5 sin coso do 2 Sin ² + 3 sin 0 -4

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

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Q: (b) Given that p(x, y) = xsin(y)+x²y, determine the following (i) F = Vo (ii) ²p (iii) V.F (iv) VXF

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Q: Find the derivative of the trigonometric function using the chain rule. y(x) = cos…

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

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Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

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Q: Show that 0 π/2 st sin? xdx TT/2 [ 0 cos? rdr 2

A: A detailed solution is given below.

Q: Can you show me how to graph this please, I'm new to this subject Thank you!

A: We need to show how to graph the area bounded.

Q: (b) Find the general solution of: əz = yx² - xy Əx Given z = y when x = 1, determine the particular…

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Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: 2:- A. Solve the following differential equations using variation of parameter Method: Mads) d²y 1.…

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Q: Find the volume of the A =î - 13ĵ+ 4k, B = 3î + 2ĵ-7k and C = î - 2ĵ + 2k. parallelepiped whose…

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Q: - Find the mass of a lamina bounded by y = 5√7, z = 1, and y o(z,y) = x+2 0 with the density…

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Q: Find an equation of the set of all points equidistant from the points A(-2, 5, 2) and B(4, 3, -2).…

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Q: S x² √x²+4 dx

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Q: 1.ſv 2x - x² dx

A: Let's solve given integral.

Q: Find the equation of the tangent line to the vector function r(t) = (1-2 arctan(t), 3e¹−¹², 4ln(t²…

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Q: 5. The distance between the points (sin,cose) and (cos0,-sinė) is S

A: Distance between the points (X1,Y1) and (X2,Y2) is given by         ______________________ D =√(…

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 25x² +…

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Q: Find the Jacobian of the transformation z = 4u – 6v, y = u² − 2v

A: The objective of the question is determine the jacobian transformation.

Q: Q.16) The general term of the sequence -2,2.- (11)M+ight (n+1)! .n=1,2,3,.. b) (-1) (n) .n=1,2,3,..…

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Q: 1. S √x dx VX +1

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Q: Q.14) A sequence {()L a) converge to 3 b) diverge lecreasing

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: The rate in which the balance of an account that is increasing is given by A'(t)=375e^(0.025t).…

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Q: question

A: We have to choose the correct option from the given options according to the given information

Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: Note:- according to the company policy we can do only 3 subparts of a question so please upload the…

Q: 옻 sin 8x lim X→0 X K X f(x) -0.1 -0.01 -0.001 0.001 0.01 0.1

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Q: ? Question Classify the critical points of h(x, y) = x²y + xy² + x³y² + xy³ found in the previous…

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Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² Sysz Jed da

A: Follow the procedure given below.

Q: Q.8) A series Ek-13k+5 100 is : a) Converge by comparison test Converge by alternating test b)…

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Q: Find Maclaurin's series f(x) = √2x

A: We have to find the Maclaurin's series for f(x)=e2x

Q: 5 CSC x dx

A: Using following formula

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Given problem:- A rectangle is to be inscribed in an isosceles right triangle in such a way that one…

Q: 6. Determine the relative extrema and the intervals on which f is increasing/decreasing. Show your…

A: Let's solve.

Q: (2x)√2x + 1 dx

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Q: Solve for x accurate to three (3) decimal places ex-12=7

A: The given equation is  ex-12 = 7  Solve for x.

Q: 1. 3r, If R is the region in the first quadrant bounded by z-axis, 3r + y = 6 and Y evaluate J[34 3y…

A: Given: I=∫∫R3ydA And The region bounded by the curves is; 3x+y=6, y=3x and x-axis y=0.   As we know…

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 7 meters high with a…

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Q: 3 S₁ x ³ exdx

A: Evaluate the definite integral :        ∫01x3exdx

Q: Find the volume of the solid bounded below by the circular paraboloid z = z² + y² and above by the…

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Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 3, [3, 3.1]…

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Q: Q.24) cos(sin Q.25) f sin6x sin5x dx = a)(sinx-1)+c costix of(cosx +1)+c 11 +c simila b) (sinx+1 11…

A: 25 To solve; The integral ∫sin6xsin5xdx Formulae used: Trigonometric identity:…

Q: dy dr = cos(²) +

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Q: Q.18) A series (1), is: 2k+1 a) diverge by alterating series test canyerge by comparison test b)…

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Q: 4. (ази t эзо

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: We have to approximate the given integral.

Q: Differentiate Expressions

A: This question can be solved using the concept of differentiation of trigonometric functions.

Q: U 3 11 K A Find an equation of the tangent line to the curve at the given point. y = x In(x), (1, 0)…

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