A: We know that  cscx=1sinx  , secx=1cosx  , cotx=cosxsinx  and tanx=sinxcosxSubsituting in cscx+secxco...

Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievan...

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: Find the exact value of the expression. cos(160°) cos(25°) + sin(160°) sin(25°)

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Q: S(*-4)(12: – z') dz

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Q: Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial f...

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Q: Suppose the derivative of the function y = f(x) is y' = (x- 4) (x- 3). At what points, if any, does ...

A: First we find out critical points putting y"=0 then find out 2nd derivative test .

Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: - Evaluate the following integral. |e2* cos3x dx

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Q: 5. The graph of y= h(x) is shown below. The function f(x) is defined by f(x)=--h(x)+3. (a) What thre...

A: Let's find. 

Q: Activity 2: Express y in terms of x in the given equations if it is possible. 1. 2x+y=8

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Q: C. Discuss the continuity of the following functions at/on the given point/interval. 4x 1. (6 points...

A: Continuous 

Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is T...

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: P23.2. The population of Canada, as determined by the Canadian census, was as follows: year 2001 200...

A: t=year 2001 , X starts from 0.   X Y XY X2 Y2   0 30 0 0 900   5 31.6 158 25 998.56   10 33...

Q: Evaluate f ( + 3) dt

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Q: SVEsin(1+ VF )dz 4 Vz sin .3

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Q: a. Use integrals to show that the circumference of the circle z2 + y? = a² is 27a. %3D b. Find the l...

A: Given that equation of circle x2+y2=a2center of circle 0,0  and radius =aSolution :x2+y2=a2y=±a2-x2o...

Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

A: Given P1,4,-2, Q0,0,0 & R4,5,1 To find Area of triangle PQR

Q: x®+7x6+9x5-4x²+2 lim x--00 x6-4x5-3x2-6x+4

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Q: Find the volume of the following solid. The solid above the region R= {(x,y): 0<x<2, 0sy<4-x} and be...

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Q: 12. Find the value of the limit: lim a. +00 b. -00 d. Indeterminate

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Q: For a given number n, to create a mask for trailing zeros, we can use the expression: (n & – n) – 1

A: For a given number n, to create a mask for trailing zeros, we can use the expression: (n &amp; - n) ...

Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE? Prov...

A: Let's find. 

Q: x5 dx (36x2 + 1)7

A: Let I = ∫x536x2+132dx Take x2 = t⇒2dx = dt ⇒I = 12∫t236t+132dt