Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z"e6y dz dz Solve and calculate for ar and dy

Q: 1 2. - 2 ( x+ 1) 2 xp-

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Q: Find the Indefinite Integral and 5x + dx (5x), Step 1 To obtain the glven Integral, rewrite the…

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Q: Find the sum and express the answer in its lowest term. 3 =N 4 10 1) 9 3 2) + 13 6. 4 3) + + 7. 9.…

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Q: 15.5 10.5 15.5 Suppose | f(z)dz = 4, f(z)dz = 8, f(z)dr = 2. 13 f(z)dz 10.5 10.5 | (4f(z) – 8)dr =…

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Q: y 3 to 2.

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Q: 3 p Show that the area of an equilateral triangle with sides p cm is A = 4 If the side is changing…

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Q: n4 In n 00 b) Is the series is absolutely nº – 2 n=1 convergent or divergent? justify your answers.

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral.

A: Topic:- definite integration

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2,1), and C= (2,…

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Q: Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of…

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Q: -n- 2 3n? +n+ 4 Use the root test to determine whether the series 7n converges or diverges.

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Q: Find all values of x and y such that Px(x,y)=0 and Py(x,y)=0 simultaneously.   P(x,y)=…

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Q: . Find the derivative of f (x) = (2x – 6(3x²+8). A. 30x4-54x2+32x %3D

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Q: Find the moving trihedral of the curve 7(t) at the indicated value: 7(t) = cos? t î + sin? t ĵ + 1…

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Q: Let D be the solid unit cube: 0 < x < 1, 0 < y < 1, 0 < :< 1. Let S be the closed surface boundary…

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Q: Question Given f(x) below, find f' (x). f(x) = 'dt Provide your answer below: S) =D %3D FEEDBACK…

A: Given query is to find the derivative of the expression.

Q: -4 -6 -1] A = 8 8 4 -2 6 Find (a) 41 – 4A -A² + A³

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Q: .

A: We will find the third derivative.

Q: 2. Determine el área de la superficie generada al girar la curva dada alrededor del eje…

A: solution:-x=13t3,    y=t+1x∈1, 2rotating around the "y" axissurface area of…

Q: 19. lim, (1 - 5-) - -2 (+음-1) = -2 3 20. lim = 7

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the first five non-zero terms of Maclaurin series (Taylor series centered at a = 0) for the…

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Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: If x = t^2 + 1 and y = t^3, then the second derivative is? (Show your complete solution). a. 3/(4t)…

A: Given that,   x=t2+1 and y=t3

Q: ex -dx e2x+1 00 Determine el valor de a e R tal que: 4 a

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Q: 3"n2 is n! Zn=1 а. 1 b. 0 c. Diverge с. d. Converge d O b

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Q: (x) = Vxcl

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Q: Find the area of the region that lies outside the circle r = 3 cos and inside the cardioid r = 1+…

A: Given r=3cosθr=1+cosθ

Q: point on a curve at which the concavity changes sign from plus to minus or from minus to plus.

A: Topic:- calculus

Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < r < 2n 2.68

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Q: 7 1 = xp- Зх-2 du 5. 2 O True O False

A: Given query is to find statement is true or false.

Q: Given the curve X = 2y – y and the line X = 0 Find the moment of R with respect to the y-axis M. y…

A: Given problem:- Given the curve x = 2y-y2 and the line x = 0 Find the moment of R with respect to…

Q: (-1)" /n + I is n + 2 n=1

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Q: ollowing integrals: 1. cos 2xdx |2x -5/kdx 2.

A: Given∫cos3 2x dx  Substitute u=2x→dudx=2→dx=12du =12∫cos3(u) du ∫cos3 (u) du preparation for…

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

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Q: What is the domain and range of  g(x) = log(x-9) + 3

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Q: Write the sum using sigma notation: -3+5 + - 7+...+- 17 Σ i = 1

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Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: Problem #6: Find the equation of the line tangent to f (x)= cos x-sin? 1 at x =-. 5х 6.

A: We have to find out the tangent line

Q: Find the derivative of the function at Po in the direction of A. h(x, y, z) = cos xy + e + In zx,…

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Q: Given the graph of the function f below, Which of the following must be true? lim A) lim f(x) = lim…

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Q: Solve 4 cos (x) 13 cos(x) – 12 = 0 for all solutions 0 < x < 27 I = 138.6 Give your answers accurate…

A: Let's find.

Q: 4 2 0 2 6 8 -4 -2 4 lim Given the graph of the function f above find f(x) X-2 A) 3 B) -i C) 2 D) 4…

A: We will find the correct answer.

Q: 4 sec t to evaluate the integral J 2-16 dx Use the substitution x = Note: Use C for an arbitrary…

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Q: Determine if the function is odd, even or neither * x2-1 x²+1

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Q: 6. Find the intersection of the line I and the plane t. 1:7 = (4,–1,4)+t(5,–2,3) T: 2x+5y+z+2=0

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Q: Use the substitution x = 3 sin t to evaluate the integral f V9 – x² dx. | Note: Use C for an…

A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

Q: Hemagenaus nous y+ X

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Q: 3 (16-9r2)7 dr 9. p6

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Q: 1. The direction vector of a line is an indicator of its slope. 2. The dot product of two vectors…

A: Basically we know that direction of a vector is the angle made by the vector with the horizontal…

Q: Find the sum of the series. 00 5n Σ 9"n! n = 0

A: we know  ex = 1+ x/1! + x2/2! +.....