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Q: Give at least 3 examples of each type of matrix with solutions: 1.Vertical Matrix 2.Skew Symmetric...

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Q: a) i. Given that 'm' and 'n' are powers of 'a', state four laws of indices ii. Explain the concept o...

A: Given : m and n are power of a

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (5x² – 2y²) at the point (1, 1)....

A: (4). (a). The given curve is:f(x,y)=ln5x2-2y2

Q: Find all the complex roots of (4 – 4i)1.

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Q: 3cott csc? 3tdt 5. (4+3®t3t

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Q: 2 3 5 6 0 2 A =

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Q: In a group of 25 students, 15 are enrolled in Lab, 8 are enrolled in EconTwo, and 5 are neither enro...

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Q: O x-1 (x-3)

A: x+1x2+8x+15=x+1x+3x+5x+1x+3x+5=Ax+3+Bx+5x+1x+3x+5=A(x+5)(x+3)(x+5)+B(x+3)(x+3)(x+5)x+1x+3x+5=A(x+5)+...

Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line ...

Q: limx→+∞ ( e^x+e^−x) /  (e^x−e^−x)

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Q: Find a possible formula for the graph. 6. 3 4 8. NOTE: Enclose arguments of functions in parentheses...

A: Given graph:-       To find:- The possible formula of f(x)

Q: 663 – 1162 + 170 -ep- 60 - 5

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Q: Integrate using u-substitution or the GENERAL POWER RULE

A: ∫cos4y2siny2dy  

Q: 6. Find : : (a) y = (x +5) tan 7x, %3D

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Q: . Use logarithmic differentiation to find the derivative of the function. x-1 y= x*+1

A: We can find the derivative as below using logarithmic differentiation

Q: (cos) 1. cos-1 COS 3. 2. csc-1 (tan=) 3. tan-1 (tan) 4

A: Cos-1cosπ3

Q: A periodic function, f(x) with period 4x is defined as 2n. - 2n sx< -A -RSX<0 f(x) = -X . Osx<* 2n, ...

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Q: (v-x²y*) Answer: Ty² -x) (r*y² – 4. x'y = 3xy 2 (4r – y² - 3y) (2.xy + 3y² + 3x – 6y 5. xy? +2y° +3x...

A: We know implicit differentiation of ax+by=0 with respect to x is, a+bdy/dx= 0  

Q: If cos x= - cos 50° by 0° ≤ x≤ 360°. The value of x is...

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Q: Tiny marine organisms reproduce at different rates. Phytoplankton doubles in population twice a day,...

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Q: 2х (b) 2 +1)

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 + 16x + 1 (x2 + 1)2 ...

A: We have to find integral.

Q: Answer number 22,

A: Topic:- application of derivatives  Note:- as per our guideline if more than one question uploaded t...

Q: Find the points of intersection (if any) of the graphs of the equations. Use a graphing utility to c...

A: NOTE: Refresh your page if you can't see any equations. . given equations re

Q: 2 -1 7. Evaluate:| 2 |-2 3 -21 15 9 8. Evaluate:

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Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: In 1993, the moose population in a park was measured to be 3960. By 1998, the population was measure...

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Q: Find the antiderivtive: (2x³ – 2x² + 10 - + C

A: Topic = Integration

Q: 3 2 10 11 3 10 x-y+z =} + z %3D

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Q: 6. Find y"by implicit differentiation of x³ + y3 = 1.

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Q: Evaluate using Trigonometric Substitution: dx c² –6x+5 None of the choices. Please refer to my solut...

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Q: 2) Find the Cartesian coordinates of the following : Зл. (4,–7) (5,7) , (10.5) , (3.5 , (-2,) , (4,-...

A: Given,           5,π , 10,π2 , 3,π4 , -2,3π2 ,  4,-π, 10,7π6, 12,5π3, 1,π6 ,           1,π3 , 3,2π3T...

Q: dy 11. = cos(In z) dx

A: The given data is: dydx=coslnx  To solve the differential equation.

Q: 2(-3)* 2* -7 gk +5 c) Determine whether the series absolutely convergent, conditional k=0 convergent...

A: C)

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

A: Using substitution and conversion answer is below. 

Q: Use the Squeeze Theorem to prove the following limit. lim (x+ 2) sin ++2)

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Q: The median home value in Missouri and Connecticut (adjusted for inflation) are shown below: If we a...

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Q: LATOKEN digital wallet (4 years old) has 10 000+ daily installs accelerating 20% each month, and 2 b...

A: What should be valuation of LATOKEN? 

Q: Hyberbolic (D5 – 2D³ – 2D² – 3D – 2)Y = 0 ANS.y = e¬*(c, + c2x) + Cze2* + C4 cos x + C5 sin x

A: Given: D5-2D3-2D2-3D-2Y=0 So, the auxiliary equation is: m5-2m3-2m2-3m-2=0 Now solve; m5-2m3-2m2-3m-...

Q: Find the derivative of the function y = In(x /x² + 14 X Vx²+14 1 Vx²+14 1 x²+14 x2+14

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first ...

Q: 4) Show that the circumference of the unit circle is equal to 1 1 dæ (an improper integral) x2 Evalu...

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Q: d'y Consider the solution of dy +x'y = 0 in the form of power series in x about dx dx xo = 0, i.e., ...

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Q: 8. lim (2x – V9x² + x + 5 n-+00

A: limx→∞2x-9x2+x+5  

Q: V1-31nsec? x 4. [tan log x) dx x(1+logʻx) 8. cot x

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Q: 5. By using separable differential equation, solve the initial-value problem 2x(y + 1)dx -y dy= 0, w...

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Q: ylany +1) dn -xdy = 0

A: y(2xy+1)x=dydxdydx=2y2+yxdydx-yx=2y2this eq is of the form of  bernoulli D.E dydx+P(x) y= Q(x) ynP(x...

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: 2. Prove the following identities related to the cross product of vectors (а) (и х v) х %3D (и w)v —...

A: Solution given below

Q: 2. Prove the following identities related to the cross product of vectors (a) (u x v) × w = (u · w)v...

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Q: Differentiate J(1+x"

A: