Q1. Fill in the blanks with a suitable mathematical expression. a) The function f (x) = sin(2x) is periodic with period %3D

Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1 limx...

Q: V1+x² -dx

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Q: 1. dx+ e*dy=0 5. x(1- y)dx+(x² -2)dy= 0 5. sin2xdx+4ycos² 2xdy=0 dy_ xy+3x-y-3 dx xy-2x+4y-8 . (4y+ ...

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Q: Evaluate the integral, if it exists: lim sinx dx r→+z -r

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Q: t Determine f'(1) if ƒ (t) = log10 %3D t+1

A: Given: - The function is, f(t)=log10tt+1 To determine: - The solution of f'(1).

Q: Solve the differential equation (y4 - 2xy) dx + 3 x2dy = 0. If y = 1 when x = 2, determine the pri...

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Q: Using Reciprocal Substitution * For S Option 1 Option 2 - (1 - 4t) + c

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Q: Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the follow...

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Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1 (...

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Q: MAXIMA and MINIMA Problems Solve the following problems below. 1. A function is given below, what x ...

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Q: dy dr 2° y0- 13 is Find using implicit differentiation, for the equation - O O O O

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Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic cen...

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc  

Q: dx 2. Algebraic Substiution

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Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to ts'...

Q: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: In an isosceles right triangle ABC, with the right angle at C, the length of a leg is 20 inches. Per...

A: Given that:  C is the right triangle.  The triangle is isosceles.  Legs AC=BC=20.   Since it is an i...

Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is dx x2 y? x2 x2 No OO O

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Q: find the approyimate Valueof 10/2

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Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

Q: fcac) fCre)ニ2x+5

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Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a...

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Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

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Q: Let lim an = a and lim b, = b. Therefore n-00 n-00 an a iii) lim b + 0. b n-00 I|

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved a...

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Q: By completing the square, dx the integral S equals: 2x2+8x+10 tan-1(x + 2) + C : tan-1(x – 2) + C th...

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Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

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Q: If f(x) = f (x) „sin(x) e Then f'(0) = ?

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Q: 1. ADEF = AJKL Solve for the value of y Sy 150 D.

A: Congruency of triangle 

Q: x²–1 For S dx,x

A: Given,             ∫x2-1xdx

Q: Show that lim Vn = 1. n-00

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Q: A potato is launched vertically upward with an initial velocity of 119 ft/s from a potato gun at the...

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Q: functions

A: We have to choose the correct option according to the given options

Q: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: 4- 1II Objective Knowledge Check Question 9 SARA V Español Consider the following system of linear e...

A: Reduced row echelon form

Q: Consider the function f(x)=12x^5 + 60x^4 − 100x^3 + 7. For this function there are four important in...

A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

Q: Use the Method of Substitution to find the indefinite integrals: t3et“ dt dx x VIn x

A: The given integral,a) ∫t3 et4 dtb) ∫9xln x4dx

Q: 4. AUVW AK Solve for the value of v. v+25 6v +5

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Q: Determine whether the improper integral diverges or converges. dx 1.fº. (2x-1)3

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Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 42 ...

A: Differentiable

Q: Let lim an = a and lim bn = b. Therefore n-00 n-00 ii) lim anbn = ab, n-00

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

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Q: The derivative of the function y = e* In(cos x) is: y' = e*(In(cos x) – tan x) y' = e* (In(sec x) + ...

A: Use the derivative of the form y = u.v

Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

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Q: : find ualue and eigen eigen vector of matrix A. 10 A = 7 -2

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Q: 1. Find the solution the following initial value problem. You will need to evaluate the integrals bu...

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Q: cos x 2. Evaluate lim X0 x cos x lim *+0+ x X cos x lim X0" x f(x) f(x) -1 1 -0.5 0.5 -0.1 0.1 -0.00...

A: The objective is to solve the above question.