Evaluate the definite integral. n/2 sin*(x) cos(x) dx = -n/2

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t 15)…

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Q: Evaluate 11 Q3 x²e*y dxdy 0 y

A: We will solve this question by changing the order of Integration.

Q: Evaluate the definite integral: 7/4 1+5 cos2 (t) dt cos? (t)

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Q: f(x) = x² + 2\ – 100 I need to arrange the equation so that x is on one side and the rest of the…

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Q: 2 X fcx) = x + 2ー 00 Solve this question by the Newton-Raphson method on the topic of solution of…

A: Let's find.

Q: 2. Use disk or washer methods. Find the volume of solids enclosed by y -2 = (x- 2)* and x- 2 = (y-…

A: Given: y-2=x-22⇒y=x-22+2x-2=y-22⇒y=x-2+2 Formulas used: Using washer or disc method, The volume of…

Q: 117 +i sin 12 117 = cos-+i sin- where 0se< 2x. 6 and Find the quotient of z = 4| cos 12 z2 6 21 =…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 11. The graph below represents the graph of y = csc x. -5 -10 -5 10 True False

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Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: dx 1+x3

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 12 over the interval (0, 4]

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Q: 3. Given and z2 =? 57 +i sin Z1 where 0se< 2x . 4 = 12 +i sin find cos+i sin 2 37 O 1= 9 cos +isin…

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Q: Sketch the graph of the following function. Describe how the graph can be obtained from the graph of…

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Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: What effect does the negative sign have on the graph of y = -2 cos x? reflects the graph of y = cos…

A: Given query is to the transformation applied.

Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

Q: Determine the angle between the following two planes: −x + 6y + 3z − 6 = 0 2x + 3z − 10 = 0

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Q: Cotangent graph does not have an amplitude. True False

A: A Cotangent graph does not have an amplitude??

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: What is the exact value of tan(sin(-#))?

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Q: Find the derivative of the funciton F(x) = dt. F'(x) =

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Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Ex : Express the Sum o+ 2+4+6+8 in Sigma nata tion. -2

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Q: Given the triangle, find the angle 0 in radians. Round to the nearest tenth.

A: Given the triangle below, our aim is to find the value of angle θ in radians.

Q: The value C for the solution of the initial value problem f'(x) = r - 7r + 3, given that f(0) = 0.…

A: We have to find value of c

Q: Water is flowing into a vertical cylindrical tank or radius 2 meters at a rate of 8 cu. meters per…

A: Given that vertical cylindrical tank that has radius 2 meter and water is flowing rate is 8cu.…

Q: xsin-1x dx V1-x2

A: We know, ∫udv=uv-∫u'vdv ddxsin-1x=11-x2

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Draw the graph of f(x) = – 5" + 3 10+

A: Graph of 5x (a growth function)passes through (0, 1)whereas -5x is a reflection about x-axis.and…

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: For the given function find: a) The intervals on which fis increasing, b) The intervals on which fis…

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Q: S(x + e*)²dx

A: We have to find value of given Integral.

Q: Y = 4 - x2, and 2y = 4 - x2

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Q: 3. Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot…

A: Given: Land in downtown Columbia is valued at $10 a square foot. Triangular lot with sides lengths…

Q: Solve the differential equation Q1 y" - 3y' + 2y = 0 when y(0) = 1, y' (0) = 0 %3D %3D

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Q: Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with…

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Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: Find the point(s) on x = 3 − 2y^2 that are closest to (−4, 0) You do not need to restrict the domain…

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Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

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Q: Solve the following system of equations: X 2y + 3z = 1 - x + 2y – z = 13 3x + 2y – 5z = 3

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Q: Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

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Q: 3 dx x² +4x+29

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Q: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

A: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

Q: xsin-1x V1-x2

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Q: Evalua fe the integral 7) Of xy dx sübjcct to the functional relation X = at and

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Q: Use algorithm to sketch the curve given by the function f(x) = 1 4 x +2x2 +1 [A:6] a) Determine the…

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Q: |(4e" + 4x + 7 cos a + 2)dæ =, O et – x4 + cos a + 2+c - O 4e? + x4 + 7 cos x + 2x + c O 4e? + x4 –…

A: We have to find value of given Integral.

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

Q: 2) y = 3tan 3 - -2 3n 27 5n 3n 7 47 9n

A: Given query is to graph the function.