09/12/21

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
5x3 + 20x2 + 32x − 1 (x2 + 4x + 5)2  dx
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09/11/21

What is the path ?
A drop of water falls onto a football and rolls down , following the path of steepest descent ; that is moves in the direction tangent to the football most nearly vertically downward.Find the path... more
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09/04/21

Related Rates Question (Urgent)
Experimentation shows that when air expands adiabatically (without losing or gaining heat), the volume V in cubic centimeters and the pressure P in kilopascals (kPa) are related by the eqationPV^k... more
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09/03/21

Can anyone help me with this question?
Sketch the graph of the limacon r = 3 – 2 cosθ and the circle r = 2. Shade the region that is inside of thelimacon and outside of the circle. Find the area of the shaded region.
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09/02/21

differential equation, Math help
Find the general solution of the equation by the power series method.y''-2xy'-2y=x
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08/31/21

Prove or disprove for all sets A, B and C that (A − B) − C = (A − C) − B
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08/27/21

Transformations. Use a sequence of transformations, starting from the reciprocal function y=1/x to graph the rational function
Transformations. Use a sequence of transformations, starting from the reciprocal function y=1/x to graph the rational functionr(x) = 4x+3/2x+1 Show each graph in the sequence and describe each... more
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08/25/21

Vectors and the Geometry of Space
You are looking down at a map. A vector u with |u| = 10 points north and a vector v with |v| = 6 points northeast. The crossproduct u×v points:The magnitude |u×v| =
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08/25/21

Algebra 2 practice

The sum of the angles in a triangle is 180 .in triangle abc if c is equal to the sum of the other angles and b is equal to 5a-c what are the measures of the angles a b c
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08/24/21

Find first 4 non zero terms of Power series representation

The first 4 nonzero terms of the power series representation for f(x) = 1/(1+x)3 a. 1-3x+6x² - 6x³ b. 1-3x + 3x² - x³C. Noned 1-3x + 4x² - 8x³e. 1-3x + 12x² - 60x³
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08/23/21

Please provide detailed explanation of a and b
4. (a) Given that, the displacement vector of a particle is r(t) = (3 sec (5t) + t³)i + (4 csc(5t) + t²)j + (5 cot 3t+t4)k, at time t = 0.5 find the magnitude of displacement, speed and the... more
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08/23/21

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 27x3,    y = 0,    x = 1;    about x = 2
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08/23/21

Find a vector v such that ||v||=5 and v is in the same direction as i+4j .
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08/22/21

Five more orders....
Write five other iterated integrals that are equal to the given iterated integral∫04 ∫y8-y ∫0√(4-y) ƒ(x ,y, z) d x d z d y
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08/22/21

mathematics for economists 1

Find the tangent line to the curve at the given point: y+3x2y5= 4x+3 at (0,3)
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08/22/21

Geometry question
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08/22/21

The " Kissing " Circle A.K.A the Osculating Circle , ANNOTATED

Find the parametric equations of the osculating circle to the curve resulting as the intersection of the plane that the vector valued function r(t) = < cost , sint, sint > lies and the ... more
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08/20/21

In triangle ABC the bisector of ∠BAC meets BC at D. The point E is chosen on AC so that DE is parallel to AB. The point F is chosen on AB so that DF is parallel to AC. Show that (AB)^2/(AC)^2 = BF/CE
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08/19/21

sum and integral
Rn= 1/n ∑^n and i=1 underneath  [7(4+i(1/n))^5  −6(4+i(1/n))^4]express the limit as n-->oo as a definite integral, that is provide a,b and f(x) in the expression ∫^b and a underneath f(x)dxa=. ... more
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08/19/21

Math word problem
 small radio transmitter broadcasts in a 54 mile radius. If you drive along a straight line from a city 74 miles north of the transmitter to a second city 70 miles east of the transmitter, during... more
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08/19/21

Solve the following using the parametric equations

Consider the parametric curve over the interval [0, pi/3]:𝑥 = 4cos^2(2𝑡)𝑦 = cot^2(3𝑡) + 1a. Set up and simplify an integral describing the area under the curve from (0, 2) to (3, 2)b. Set up and... more
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08/18/21

Draw the level curves
Draw the level curvesZ=x^2-y^2
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08/18/21

Find the coordinates of the point 3/10 of the way from A to B.
Find the coordinates of the point 3/10 of the way from A to B.
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08/18/21

Represent graphically the set of values of z for which |z−1|^2+|z−3|^2=4
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08/18/21

Urgent Math Question, please show work
Let f(x) = x^3-5x^2+x-7. Find a function g such that (f o g)(x) = 27x^3 + 90x^2+78x-2. Show your work
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