12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact numbers.)

Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q (0) = -1,...

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Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given 

Q: A scientist discovered a new material that expands at an extremely fast rate. After studying this ma...

A: Given problem:- A scientist discovered a new material that expands at an extremely fast rate. After ...

Q: Find the coordinates of a point P on the line and a vector v parallel to the x - 7 y + 9 = z + 4 Р(x...

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Q: n+1 24. 2n +3 n=0

A: Given query is to find the series converges or diverges.

Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: Consider the points A(3, –1,3), B(4, –3,0), C(-2, -2,0), and D(6,3, –5). - (a) Find the volume of th...

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: 3. Find the area of the region that lies inside both curves: r = sin 0,r = cos 0 0.8 0.6 0.4 0.2 -0....

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Q: P L A B Use the method above to find the distance from the point P(-3,1,8) to the line through A(1, ...

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Q: - partial fraction 2х -3 -dx (x– 2\,x+3)'

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Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: Give The 15T four nunzero Term ot MeSertes aboufx=625.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Find a particular solution y, of the differential equation: (a) 2y" + 4y' + 7y = x2 (b) y" + 9y = 2 ...

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Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

Q: the

A: We will find the vertical asymptotes if it exists. 

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and make...

A: Select a normal vector and a point then write the equation of the plane. 

Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Find the angle e between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: The angle between two vectors can be evaluated by: θ=cos-1u·vu v

Q: Given the function 2. Y(s) . 51 + 45 + 8

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: Find when the function is concave up and when it is concave down. (remember it is arctan not an expo...

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Q: find A-1 using Gaussian elimination and check the result [2 3 2 -31 2) A = |1 -2 -1 Ans: A-1 = -1 -2...

A: We can find Inverse of the matrix by using Gaussian elimination method and also apply Row operation ...

Q: 10. y-5dy -y-4dx = xdx; when x=y%3D0

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Q: 3.Determination of Integrating Factors : Solve the equation (x² + y² + 1) dx + x (x – 2y) dy = 0 O x...

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Q: し y(x) ¥(0)%=3

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Q: Va + 4 What is the domain of the following function: f(x) = %3D x- 7 0[-4, 0) O (7, 00) 0[-4, 7) U (...

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Q: 11. Linear coefficients in 2 variables: Solve ti (x – y + 1) dx – (x + 4y + 1) dy = 0

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Q: 2 12. f (x) = (1tsinx) Cosx

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Q: Given the function Y(s) - +9

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Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이 ...

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Q: Give The 15T four nonzero Ternm oF Me Serbes abour ) He) =

A: Given:fx=excos3x

Q: If y= Vx (x-1), find dy (Use rules, not a XP de finition

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Q: 3-4 The figure shows a lamina that is shaded according to the given density function: darker shading...

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Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: t in 30 minute please duopoly with homogeneous goods. There ar

A: When there are only two firms in the industry, it is in their advantage to collude and set the price...

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5. D...

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly repo...

Q: Se xe" ds. Cis the line segment from (0, 0, 0) to (1, 2, 3)

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

Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

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Q: Consider the following function: f(x) = ) = +" – 2v – 7 Step 3 of 4: Determine where the function is...

A: Given: Notice that f''(x)=6x2. Graph:

Q: 3. Determine the sum 3. 42n+1 (a) 33n n=1 4.5n-1 ( b) Σ 32n+3 n=1

A: to find: Sum of the given series

Q: Given vectors u = (-7, –5) and v = (2, –2) , find the difference V – u and represent the difference ...

A: Please refer to the solution which is uploaded in step 2

Q: A vessel in the shape of a cone, whose internal diameter is 24 cm and height is 50 cm, is full of li...

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