The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) = (6²+3)+(²+3) + (0²+)

Q: Find the area between f(x)=x²-9 and the x-axis from x = 0 to x = 7. C... The area is square units.…

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Q: 2 3 ln x² dx 13mx 히 X

A: Given problem:- ∫ 3ln(x^2) dx/x

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Q: (x - 2)² + (y + 2)² = 8 The polar equation of the Cartesian equation r = 4r cos 0 - 4r sin 0 - A r =…

A: We need to find polar equation.

Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: Use the limit comparison test to determine whether the series converges 1 k=√125k² - 2k The series…

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Q: -X f(x) = 9x² 9x² x-3 if x ≤ 0 if 0 3

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Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: Q5/ Determine the positive root of f(x) = x10 - 1 using the Newton-Raphson method and an initial…

A: Given

Q: I'm seeking help on the 2nd bullet point starting with "Now find the equation of the tangent line...

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Q: 6) Find The derivative of yo

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Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

Q: Question: 3 The volume of a cube is increasing at a rate of 15cm/min. At what rate the side of the…

A: We know that volume of cube is (side)3. That is V=x3, where x is side of a cube. Differentiate V…

Q: B. find polar form of the complex number z = (2√3-4i) + (-√3+5i).

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Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: 2. A swimmer wishes to swim directly across a river that has a current of 2.5 m/s. He can swim 3.5…

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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: ㅗ I SINA + C cos ²³x cot x dx = In (sinx) - 2

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Q: A ball of mass 5 slugs is dropped from a height of 1000 ft. Find the limiting velocity of the ball…

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

Q: 4. Evaluate the integrals below. relevant triangle in your work. | | (1 (1 + tan²0)² de (b) 1…

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Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the…

A: p(x) = ax2+bx+c passes through point (1,7) , (-1,13) and (2,7). So, Form three equation using, p(1)…

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

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Q: A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling…

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Q: Find Fourier Series of the Function: -K f(x) = {-k -π<x<0 0 < x < π K

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Q: The set of all the solutions of the equation z³ = -27 in the complex plane is (a) (-3) (b)…

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Q: sin't 3 x cos x dx 500 х 415

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

Q: Which of the following definite integrals represents the area of the shaded region? A. S²x² dx B.…

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Q: Approximate the area under the curve over the specified interval by using the indicated number of…

A: f(x) = 25 − x2 from x = 1 to x = 5; n=4 subintervals

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: f(x) = c TRY TO FILL THE хо xo FOLLOWING TABLE FUNCTION f(x) = c g(x) = x g(x)=x USING PUTE…

A: This question is based on area and integration.

Q: =) 2xydy + ( x² + y²) dy > 0

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Q: Find : dw/dk @=2 α - sin m καὶ 2

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Q: and the given initial conditions. y(-1) = 9, y'(-1) = -9

A: Given problem:- In this problem, y = c1 ex +c2 e-x is a two-parameter family of solutions of the…

Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 3. The area is square units.

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Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y¹ x² - y²

A: The given limit is: limx,y→3,34x4-4y4x2-y2  To find the value of the limit.

Q: Find the horizontal and vertical asymptotes of f(x). f(x) = 6x x+4 .….. Find the horizontal…

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Q: a) Using all the letters of the word SUCCULENT, determine how many distinguishable arrangements…

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Q: A tank contains 240 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

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Q: f cos todo : 2 sin 10 + C

A: Given: ∫cos12θdθ

Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: Using the sum and difference of cosines formula, find the exact value of cos(5π/12)   Enclose…

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Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

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Q: Tutorial on 1. Find Let cos²t } -St f(t) dt dt 11 e - St Laplace Transforms Also D to fe S tcost

A: Concept: Using the formulas: L{tnf(t)}=(-1)ndnF(s)dsn................(where…

Q: Approximate the area under the curve over the specified interval by using the indicated number of…

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Q: Give a limit expression that describes the left end behavior of the function. 2+7x+8x² f(x) = Select…

A: We can solve this as follows:

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Solution

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: Solve the differential equation. (2x² + 3y²-7)x dx-(3x² + 2y²-8)y dy = 0

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Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

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