If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list.) %3D dx dt

Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the ...

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A:  Given perticular solution y=e^(-x/2)  And y=e^(2x)cos3x

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A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

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Q: 1. For the polynomial function P(x)= x' - 2x – 33x+10 (a) Describe the end behavior of P. Use notati...

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Q: Determine (with proof) if the following series is converging absolutely, converge conditionally or d...

A: This question is related to behavior of infinite series, we will solve it using Ratio Test. 

Q: -1 4x° sec x dx

A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We w...

Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the v...

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Q: FValua te!- D కో బాషా 2ax-x2 a

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Q: E. Perform the indicated operation given the following function. f(x) = 1- 2x g(x) = -x + 3x h(x) 3x...

A: The composition (f ° g)(x) means "evaluate g at x, then evaluate f at the result g(x)"

Q: 9. A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in ...

A: Note :- These are multiple questions and according to our company guideline we can do maximum one qu...

Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B. 7(...

A: We are asked to find the derivatives.

Q: For the next five questions, consider the following differential equation: ( + ry")dr + (5y - ry+ y'...

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Q: cln /3 2e" Ve2x +1 dx

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Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...

A: We have to find the determinants of the below matricies.

Q: Find r(r+ 6)° dx. A 12r²+C B 5x5 + 3x*+ 12x³+C

A: Using integration rules &amp; formulas.

Q: -5x + cos (9x) – 1 Evaluate lim 2x Submit an exact answer.

A: To Evaluatelimx→0-5x+cos(9x)-12x  

Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C

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Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

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Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: as, consider the different

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Q: The volume of a right circular cone of radius a and height y is given by V : ' = ma²y. Suppose that ...

A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the...

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

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A: Given, y = (x – 1)4 (x – 6) We can find inflection point by finding second derivative and equating i...

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Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: ip dt + y* = tys (MULTIPLE CHOICE) Which of the following is(are) true about the equation (A) The di...

A: Given that Diffrancial equation t4dydt+y4=ty3Solution :t4dydt+y4=ty3dydt+y4t4=ty3t4dydt+yt4=yt3this ...

Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

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Q: Find the indicated nth derivative of the following functions: 4. 2nd derivative of y = x5e-3lnx ans....

A: Topic -  derivative 

Q: Find the slope, TL and NL of the function y= 2x2 +2x at the point x=1/2. Graph the function, TL, and...

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Q: Evaluate the following integrals. 1. 4x sec .3 -1 x dx

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Q: f(x+h)-f(x) mplify the difference quotient for the given function f(x) = 7x - 3x+2 x+h) - f(x) (Simp...

A: Per are asked to find the difference quotient 

Q: - Find: if x<1 if 1sx<2 if x 22 f(x) =x a. lim f(x) d. lim f(x) X-2* 2x b. lim /(x) e. lim f(x) c. l...

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Q: y? 1. 2. Consider the equation In ry (i) Show that (r, y) = (1,1) is a solution to this equation. dy...

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Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

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Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

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Q: Evaluate lim -2x csc (-5x).

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Q: 12

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