Solve 6 sin X = π X = 2 for the four smallest positive solutions

Q: Reverse the order of integration in order to calculate the following integral: 2 1+x4 0 dx dy.

A: We can evaluate the given integral by using the integral formulas.

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Q: dy_y-x dx y + x

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Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

A: Given data÷ fx=3x+1071-x6 Find the first derivative f'x. Useful formula ddxxn=nxn-1…

Q: Find the constant a such that the function is continuous on the entire real line. -√8x², a = ax - 8,…

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Q: Your answer is correct. Find the solution of the given initial value problem in explicit form. ) =…

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Q: 1. Which of the following values would be obtained using 10 circumscribed rectangles of equal width…

A: The integral is  ∫01 x2 dx

Q: Engineers and scientists often use visual or mathematical representations to investigate items that…

A: Given :Engineers and Scientists often use visual or mathematical representations to investigate…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

A: This question is related to indefinite integration, we will solve it using given information.

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

A: Solution: Let the radius of hemisphere and cylinder is 'r' and the height of cylinder is 'h' Then,…

Q: Let →r(t)=⟨2t−3,5e^−2t,−2e^2t⟩ Find the line (L) tangent to →r(t)r→(t) t=-3.

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Q: (ii) Find all values of k for which the integral fo (+)da converges and evaluate the integral at…

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Q: 3. A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well…

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Q: Find an equation of the tangent plane to the surface represented by the vector-valued function at…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct…

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Q: uanita wishes to have a rectangular garden in her backyard with an area of 60 ft². etting x denote…

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Q: Find f'(x). f(x) = (9-3x) 14 f'(x) =

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Q: Without using a calculator, for the following, find the area of the surface obtained by rotating the…

A: We need to find surface area.

Q: Sketch the system. Identify the type of graph within the system. Find the intersection y = x² + 2x +…

A: Given data÷   y=x2+2x+1 and  x-y=-3   y=x2+2x+1 is a parabola and  x-y=-3 is a straight line

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. -108 J-72 yz dx dz dy =

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Q: Find the composite functions (fog) and (g°f). What is the domain of each composite function? (Enter…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -8 (a) lim f(x) =…

A: To find out the limits.

Q: Solve the initial value problem y" - 3y' — 40y = 0, y(0) = a, y′(0) = −35. Find a so that the…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of t…

A: Please see the below picture for detailed solution.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: of. F. F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

A: We need to find integral.

Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

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Q: Σ n=0 3η – 2 5η + 7 +7

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Q: C'(x) = C'(8) = 1 √√2x + 48

A: It is given that, C(x)=7+2x+48     ,    0≤x≤50 We have to find the value of C'(8).

Q: Ιπ 11. State the exact value of csc- 4

A: Cosecant is negative in 4th quadrants. Therefore, csc(2π-x)=-csc(x)

Q: The owner of the Rancho Grande has 2944 yd of fencing with which to enclose a rectangular piece of…

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

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Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ - 3x (3x + 4 if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: nd the equation for the hyperbola whose graph is shown. -10 1 y=--x y 10 5 y = -x 10 X

A: Topic:- geometry

Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Find d²y/dx². y=xsin x 10 cos x

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Q: t: It F is conservative, the integration may be F(x, y) = yi - xj (a) r₂(t) = ti + tj, ost≤1 (b)…

A: Follow the procedure given below.

Q: Consider the following vector field F(x, y) = Mi + Nj. F(x, y) = x²i + yj (a) Show that F is…

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Q: Without using a calculator, for the following, find the length of the curve over the given interval:…

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Q: Solve for æ in terms of k. log5 x + log5 (x + 6) = k. g₂ (x² + 1) - you might be using an incorrect…

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Q: n=0 In(n + 4) n+4

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Q: Problem 10 (i) Write the polar equation in Cartesian coordinates. (ii) Write the rectangular…

A: This is coordinate system problem

Q: 4. A certain computer algorithm used to solve very complicated differential equations uses an…

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Q: Solving Differential Equation by Laplace Transform Solve the following initial value problems using…

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