Evaluate: A 3 2(,s–3) (c +C 15 4lnr None

Q: do a number talk, please write out 8-10 strategies that a student would do mentally (no paper or pen...

A: The problem solved by  1. Place value with regrouping  2. Constant and difference. 3. Removal in par...

Q: Write the inverse of h(x) = log6x h -1( x) = 6 x h -1( x) = 6 x h -1( x) = x 6

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Q: Given the function f (x,y) = cos2x - x2 e5y + 3y2, find the partial derivative fxy.

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Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4

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Q: rentiate both sides of the equation with respect to t. dV dh (P) dr +2arh dt dt dt (Type an exact an...

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Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: 11 Which of the following is a factor of 2x3 + x2 - 2x – 1. x + 2 2 x – 1 x – 2 2 x + 1

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Q: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: (г,9) —(0,0)22 — у4 – y4

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Q: - Use integration by parts to show that if f has an inverse with continuous first derivative, then (...

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Q: The graph y = cosx, given the domain -4: has x-intercepts at and 4' 4 4 A 37 and 4 4 4 and 2

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept take y=0

Q: dy x fan x %3D

A: Given: -The equation is dydx=xtan-1xy To find: - The solution of the given equation.

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

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Q: Find the volume of the solid generated by revolving the region under the curve y=: for 0<<1, about t...

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Q: Define a vector-valued function as follows: 7(t) = (cos t, 4, sin t). Which one of the following des...

A: Find your answer below 

Q: A closed box whose length is twice its width is to have a surface area of 192 square inches. Find th...

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Q: Consider the surface defined by f (, y) = ln(5y – 7x). Find the equation of the tangent plane to f(x...

A: (x0 , y0 ) = (2,3) tangent plane formula  f(x,y) = (x-x0 )f'x(x0 , y0 ) + (y-y0 )f'y(x0 , y0 )  here...

Q: nd Solve:- 8: Chassify -3x dy + (3X+リ』 = e ノス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: We have  P(t) =  7000 1 + 24e−kt. Since P(1) = 840, then 1 + 24e−k = ____ , and so ek =

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Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = xo, and then find the nth Taylor ...

A: The taylor series polynomial of f(x) at x=x0 is given by:                        f(x) = ∑r=0∞f(r)(x0...

Q: Problem 13. Let f(x) = 2sirtx) %3D f'(x) =

A: We know that; The Chain rule: fgx'=f'gx·g'x And ddxax=axlnaddxsinx=cosx   Given: fx=2sinx

Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in c...

A: Since you asked multiple questions, we will solve the first question for you. If you need any specif...

Q: Find the function f(x) such that  f ′(x) = f(x)(1 − f(x)) and f(0) = 1/5.

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Q: - Find the following derivatives. d. In(x2 + 1) dx

A: Given query is to find the derivative of the expression.

Q: 1. S xª –1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Use the divergence theorem to find the outward flux of the vector field F(x,y,z) = 5x^2i + 4y^2j + 3...

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Q: Find the local maximum and minimum values and saddle point(s) of the function f(x,y) = x² + xy + y2 ...

A: The given function is: f(x,y)=x2+xy+y2+y Now, to find the stationary points, let fx=0 &amp; fy=0⇒2x+...

Q: Q.4\ The Taylor series for cosh(x) is:

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Q: a) y = cos(e 2x) (e2x) -1

A: Differentiate wrt x

Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then su...

A: NOTE: Refresh your page if you can't see any equations. . mass is m=1 kg the spring constant is k=24...

Q: Find two points where the curve x + 5xy + y = 23 crosses the x-axis. The tangents to the curve at th...

A: The given curve,     x2+5xy+y2=23

Q: This is a two part problem. Compute the flux of the vector field F = 2x^2y^2(k) through the surface ...

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Q: Choose the correct graph by clicking on it. X + 3 f(x) = x2 - 9

A: Question is solved.

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A: Given query is to find the the center and the radius of the sphere.

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1, ) (1.).) Oy= - 2 y= - +1 Oy= Oy...

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Q: (a) If point A(2, 4, 3) is the opposite vertex to the origin, then find the coordinates of the other...

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Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If - increase in 1...

A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y = 5x + 3e-. ...

A: a) find the particular solution of the differential equation  y"+4y'+5y= 5x+3e-x  b) find the genera...

Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below 

Q: What values of a and b maximize the value of ["(x – x²)

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Q: Differentiate the function. g(t) = In(5 + t“) g'(t): %3D

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Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: Compute the flux of the vector field F = 3xzi + 5yk through the surface S, which is the hemisphere x...

A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

Q: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250°

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

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Q: Find: Find lim           X2 + x-5        x - ∞        1 -2x - x3 Thanks

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Q: The two curves below intersect at the origin. Find the angle 0 of intersection at that point. ri (t)...

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