Question 2 of 10 < > Find the exact arc length of the curvex= + 2) trom y= 0to y 5. Enter the exact answer.

Q: with the intial conditions of x(0)=5 and x'(0)=3 solve the equaltion of x''+3x=0 using the equation…

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Q: Find the curl of the vector fleld F(z, y, 2) = zi+ 8'y=²j+2rk. Enter your answer in standard unit…

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Solving

Q: Find the limit. lim tanh(x)

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Q: Convert the Cartesian coordinates (3, 3) to polar coordinates. (3√2, 45°) (3√2, 60°) (3√2, 30°)

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Q: The absolute max occurs att The absolute min occurs at t

A: Follow the procedure given below.

Q: 12 cm 4cm 4.cm 4 cm 9 cm

A: total volume = above rectangle volume + 2*below volume volume of rectangle = l*b*h here above…

Q: Find the equivalent DE for the given family of curves All vertical parabolas

A: Find the equivalent DE for the given family of curves All vertical parabolas

Q: x? V1-x2 dx Use trigonometric substitution

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Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

A: To find the solution of given differential equation.

Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y²(y – 1)sinx

A: We have to find the solution of the given differential equation.

Q: 1. f(t) = sinh? t

A: Given

Q: 9. lul 4,0: Ju] 4,0 310°

A: Given query is to find the vector.

Q: tanx sec4x dx

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Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: We have to find the value of xn+1.

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

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Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

Q: If cot (x) 23 (in Quadrant-I), find 30 sin(2æ)

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Q: Find the arc length of the parametric curve. x = 3 cos(t), y = 3 sin(t), z = 4t; 0 <t<+ %3D %3D

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Q: 1.) Í 9r*dr/V1- r 2.) csc c²20cot20d0

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Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: 4. tan³x sec*x dx. Use trigonometric groups

A: To evaluate the value of: I=∫0π4tan5x sec4x dx=∫0π4tan5x sec2x sec2x dx=∫0π4tan5x(1+ tan2x) sec2x dx

Q: dx If x2- 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Find the area of region bounded by the curves y = x² and line y=x.

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Q: ||r(t) × r"(t)|| ||r()* Use the formula k(t) to find k(t). r(t) = 8 cos(6t)i+8 sin(6t)j+ 7tk K(t) :

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Q: QUESTION 1 At a price of $700 a supplier will supply 170 items. If the price decreases by $100, then…

A: Given query is to find linear function of supply.

Q: QUESTION 8 Which of the following matrices are in echelon form? O1 23 4 001 2 01O1 O[1011 0 0 0 0…

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Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=&lt;ucosθ,usinθ&gt;

Q: Calculate the definite integral. 12 6 dx - 4 12 6. dx = (Type an exact answer.) - 4 X

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Q: Consider the following. -x2 – 4 f(x) = (a) State the domain of the function. all real numbers x…

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: х-5 Determine the equations of any horizontal and vertical asymptotes of f(x)= x²- 25 horizontal: y…

A: To determine the equations of any horizontal and vertical asymptotes of fx=x-5x2-25.

Q: x³ sin (x²) dx is evaluated using IBP, the value of v du When A 2 sin (x2) -2 sin (x2) none of the…

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Q: Choose the graph of y= 2 arcsin x, - T S YS T 27

A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: An open box is to be made from a square piece of material, 38 inches on a side, by cutting equal…

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Q: Use the power reduction formulas to rewrite the expression. sin (6x)

A: Here, we have to rewrite the given expression in simplest form. It means that eliminate the higher…

Q: Find the potental function of the vector fieid F(z, 9) = -9yevi- 18zyej when the constant of…

A: Solving

Q: Perform the elementary row operation R→R, on the given matrix. 3 2 1. 4 -2 -6 Resulting matrix: 1/2

A: We have to perform elementary row operation on the resulting matrix.

Q: Use the integral test to determine whether the series is convergent or diverg n2 n3 + 1 n = 2…

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Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: Use series to estimate the integral's value with an error of magnitude less than 10. 0.27 1 xp- 0.…

A: To solve the following integral using series

Q: if x 2

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Q: Using integration by parts, which of the following options is true of x arccse x dx ? x dx A rccsc…

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Q: Convert the polar coordinates (T, 7) to Cartesian coordinates. O ( T, TL) O(- T, 0) O (0, - T1)

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Q: n equation for the function that is described by the given characteristics. (Use x as the depend A…

A: Follow the procedure given below.

Q: 2.

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Q: Find the absolute maximum and absolute minimum values of the function f(2) = a° – 6z² – 6 - 63z +4…

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Q: Write the partial fraction decomposition of the rational expression. Check your result…

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Q: 5. y = (x? - 4) / (x² - 2x)

A: The given function,   y=x2-4x2-2x