lim 1-3メ) 2. X->

Q: TT S sin () Evaluate: 8 cos? dx

A: We will find the value of the integral. 

Q: Q1. Fill in the blanks with a suitable mathematical expression. a) The function f (x) = sin(2x) is p...

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. So, here's the...

Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t? from t = ...

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Q: Write an equivalent double integral with the order of integration reversed. dy dx dx dy dx dy ©SS ax...

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Q: به)ک ن ان -)f Ssin*(x)cos°(x)dx du )کی + 207 - )J No appropriate Match au)قی - 207 - ه-)J du )کی + 2...

A: Find the integral match of the integral sin5xcos5x. 

Q: dy There is no need to simplify. dx 2. Find cos- (sin x) – sech(tan-x) a. y = ecosh a

A: Find your answer below 

Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y ...

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: = sec.x-/2 tan .x , find f' (=). %3D

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Q: 9 dx dy y² 0. 2

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

A:

Q: solutions

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Q: Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places accurac...

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From trapezoida...

Q: Evaluate: ,(3y6 – 8y* + 9y?)dy

A:

Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

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Q: 3. For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts. a. If they have s...

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Q: rotated about the x- axis

A: Solution is here 

Q: Find the equations of the tangent plane and normal line to the surface with equation 9y? + 9z2 = 22 ...

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Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider ∫sin(4-y)sin(3-y)dy=∫12(cos(4-y-3+y)-cos...

Q: A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the...

A: This question is based on application of derivative.

Q: .3 9. dx dy y2

A: Find the double integration. 

Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: ( 2² – 2x + 1, æ < 2 13- a, a22 Evaluate the following limits for h(a) = and Justify your answer. ()...

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Q: Evaluate using techniques of integration or integration by parts

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Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: The management of Porter Airlines finds that its monthly marginal revenue can be pproximated by R'(x...

A: Given query is to find the revenue function.

Q: Let V represent the volume of a sphere with radiusr mm. Write an equation for V (in mm) in terms of ...

A: Please see the answer below.

Q: In (x + 3* V-1) Differentiate: h(x) %3D Differentiate g(x) = 3x+2 Use logarithmic differentiation to...

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Q: bx a a dy dx 0.

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: The graph shown below is fx) = -(x - 1)2 + 5. What is the integral function g(x) that defines the ar...

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Q: Find the volume of the solid generated by revolving the area bounded by x – y? + 4y – 4 = 0 and x – ...

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Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

A:

Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 95...

A: Given that, The demand function is following, q = 950 - 14x Where x is the price and q is the demand...

Q: Find the values of x for which the series converg n- 0 -0, – 5) U (5,0) Find the sum of the series f...

A: We need to find sum of the series.

Q: Find the scalar and vector projections of b onto a. a = (-1, 4, 8), b = (14, 1, 2) 6 scalar projecti...

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Q: 1. S 4x-5 dx - partial fraction 2x2 +4x-6

A:

Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5...

A: Given query is to find the area of the shaded region.

Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

A: The given integral,∫x sin-1x dx1-x2

Q: dy e. dr + 4y = x² dy = sin(x + y) dx f.

A:

Q: 4x³ (log3 x)" (csc5 x) Vsinh(2x – 8) b. y =

A: We differentiate the given function using quotient rule of Differentiation i . e .  If   y ( x  ) = ...

Q: Question 6 1 dx 2х + 1)4.

A: Given integral ∫0∞1(2x+1)4 dx

Q: Consider the integral   ∫  e3x ln(14x) dx Using a suitable integration by parts, we can write this...

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Q: - 1] Q2 a. Find the eigenvectors of the matrix b. Solve the ordinary differential equation: dy Y-e d...

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Q: If f(x) = 6 cot-lx+ 8, then find the value of f'(-2) is %3D 6.

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Q: Find the length of the arc of the curve having the parametric equations x = from t = 0 to t = 1. t a...

A:

Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question. Kin...