Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted from both numerator and denominator, the fraction becomes 1/2.What is the fraction?

Q: 3. sol Griven fun CHen. frxidz)= 9x2

A: To determine the first derivative ∇f of the given function.fx, y, z=2x3y2z2

Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at ...

A: We have to find f'(x) and tangent line.

Q: 14. Choose the best answer. Find the value of the remaining side of the triangle t a = 11, b = 6, C ...

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Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

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Q: the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How f...

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Q: In(x+xy+y) 1

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Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1 (...

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Q: 04 - +C 3ln® do : OP 2 2e A True B False

A: The given integral,∫2e3lnθ dθ=θ42+C

Q: Obtain a family of solution 1. (5v - u)du + (3v -7u)dv = 0 2. (x -y ln y + y ln x)dx + x(ln y - ln...

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If y...

Q: Let f(x) = |r|. The derivative of f at r = 0: Question 1. a) Equals to ±1 b) There are infinite poss...

A: Given, f(x)= |x| Finding the derivative we have, df/dx= d(|x|)/dx f'(x)= x/|x|  

Q: rving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bana...

A: We have to find how fast will she need to drive to arrive at the park-and-ride the same  

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 7 – 1 - x, and the line perpendic...

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Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: SHOW COMPLETE AND CORRECT SOLUTIONS IN ANSWERING THE FOLLOWINGPROBLEMS. PLEASE ANSWER 11 ONLY!

A: Topic:- Matrix algebra

Q: (a) lim 5x*+3x²-6r+10 2x4-3.x-4 4. Find the limit:

A: Given, Evaluate limit :limx→∞ 5x4+3x2-6x+102x4-3x-4

Q: Find an equation of a plane containing the line r=⟨0,−5,−1⟩+t⟨−2,4,−2⟩ which is parallel to the plan...

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Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1. ...

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Q: Find the value of k so that the value of (2x – 1) dx is 4. А) з в) 2 D) 5

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Q: Find u v. u = i - 9j v = -4i + j u v =

A: We can solve this as follows:

Q: A certain electronics manufacturer is making GPUS for gaming laptops (GPU stands for graphics proces...

A: Given an equation which represnt margin cost of x GPUs

Q: бх2— 2х +5 dx? 2х + 1

A:

Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

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Q: 10 3 -10 etermine the limits of the given function as x approaches

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Q: (1/16) ^2x-1 =64

A: Using rules of indices

Q: The cost of certain piece of machinery is S 700 and its value is depreciating with time according to...

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Q: Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents a...

A: Given problem:- Construct tangent segments drawn from an external point to a circle are congruent.  ...

Q: In the partial fraction decomposition 4x2 – 35x + 34 A B C x3 – 3x2 – 10x + 24 - 2 x + 3 x – 4 - -

A: NOTE: Refresh your page if you can't see any equations. . use partial fraction  ...............(1)

Q: Write the function g(x) in terms of the function f(x).

A:

Q: Find the value of 'n' that satisfies the equation: „C, =, C, the correct value of n)

A: We will find the value of n as shown below

Q: What is the area of the region in the first quadrant bounded on the left by the graph of x=ysqrty^4+...

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Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

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Q: If f(r) 2x(sin z + cos ), find f'(z). f'(#)- Evaluate the derivative at a = 3. Enter an approximatio...

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

Q: Consider the accelertation function of a particle a(t)= -cost + 2e^t measured in meters per second^2...

A: Let a(t) be the acceleration function of a particle at time t. Then velocity function of this partic...

Q: Please explain generally (with words) with a step-by-step example of how to convert a quadratic in s...

A: Let the given quadratic function y be of the form, f(x)=y= ax²+bx+c We take that, a- coefficient of ...

Q: d The power rule for finding derivatives is dx for all exponents n. 9 as 9Vn for some n. V In order ...

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Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

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Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: 2 (2xy t Hy-3) dx + (x +2J°dy =0

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

Q: Which of the following is not true? If (x) – 8 (x) ]dx = - frena- fawra (x) dx – A 8 (x)dh If (x) · ...

A: Here we will check one by one as shown below

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4 ...

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Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters

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Q: Find the angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of...

Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

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Q: 7. Find : y = (x* = 5«)a0n 5x, (b). y = x2

A: We can find the derivative as below

Q: V3 13) tan 3.

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Q: 16. Choose the best answer. Find sin uusing half angle identities. u= 90 D0.7071 -0.7120 O-0.9801 O ...

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Q: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given by the ...

A: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given bythe f...

Q: Let M be the region in the first quadrant bounded by the graph of y = 2x + 3, the graph of y = x + 3...

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Q: 2. Consider the infinite series 12 12 12 12 12

A: