Prove the identity. 1 1- cos x + 1- cos x sin ²x 2 = 2 csc ²x

Q: Write the trigonometric expression as an algebraic expression in u and v. Assume that the variables…

A: This is question of trigonometry Here trigonometric  expression is given  We have to solve for it…

Q: dentify one angle between 0° and 360° that has the same reference angle as a 30° standard angle.

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Q: Find the required higher derivative. Show your complete solution. 11x² 2 8. y=8x³-7x¹ −5x³+ -x+10;…

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Q: Find the particular solution of the differential equation y′–xey=2ey, given the initial condition,…

A: We can solve the given differential equation by using the variable separable method.

Q: Find the sum of the given infinite geometric series. a₁ = -8, r=-0.17 O-9.64 O-13.88 O -6.3 O-6.84

A: The geometric series has a1=-8, r=-0.17. We have to find the sum of the infinite series.

Q: A wagon is pulled a distance of 100 m along a horizontal path by a constant force of 40 N. The…

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Q: Find the derivative of y sin ¹(3x) x sin ¹(3x)-3x√1-9x²-9x² sin ¹(3x) x² (1-9x²) sin…

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 7t, y = 5…

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Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

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Q: (²x² (2x²-3x + 1) (x² +1)* a @y=x²e²

A: The given function is: y=xxe2x2-3x+1x2+112

Q: 5. k(t) = -5t²e-4t + sin(31)

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Q: 2. A thermometer reading 70°F is placed in an oven preheated to a constant temperature. Through a…

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Q: Prove the identity. 9 cos³x=(1-sin²x) 4 2 COS X

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Q: What is the volume of solid generated when the area bounded by y=x² and y=4 is revolved about y=4?…

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Q: Consider the curve defined by x² + xy + y² = 8. Find the slopes of the lines tangent to the curve at…

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Q: a) α (²)+(!)-(3) Suppose the above equation is expressed as Ax = b with x = matrix form as (Ab)= = α…

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Q: Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 50 minutes. If she…

A: Given : Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 50 minutes.…

Q: Which of the following expressions gives the length of the curve defined by R(t) = t²i-j+Intk…

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Q: 1/9 100% Sets: solved exercises b) B= Exercise 1. Tell whether the following sets are bounded from…

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Q: Question 2: Evaluate the following integrals. Show your work for full credit. Lax (lx) + 3) dx

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Q: Which of these is an equation of the tangent line to the curve (+2+ 2t + 3,4t cost, 2 e³t) at the…

A: Please see the below picture for detailed solution.

Q: Given that the distance in feet that a car moves in t seconds is given by d(t) = 4t2. Find the…

A: Given: d(t)= 4t2  when t= 15

Q: Use the 2 solutions Bernoulli's equation dy y + = x²y² dx x

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Q: Which integral computer the volume of the solid bounded by 2 = 4-x² - y² and the xy-plane in…

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Q: (9) The value(s) of x at which the function f(x) = e²x - 18x has a horizontal tangent line (A)x==²22…

A: To find the value of x for which the function has horizontal tangent line

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval Enter…

A: Use the definite integration to find the area under the given function with x-axis.

Q: S 7. Q(s) = √² + 64 8. G(S) = 5 4s 212-2² +8 1 1 9. P(S) = 5+42 - (5+3) -5s 10. F(s) = (²+1)²

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Q: So e co cost sin 2t dt

A: let I=∫0πecostsin2tdtformula used is…

Q: A semi-circle of radius of r =6 is represented by the expression: y(x) = (6² − x²) ¾, x¤ [−6, 6]

A: Given function y( x ) = ( 62 - x2 )12 maclaurin series upto 3rd term f( x ) = f( 0 ) + x f'( 0 ) +…

Q: The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay =…

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Q: Evaluate 2 arcsin without using a calculator.

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Q: Let f be defined as follows: x²-9 f(x) = x-3 k if x # 3 if x = 3 What value of k would make the…

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Q: Examine 2x² - 4xy+3y² - 8x+8y-1=0 for maximum and minimum points. Max. at (-3,-1): Min. at (3, 5)…

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Q: Rewrite sin (2 sin ¹4v) as an algebraic expression in v.

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Q: Find the total area bounded by the x-axis and the curve y(x) on the indicated interval. Enter your…

A: To find the total area bounded by the x‐axis and the curve y=fx on the indicated interval.fx=27x-9;…

Q: 4t Consider the curve r = (e¹t cos(-4t), e¹t sin(-4t), e¹t). Compute the arclength function s(t):…

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Q: Find the directional derivative of the function -24 fax,y) = xe direction of the vector . 9. 0 b C.…

A: To find the directional derivative of given function

Q: Where is the centroid of the area bounded by y=x² and y=4?Hint: Centroid is ocated on the line of…

A: A detailed solution is given below.

Q: 5. The plane are shown in the figure consist of an isosceles trapezoid (non-parallel sides equal)…

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Q: Given that the marginal revenue function: R'(x) = 200 -0.4x, where x represents the number of units…

A: Given marginal revenue function R'( x ) = 200 - 0.4x

Q: What is the volume of solid generated when area bounded by y=x, y-axis and y=2 is revolved about…

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Q: draw the graph of the in inequality y < 2x - 4

A: Topic:- application of functions

Q: whats the distance of JK, where J(4,3) and K(2,-3)?

A: Concept Let two points  P( x1 , y1 ) &amp; Q( x2 , y2 ) Then PQ = ( x2 - x1 )2 + ( y2 - y1 )2

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 5 4 3 Find f(2) O 7 -1 -2 -3 -4 5 1. Find lim…

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Q: Question 3 Consider the function f of one variable with equation y = f(x) = ln(a − e*) where a is an…

A: Given function is f(x)=ln(a-ex)Note:-As per bertleby guideline I have to solve only first three…

Q: Find the unit tangent vector at the indicated point of the vector function T(A/2) = ( r(t) = et…

A: Given vector r( t ) = e6tcost i + e6tsint j + e6t  k

Q: Act) = 10 [1+0s cos 0+ 0.5 Los 20] dacty ✓dt S ?

A: We know that derivative of constant is always zero

Q: uppose that the quantity described is represented by a function f(t) where t stands for time. Based…

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Q: Evaluate the given integral by changing to polar coordinates. (a) ff xy dA, Where D is the disk with…

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Q: (2) If g(x)=√x+x²+1 In(t) dt, then g'(x) = (A) (4x³ + 2x) In(x4+x² + 1) - 2x ln(x² + 1) (B)…

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