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Q: 10 dx 5. S (10 +1)5 6. S 2r(e**+1 – 2**) dx

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Q: 1. (1 + y?)° dy 2. S sin x+cotx dx sin?x

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Q: Find the second order Taylor expansion of [15] f(x,y) = (1 +4x2 +y2)1/2 about the point (1,2) and…

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Q: Fnd the Indefinite Integral and check your result by differentlation. (Use C for the constant of…

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Q: In(x) -dr

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Q: Szax -x2 EVALUATE THE FOLLOWING 1. cot x dx 4 sınx + cSC X 2. X sınx cosx dx S2) dx S cec'y dy 5. In…

A: We have to solve above integral

Q: S2 2 sin?x cos5x dx =?

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Q: (d) sec(x) – sec(x) sin²(x) = cos (x)

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Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.

Q: 7. Interpretations of Inter a) Determine the position function, s(t), of an object if the…

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Q: 1 - dx = x² – 6x+8 -4 +C х-2 (A) In x- 2 In 2 (B) +C - 4 (C) 극미(x-2)(x-4)|+ (D) n|(x-4)(x+2)|+c (E)…

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Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

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Q: х- у 3. f(x, y, z) = y? + а. f(3, —1, 2) b. d. f(2, 2, 100) с.

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Q: (-5 S + (0.9)" | lim

A: Given query is to find the value of the indicated expression.

Q: Sx² sinh xdx

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =

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Q: dz Find given: dt z = ze", z = t°, y = 1+ 4t dz dt Your answer should only involve the variable t

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Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Find two positive numbers that satisfy the glven requirements. The second number Is the redlprocal…

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Q: X+3 Q4) Find the integration by using: dx J 2x3-8X

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Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

Q: 9) Find the vectors angle between the twe

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: Identify the given differential equation as to the dependent variable, degree of equation, whether…

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Q: Evaluate the definite Integral by the limit definition. Step 1 To find the definite Integral dx by…

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). %3D 13 r(t) = ti + t5j K(t):

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Q: A famous leaning tower was originally 184.5 feet high. At a distance of 130 feet from the base of…

A: Using sine rule, all parameters are evaluated.

Q: 13 1 dx 13 – x

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Q: 5. This problem will walk you through using integration to find the formula for an area of a circle:…

A: equation of circle  x^2+y^2=1 y^2=1-x^2 y=±1-x2 according to question circle lies only 1 quadrant so…

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We want to find the absolute extremum of the given function on the interval [-2,2]

Q: 1. Rules of LDef nite Integrals: 12 a) b) rpx 12 12 f(x)dr 4, find the If f(z)dr = 12, " $(z)dz = 6…

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Q: Represent the plane curve by a vector-valued function. x2 + y2 = 16 r(t)

A: The given plane curve is   x2+y2 =16.  We have to represent the curve by a vector valued function…

Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: Find V x (V x F) if F(x, y, z) = 2:xyj+ 9xyz k. V × (V × F) %|

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Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

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Q: 2. A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it…

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Q: Problem No. 1: Evaluate - dx using basic substitution method.

A: First I have used the substitution to make integral easy and then evaluate it.

Q: cy?t1) e COSX y2 dy 8- COSX CotX

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Q: Find f andf, and evaluate each at the given point. y' f(x, y) (6, -6) = arctan f,(6, -6) = (6, -6) =

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Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the…

A: Summation Thorem formula states that               ∑i=1ni=nn+12

Q: Consider the exact first order diff. equ: |M(x,y) = 2.xy- 3.x? N(x, y) = x² - 2y (I): (2xy - 3x )dx…

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Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

A: We need to find radius and interval of convergence.

Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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