ху 2x — 9 = 0; x = -3 =

Q: B: Find: 1- √ √Ze-²³ dz

A:

Q: Q5/ A: Use Linear Regression to fit the following experimental data X 3 2 3 1 6 Y 1 2 10 9 8 05 5 10

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Q: Given f(x, y) = 6x6 – 6x²y³ – 5y³, find fz(x, y) = fy(x, y) = fiz(x, y) = fry (x, y) =

A:

Q: Express the repeating decimal as a fraction. 4.474747...

A: Let the given decimal number be x

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A:

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A: We need to find limit and convergence.   As per Bartleby's guidelines we can solve one question from…

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Q: Calculate the following limit: lim (x,y) →(-1,1) 3y² + 3xy - x - y x³ + y³

A: Given, limx, y→-1, 13x2+3xy-x-yx3+y3

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

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A: This question can be solved using the concept of maxima and minima.

Q: 3. Let f'(x)=(x-10)(x+2)2(x-1)(x+7). For what values of x is fx) increasing? 0-110 0-9 8 None of…

A: Explanation of the answer is as follows

Q: Rewrite the integral using substitution: o 12 /108 cos du 36 1,³6 cos u du 1/12 1/108 108 cos 108…

A: Given: I=∫13x2cos4x3dx   ...1   As we know that; ∫a·fxdx=a·∫fxdx, where a is constant.

Q: find dy/dx by means of implicit differentiation where y is defined implicitly by y=(x^2+8)(x-y)

A:

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: The objective of the question is choose the correct option.

Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

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Q: 1 1- Q2: Evaluate f ¹-² y² (x² + y²) dx dy the product

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: P(AB) P(A) 13- P(B/A)= P(A)=0 (a) (c) P(A) #0 on condition that P(A)= (b) (d) P(A)=1

A: We know that P(B/A)=P(A∩B)P(A)

Q: B/ Find the Laplace transform of f(t) defined as: f(t) = (t-1, (3-t, when 1< t <2 when 2 < t <3

A: Let's find laplace transform of given function.

Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1- x² dy = 0, y(0) = =…

A:

Q: A stone is dropped off a 784-1 cliff. The height of the stone above the ground is given by the…

A:

Q: B: Solve the following differential equation by Laplace: ²+2+5y = e-¹ sint .y(0) = 0,(0) = 1 dx

A:

Q: tan y-secr=5 find...y'

A: Follow next step

Q: sin't 3 x cos x dx 500 х 415

A: ∫sin6xcos3xdx=∫1-sin2xcosxsin6xdxLet u=sinx.=∫ u61-u2du=∫ u6-u8du=∫ u6du-∫…

Q: Q4/ A: Find Fourier Series of the Function: f(x) = {-K -HAXNO SISE

A:

Q: Write the first five terms of the sequence: {√n² + 7n-n}1 Determine whether the sequence converges,…

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Q: 2 f cos³x sin³² x dx = sin ³x 3 sin 5x 5 +6

A:

Q: The interest on an account increases exponentially. If an initial investment of $1000 earns $120 in…

A: Rate of increase

Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

A:

Q: Complete the explanation of how to map one triangle onto the other. 8 in. 4 in. 4 in. 7 in. and then…

A: We need to choose correct option.

Q: For the functions below Find the function's domain and the function's range (Adtower Two only): y 1)…

A: 1.] Given f(x,y) = √(y-x) For domain √(≥0) So, (y-x)≥0 Or y≥x Domain = {(x,y): y ≥ x} The Output of…

Q: Qy integration value Equal? @ (√x-1)² + ( 2 Q 2 (√x-11³ 3 @ → (√x - 1)³ + ( 3 Not of the above + C S…

A: To solve the given integral.

Q: 9. Itan tan-¹ √u √u du

A: Given∫tan-1udu

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A: The objective of the question is evaluate the definite integral.

Q: 8. What rule should be used in deriving f(x)=x5? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x A.…

A:

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A: We need to find the limiting velocity of the ball of it encounters a force due to air resistance.

Q: Let f(x) = x-10 2 x - 10x Find the indicated quantities, if they exist. (A) lim f(x) x-0 (B) lim…

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

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Q: 4. Let (x) - 6x² + 13x+7 3x + 2 What is the equation of the oblique asymptote of f(x)? From what…

A: Solution

Q: Using the series ratio test 47 Σ=1 = 1 3n+1 L>1 -A L<1 -Β I = 1 -C not of above- D

A: Given :∑n=1∞4n3n+1

Q: Ⓒ Find ³ dx J & 4 3

A: SOLUTION-

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A: A detailed solution is given below.

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A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: 4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 <x< 1 and concava…

A:

Q: attached

A: We will solve the problem.

Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 5 pounds of salt…

A: