Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k 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 tobis ).

Q: A +B + C +スt X (x+D (x+1)" (x+2)

A: Using partial decomposition method

Q: 3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. ...

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Q: The graph of the following function has two slant asymptotes. y = v 25 + 16x2 Find the equation of e...

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Q: Find the following. a. da Pro b. da le 4] = %3D C. dr (5e 02] = %3D

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Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: O g(x)= ( % x + %) X so at the point X, =O. x >0 9メ- x

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Q: Let a = ci + jand b = 20i + 21j. Find c so that the angle between a and bis Round your answers to fo...

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Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use symboli...

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Q: Solve the following initial value problem. y"-2y'+ 2y 7x +4; y(0) = 3, y'(0) =0 The solution is y(x)...

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Q: Tim Vaxi+ x

A: We have to evaluate  limx→-3 2x4+x2.

Q: The spread of a virus can be modeled by the following function where N is the number of people infec...

A: Given query is to find when will spreading be maximum.

Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2 a...

A: We need to calculate the volume.

Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

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Q: Fg(x) = 1 Vx-1

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Q: Perce Mandtactring delemines that the daily revenue, in dolars, trom the sale of x lewn chairs is Ri...

A: According to new guideline if a question contain more than 3 subparts then we have to solve only 3 s...

Q: Let f(x)= (2x-3)/(x-3). Find the interval(s) where f(x) is concave up, and the interval(s) where f(x...

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Q: - Trigonometric Integrals S cos 3x cos 5x dx

A: Solved below

Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

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Q: 1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show...

A: Here, the given function is: f(x)=[ln(x+1)] cosh x+tan x, x≥0(sinh x)sec-1(x-2).       x&lt;0

Q: For the demand function q = D(p) = 323 - p, find the following. a) The elasticity b) The elasticity ...

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Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 – tan(x/15...

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Q: E. The lateral area right circular cone a is radius r and he ight h guien by A=TrvrZ+h? • at the The...

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Q: find the inflection points of f(x) = (x-2)4/3

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Q: i-125 + 2i213 + 3i-314 5i97 – 4i85

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Q: A telephone line hangs betweenn two poles at 12 m apart. In the shape of the catenary y = 50 cosh -4...

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Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

A: Solution:Given geometrical series1+3+9+27+81+ ......1+3+32+33+34+.....∑3nn=0∞

Q: Find a particular solution y, of the differential equation: 2y" + 4y' + 7y = x2

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Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given b...

A: Given problem:- Find the point of intersection of the line through (1,-3, 1) and (3,-12, 6), and the...

Q: Pollution levels in a lake have been modeled by the equation x = 0.09 + 0.16e-0.38t where x is the v...

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Q: Let y = 5x² + 5x + 3. Find the differential dy when x = 1 and dx = 0.1 %D %3D Find the differential ...

A: Topic = Derivative

Q: ind f−1(x) for f(x)=9+12x.   Enter the exact answer. Enclose numerators and denominators in paren...

A: Given that fx=9+12xTo find : f-1xSolution :if we find inverse of function of y= fx then interchange ...

Q: Discuss the continuity of the function h(x) = }" (x2 + 7х -5, x3 – 2x2 + 1, x < 3 x 2 3 on the inter...

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Q: In the question that follows, the "units digit" of a number is the last digit in decimal representat...

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Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c. ...

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Q: s.cloud/modules/unproctored les A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find...

A: A bicycle with 20 inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume c = 9, a = 1.15, b = 2...

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Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2...

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Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: -3x Evaluate (x" x" +T) dx Answer: Submit Answer

A: Given: I=∫xπ+π3xdx   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+...

Q: + x° rp („z +

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Q: 24 xp-

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Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

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Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

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Q: 3 Let f be a function with third derivative f (x) = (4x + 1) 7. What is the coefficient of (x – 2)* ...

A: Explanation of the answer is as follows

Q: Using the second derivative test, determine the relative extrema of the function f(x)=1/3x3-2x2-5x

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Q: 25. If n + 0, then cot x csc" x dx = - cot" x А. - csc" x В. cscn+1x +C +C - cotn+1 x D. +C С. n +C ...

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