g (z) = Find the derivative of the function. u? – 5 g (x) = mp- u? + 5° 3r

Q: Evaluate f(cos* x – sin“ x)dx

A: To evaluate the given integral.

Q: Znt 2

A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

Q: Find the vector component of v = (4, –1, 7) along b = (1, 2, –2) and the vector component of v ortho...

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Q: Jx(2х — 1)7dx

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Q: Find S y? sin y dy

A: Given,            ∫y2sinydy

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: 71/3 (b) Find a value c...

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Q: х dx е 2

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Q: (x + y)dx dy 1 3. 2)

A: Solve the integral. 

Q: ind the centroid of the volume formed by revolving about the x- axis the area bounded in the first q...

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Q: Find the real zeros of each polynomial. 11. f(x)=x-2x2-5x+6 12. f(x) =x' +2x'-12x-40x-32 13. f(x)=x'...

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Q: Evaluate (*(x-2) (х-1)3

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Q: Find the length of the arc of the curve 9y2 = 4x³ from the origin to the point (4, ). %3D

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Q: Use the given graph of f over the interval (0, 6) to find the following. 1- 1 (a) The open intervals...

A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

Q: Sy? sin y dy

A: Here we have to integrate the given integral

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: (x + y? + 1) dx + x(x– 2y) dy = 0

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 - 81x2' NOTE: Enter the exact...

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Q: Evaluate f(cos4 x – sin“ x)dx

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: Question 8 x²dx Evaluate x²Vx2 -4

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Q: - Trig Sub dx x+V9 – x2

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Q: r2 cos 0 d0 /1 – sin 0

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Q: 디/2 Evaluate using Wallis' Formula: sin5 x cos x dx

A: Use Wallis formula.

Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

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Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

Q: 4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p and q that repre...

A: We have to complete the truth table and to find the following question.

Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: ( a) Σ-1"+1, 2η+2 Vn3 + n2 + n n=1 ,2η n2n (b) en3 n=1

A: Given

Q: Vx - 2 dx 5 x*(Vĩ + 1)

A: I have stated the used formulas in the solution

Q: 3. Suppose that a function f has the following Maclaurin series: (-1)n+1 -(x – 3)" 3"n n=1 Find the ...

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Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: Evaluate the function y = - for x = 3 to x = 5 in steps of 0.5. Write the complete x+ code

A: % Matlab Code% defining the range for xx = 3:0.5:5;y = (x) ./ (x+(1./x.^2))

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A:   ---------------------------------------------------------------- x2+y2-6ax=0                     ...

Q: 7. What is Vx3 – 7 i dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: dy If y = x* then dx

A: This question can be solved by applying the concept of logarithmic differentiation.

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and b is %3D %3D Round your answe...

A: Solution is written in below steps.

Q: "/2 cost x dx "/4 sin6 x

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

A: This is a problem related to vectors. Based on the general formula of volume of parallelepiped we wi...

Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function. ...

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Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per ga...

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Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2 ...

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Q: Find the volume generated by revolving bout the line x -1 the area bounded by (y + 2) = 4(x + 2) and...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: Evaluate f x Vx + 10 dx

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Q: Given x+ y +z=3 and Po(2,1,0), find the following. (a) Find the equation for the tangent plane at th...

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