/Factored) Evaluat the indefinite Integral. Write your answer in xp गके एके +उमणेप्याउ 1- et:

Q: 1 dx V16 – x²

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Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X→ー0 2x4 +3x +2 f(x) =…

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Q: Determine whether the lines are parallel or identical. X - 5- y+ 4 z + 8 5 4 x + 7 = y - 5 z + 23…

A: The directional vector of L1:v1=4, -3, 5The directional vector of L2:v2:-8, 6, -10   : -2 4, -3, 5v2…

Q: (a) Plot the point with cylindrical coordinates (2, 27/3, 1) and find its rectangular coordinates.…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: We have to find value of given definite integral.

Q: (0, о, 16), (12, 12, 0) (a) parametric equations (Enter your answer as a comma-separated list of…

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Q: Use loganithmic differentiation to evaluate f'(x). 10 (x+2)" f(x) = (4x- 16)" %3D 11

A: Given problem:- f(x) = (x+2)10/(4x-16)11 To find:- Use logarithmic differentiation to evaluate…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: This subject is DIFFERENTIAL EQUATION. SOLVE THE FOLLOWING APPLICATION PROBLEMS 1. The population of…

A: Given that the rate of increase of the population of a country is proportional to the number of…

Q: A reservoir is shaped like a square prism. If the area of the base is 225 sq. em., how many liters…

A: Given: Area of the base = 225 cm2

Q: g (x) = sin(x) Compute IT IT + g' + g" 2

A: This question is based on derivative of a function.

Q: 2) y TC cos 30 1 b: Period: a: d: Phase Shift: C:

A: We have to find a,b,c,d, period and phase shift.

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: S x³et*dx

A: A detailed solution is given below

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: Select

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: dy – (x - y + 1)?dx = 0

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Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

A: Given query is to find the product of the numbers.

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 1. y sinx – xy² = c -

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Q: CSC* x dx cot2 x cot²

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Q: Evalu at e the in deffinite integral. 2

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Q: Which of the following is NOT a solution to the trigonometric equation 2 cot 0 cos 0 – cot 0 = 0? 2…

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Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: Find a) any critical values and b) any relative extrema. f(x) = x -2x +2 ... a) Select the correct…

A: We need to find critical points for maxima or minima.

Q: Find the following limit by evaluating an appropriate definite integral over the interval [0, 1 lim…

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Q: What would happen to the volume of the cone if the radius of its base is tripled and the height is…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: First simplify the integrand then integrate and simplify.

Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

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Q: x'sec'ydy – (1 – 2x²tany)dx = 0

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the centroid of the region in the first quadrant bounded by the given curves. y = x?, x = y7…

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Q: tan x dx sec x+4 cosx 5.

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Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

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Q: Determine whether the integral is convergent or divergent. 22 Ap 4y – 1 convergent divergent If it…

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Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2