S sin² 2xcos² 2xdx

Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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Q: A movie theater has a seating capacity of 163. The theater charges $5.00 for children, $7.00 for…

A: A detailed solution is given below

Q: Consider the infinite series > Evaluate the first four terms of the sequence of partial sums. k=1…

A: Given that infinite series       ∑k=1∞1k+3       We have to evaluate first four terms of the…

Q: QB3) Verify fxy-fyx for the function f (x, y) = 4x (Iny) + 4y (Inx) + (²²4 2²

A: We have to prove fxy=fyx for the given function.

Q: What is f (3) When x²-9 X-3 f(x) = x when XX3? Assume that f(x) is a function that is continuous for…

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Q: Work Problem for the question. Let where x = t = -1. You must provide a clear and detailed solution…

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Q: The graph shows the ellipsoid x² + 4y² + z² = 16. Use the graph to determine the equation of the…

A: The given data is: x2+4y2+z2=16 Let  fx,y,z=x2+4y2+z2-16 Now, fx=2xfy=8yfz=2z

Q: J7 -dz 21-8

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Q: Given that the graph of f(x) passes through the point (5,10)( and that the slope of its tangent line…

A: Given , The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at…

Q: A rectangle with perimetee 18 cm is rotated about one of its sides forming a a right circular…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: 3. For y = 3 sin x + 21, the third order derivative (a) -3 cos z +21 (b) -3 cos r 4. For y = e-2-50,…

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Q: If f(x) is a differentiable function then f'(a) is given by which of the following? f(x) = f(a) I.…

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Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: increasing decreasing f(x) = sin(x) + 1 T 2 + πn,∞0 0 < x < 2π (-∞0, 1/2 + 1) X X

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Q: If z = √√√xy, dz and x = t², y = 1² then =? dt Select one: O √xy(21) O √xy(21²) 0 2t O None of them…

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Q: Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test…

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Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

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Q: Evaluate the geometric series or state that it diverges. 5k E •(-4)* Σ 5 k=1 Select the correct…

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Q: Complete the table by determining the amount of money P (present value) that should be invested at a…

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Q: Suppose that f is a differentiable function with f(2) = 5. If the tangent line to the graph of y =…

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Q: Consider the following. lim x3/x x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: Given problem:-

Q: Find lim PHEL x² + 100-10

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

Q: z = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find, when s = 2 and t = -1.

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Q: Work Problem for the question. Let where x = t = -1. You must provide a clear and detailed solution…

A: Please see the below picture for detailed solution.

Q: with the initial condition y(1) = 4. -0 Y

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Q: A graph of a model for the sales of services between 2004 and 2008 by a leading global provider of…

A: We have to find the solution of given question.

Q: Evaluate: f³² ƒ³³ fő cos(# ) dzdxdy J(ㅠ-2) ○ 4 (ㅠ-2) ○ 4m ㅇ 풍 4

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Q: For what values of x is the tangent line of the graph of parallel to the line y = 0.7? (If there are…

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Q: Choose the domain of the following function f(x, y)= ln(2x - y - 5) O None of the others O D = {(x,…

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Q: 8x³ - y³ 3 lim (z,y) (1,2) 2x - y Select one: O equals 12. O equals 0. O None of them O equals 4. O…

A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

Q: if a = (3, 2, 9) and b = (-4, 7, 2), find a • b.   a) a • b =-9   b)  a • b = 19   c)  a • b =…

A: In this question we have to find the value of a·b

Q: Question Select one: equals 4. None of them does not exist. equals 12. equals 0. 8x³ - y³…

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

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Q: Which of the following is a valid triple integral? ⒸSS ſo ſh(e) (5) f(x, y, z) dzdydr h(y,z) flus) f…

A: We have to discuss about valid triple integral.

Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: The matrix The larger eigenvalue A-0 has multiplicity 1 0 has two real eigenvalues A, < A. Find…

A: The eigenvalues of A are the roots of the characteristic equation detA-λ I=0 So,…

Q: A 4 C 5 3 Find sin(ZABC +60°). B

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Q: 97. Σ n=1 1 2n(n + 1)

A: The given series,     ∑n=1∞12nn+1

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: topic- application of derivatives

Q: The graph shows the average monthly cellular phone bill since 1987. The slope of the curve at point…

A: The graph shows the average monthly cellular phone bill since 1987. The slope of the curve at point…

Q: Find a unit normal vector to the surface at the given point. [Hint: normalize the gradient vector…

A: The surface x2+y2+z2=38 at the point 5,2,3

Q: lim I→0 √2+11-√11 I

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Q: ax+ 2 x ≤ 2 f(x)=4-x², 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find…

A: To find out the value of a as f(x) is continuous at 2.

Q: The domain of f(r. y) = Select one True False 19-y V is the upper half of the disc centered at…

A: fx,y=9-x2-y2y

Q: Evaluate S ○ In O Divergent ○ In 11 O 6 In 11 6 dz 2²-25 16

A: Given problem :- ∫6∞6x2-25dx

Q: A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and…

A: Given data as follows :- Diameter of the semicircular gate is 4m. Height of the dam is 12 m.  Water…

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: See this solution in below