-3x² 2(T T + 10 25)

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Topic:-  application of integration

Q: Given the function f(x, y, z) = x ln(1 − z) + following and simplify your answers. a) | fx b) u fxz…

A: We can answer both the answer as below

Q: Estimate the value of 217(1/3) a. approximation b. differentials

A:

Q: ch among the equation represents the coefficent + 2 = (A + B + C)x² + (−A + B − 2C)x + -A+B-2C = 3…

A: We have to choose the correct option from the given options according to the given information

Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

A:

Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…

Q: Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to…

A:

Q: √x²-1 The value of the definite integral / dx is in the form F(b) - F(a), where a and b are the…

A:

Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis π b is…

A: Area

Q: 12

A:

Q: Which of the following describes the partial fraction decomposition of a rational function of the…

A: When there is a whole square in the denominator, it it divided into two parts. One consisting of…

Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) // ² dA over the region…

A:

Q: The volume, when the curve y = √3+ x2 from x = 0 to x = 4 is rotated about x-axis is O100m cu units…

A: Given:    y=3+x2 from x=0 to x=4  Volume of the curve V=π∫abfx2dx

Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0, using a vertical element.…

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: Evaluate Va²-x²dx using trigonometric substitution

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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

Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

A:

Q: The area bounded by the line y=x, the x − axis, the ordinates x =1, x =2 is ___ O 3/2 sq units O 5/2…

A: area

Q: Which of the following equations describes the partial fraction decomposition of a rational function…

A:

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A:

Q: For the first quadrant area bounded by the curve y = 1- x². Find the moment of inertia with respect…

A:

Q: 4. O y=√3 x=3-y² D

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Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

A:

Q: In the partial fraction decomposition for some numbers A, B, and C. Find the value of B? -x²-x+2 C A…

A: On solving this we will get:  B= 1/2

Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: In solving for the antiderivative of f(x)= using trigonometric substitution, f(x) dx is transformed…

A: given solution is correct,

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A:

Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

A:

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

A:

Q: Find the equation of the bisector of the acute angle formed by the lines 1+2y=3=0 and 2x+y-4=0. 0 a.…

A:

Q: Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® -…

A: Topic:- application of derivatives

Q: 4. x = 3 + 4 sine, y = 3cos0 - 4

A: Given: x=3+4sinθ, y=3cosθ-4 dxdθ=ddθ3+4sinθ = 4cosθ dydθ=ddθ3cosθ-4 = -3sinθ

Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

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

Q: Which of the following equations describes the partial fraction decomposition of a rational function…

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx VI…

A:

Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

A:

Q: The volume for solid of revolution between curves is the volume of the object between a curve f(x)…

A: We have to find the volume.

Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to

A:

Q: Evaluate the integral of the following: cos³ x+8 sin x cos²x+6 sin² x 2 cos²x -dx; cos x = 0

A:

Q: 2. Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal,…

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Q: Find the derivative of the following using the differentiation rules. f(x) = [x+²(x² - 2x-² + 3)…

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Q: Evaluate the integral S cos ³ x + 8 sin x cos³² x + 6s in ² x dx; cosx #0 2 cos²x

A:

Q: Consider the region on the 1st quadrant bounded by y = √√4x²,x and y - axes. If the region is…

A: Using shell method, given format is obtained. From this format, evaluate m-n.

Q: PART II: What is the area bounded by the curve y² = x and the line x - 4 = 0?

A:

Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration

Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.