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Calculus

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Q: 2 questions in Pre-Calculus

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Q: Find the area cut out of the cylinder x? + 22 = 4 by the cylinder a? + y² = 4. %3D

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Q: Solve the system 3x + 4y = -5, 2x - 3y = 8 by the method of your choice.

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Q: Evaluate the series or state that it diverges. 3k Σ k=2

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Q: Set up spherical only

A: Given ball ρ≤a lies between cones ϕ=π6 and ϕ=π3.

Q: Differentiate x3 + 2x2 + 5x + 9

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Q: Problem 1: Find the first and second derivative of the function 5x f(x) = %3D x + 1

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Q: The integral from 2 to infinity of 6/((x+5)^(3/2))

A: ∫2∞6x+532

Q: Consider the function f(x)=3x3+4x2+14. For what values of k does the Intermediate Value Theorem tell...

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Q: Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 3 u...

A: Given : a=3, b=4 and c=7 Let BP=x . So , PA= 4-x

Q: Use synthetic division to divide the first polynomial by the second.3x4-17x3+13x2-19x+20 x-5Th...

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Q: Given y In(x + Vx + 27 answer the following: a) y' b) Write the question of the tangent line at the ...

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Q: Find dy/dx of y = cos^-1(2x) * sin^-1(2x)

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Q: If f(x)=axe^x, where a is a constant. Find the following.

A: f(x)=axexf'(x)=aex+axexf''(x)=aex+aex+axex=2aex+axexf'''(x)=2aex+aex+axex=3aex+axex

Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The i...

Q: It's not option A

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Q: Suppose that f(x) is a continuous function with f(4)=−10 and f(8)=10. Determine which choice best de...

A: Given that: f(x) is the continuous function, f(4) = -10 and f(8) = 10. The statement: " f(6) = 0 "

Q: please very soon full explanation

A: Given that,xk+1=gxk=9xk+10 , k=0,1,2..................... fx=x3+10x2-9=0 And,

Q: Find the general solution of the differential equation xy + y′ = 100x

A: Given: y'+xy=100x

Q: Calculus Question

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Q: 0.08e" Determine p' (x) when p(x) %3D

A: Given: p(x)=0.08exx To find: p'(x)=? Formula used: ddxuv=u'v-uv'v2 ddxxn= n xn-1 ddxex= ex

Q: 6) Sketch the region whose area is given by the definite integral and use geometric formulas to eval...

A: The integral means the area between y=2x+4 line and x-axis, for 0≤x≤10. Or we can say that the integ...

Q: Please

A: Given equation is, y=-14x2+28x+500 a. Graph of the given equation is From this we get the range of ...

Q: #36)

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Q: Use differential to approximate the change in the volume of a sphere when its radius changes from 2 ...

A: Volume,V=43πr3 Differentiating dV=43π(3)r3-1drdV=43π(3)r2drdV=2πr2dr

Q: Fill in the blank/s: If v = a1i + b1 j and w = a2i + b2 j, then v + w = (___ )i +(__)j , v - w = (__...

A:

Q: differentiate y = sin^3(tet^2) and simplify

A: The given function is y=sin3tet2We have to differentiate with respect to t ddt(y)=ddtsin...

Q: Find the degree 2 Taylor polynomial of f(x) = In(x + 1) %3D at a = 1

A: The Taylor polynomial about 1 of degree 2 is given by: T2(x)=f(1)+f'(1)(x-1)+f"(1)2!(x-1)2

Q: a) Find the center-radius form of the equation of the circle with center (0,0) and radius 7. b) Grap...

A: Givencenter of the circle=(0,0)radius=7

Q: Co x Find dy/dx given that y = sin x

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Q: Between the sine and inverse sine Find the area of the region bounded by the curves y = sin x and y ...

A: The given equation of the curves are: y = sin x and y = sin-1x, and interval is [0, 1/2]

Q: By about how much will ƒ(x, y, z) = ln√(x2 + y2 + z2) change if the point P(x, y, z) moves from P0(3...

A: The given function is, fx,y,z=lnx2+y2+z2 distance ds=0.1 unit in the direction of 3i+6j-2k

Q: A mathematical biologist is created a model to administer medicine reaction with the model given by ...

A: Medicine Reaction, Rm = amount of medicine absorbedc = positive constant Given:R = m2c2-m3 ...