The f cos 5x cos x dx is 1 {A} = sin 4x - 12 1 1 {B} sin 4x + - 8 12 cos 6x + C cos 6x + C {C} {D} 12 1 12 sin 6x - sin 6x -sin 4x + C 8 1 sin 6x + sin 4x + C 8

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Q: The fx³5x dx is x²+2 {A} x − ² (x² + 2)² + C 5 {B} x + ²(x² + 2)² +C {C}-{In|x² {D}+In|x² +21+ C…

A: integration

Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

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A: Given query is to find inflection points.

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Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

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A: Height is given by f(t)f(t)=-16t2+420t+6t =11.5

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Q: y = 3x-2\4 4x-5

A: WE use the properties of logarithm to find the derivative

Q: Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D…

A: D=-1245D=-1(5)-2(4)=-5-8D=-13Dx=-52-325Dx=-5(5)-2(-32)Dx=-25+64Dx=39Dy=-1-54-32Dy=(-1)(-32)-(-5)(4)D…

Q: Problem 4. If A is a skew symmetric nxn matrix such that n is an odd number, evaluate det(A).

A: This question is related to Matrices and determinants , we will solve it using given information.

Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: Explanation of the answer is as follows

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A: This question is related to Cost and Revenue function, we will solve it using given information.

Q: Find the general solution of the given differential equation. x + 2y = x³ -x dx y(x) = Give the…

A: Here, the given DE is: xdydx+2y=x3-x⇒dydx+2yx=x2-1 Comparing it to dydx+yP(x)=Q(x). We have P(x)=2x…

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A: This is a problem related to mensuration. Based on the formula for volume of cone and derivative…

Q: If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

A: There is more than 1 question, as per the Q&A guidelines I am answering the 1st question. If you…

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A: We can solve as follows

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Q: Activity 2: Solve each function below the letters and decode the unknown word in each number. Once…

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Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

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Q: 7. y=2 cos(x) - 1 끌 3m

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Q: The eigenvalues of the matrix 139 - 84 240 145 (a) Find an eigenvector corresponding to X₁ = 1 X1 =…

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A: Solved below

Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

A: We need to evaluate integral.

Q: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

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Q: 2. (4x³-3)dx

A: Let's find.

Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

Q: 10. Consider the region bounded by the graphs of y = tan-¹x, y = 0, and x = 1. Find the area of the…

A: Let's find.

Q: Use a computer algebra system to graph f and to find f' and f". Use graphs of these derivatives to…

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A: This question is based on function increasing and decreasing.

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Q: Find the arc length L of the graph of r(t). r(t) = 1³ i + 1 j + = √61² k, 3≤1≤7

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A: Given query is to find the amount accumulated.

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: Question 3 Differentiate: y = arccot (x)+ arctan 01 O (E) None of these Ⓒ2x O 1-2x O < Previous 1-2z

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Q: Let f(x) = -0.4x² + 7x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

A: Follow next step

Q: 44. Find f(x) if f(x) = 1/(2 - x).

A: