Find the number(s) 6 such thát the average value of f(z) = 6x² – 26x + 32 on the interval [0, 6] is equal to 11.

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A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

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Q: If 5dx + 1 = 2, what is the value of b? 48x2 А.) 2 В.) 4 С.) 8 D.) 9 А) с B D D) A

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Q: Evaluate the definite integral. 4. 2x/x3 + 1 dx

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Q: 14 If dx and y when x = 1, find y(2). 3x- 40 A 27 27 26 27 27 B)

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Q: The Laplace Transform of

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Q: a. Suppose f(x) = 17x* + 16x² + 6x – 13. Determine the degree of f. Preview b. Suppose g(x) = 7x³ De...

A: Topic = Polynomial   To find the degree of the polynomial, add up the exponents of each term and sel...

Q: Let z(1, y) ry where a = r cos(30) & y = r sin( – 70). az дл ду дл ду az & ae Calculate by first fin...

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Q: Find the area enclosed by the x-axis and the curve y = -x2 + 9. A.) * 32 s.u. В.) 18 s.u. C.) 36 s.u...

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Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6    

Q: Vx+3 4. f(x) = f'(1) x-4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

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Q: 16. 5dx If +1= 2-, what is the value of b? 4 V8x2 a.) 2 b.) 4 c.) 8 d.) 9

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Q: 3 tan x – 4 cos? x cos x

A: Given : ∫3 tan x-4 cos2xcos xdx

Q: Find f, (X,y) and fy(x,y). Then, find fx(-3,1) and fy(-4, - 2). f(x,y) = - 2xy + 3y + 8

A: Given that: f(x, y)=-2xy+3y3+8

Q: Compute f' (x) using the limit definition. f (x) = 1 – 15x-1 (Use symbolic notation and fractions wh...

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Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

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

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: Function Type Differential Operator AxN + BxN-1 + .+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D2 ...

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Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find th...

Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a fun...

A: Consider the set 5,-6,2. The function is f:X→X and the relation is u~w⇔w=fu.   a) The relation is re...

Q: Use the limit definition to compute the derivative of the function f (x) = 5x- at x = 7. (Use symbol...

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Q: Find the centroid of the thin plate bounded by the graphs of g(x) = x2 and f(x) = - x+ 2. Use the eq...

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Q: Let z = f(x,y) = 6x - 9xy + 4y. Find the following using the formal definition of the partial deriva...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...

Q: Second-order non-homogeneous ordinary differential equation given a y" +3y' – 10y = e²* Calculate th...

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Q: 5. у %3D sin?(3x? — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(si...

A: Topic = Derivative

Q: Test the series below for convergence using the ratio test. n + 5 22n+1 n=1 The limit of the ratio t...

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Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: J, 4. lim X-3 x2 - 9 x - 3 lim X3 x2 – 2x – 3 5. X - 3 lim X"i x2 – 2x – 3 6.

A: We need to find limit.

Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 5. (Type your answer in ...

A: Given that: f(x)=(lnx)4

Q: What should be the rewrite of the integrand ofSAS dx so that the resulting integral is integrable? (...

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Q: Evaluate the expression. 2 7 + 3 6. 1 + 7+ 5- (Simplify your answer. Type an integer or a fraction.)

A: Topic:- algebra

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 + 3xy...

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Q: 3x^2y^2+2x^3ydy/dx=0, Find differential equations'

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Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

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Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: 2. Summation of a constant: E,=c, +c, +c3 +...+ c, = nc %3D Example Evaluate the following summation...

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Q: -b 5dx If f = 2, what is the value of b? А.) 2 В.) 4 С.) 8 D.)

A: Given:       ∫1b 54 8x23dx +1 = 2 78

Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

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Q: Question 5 The slope of curve is given as (2x + b + 5) and has a value of at x = 2. What is the valu...

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Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3| horiz...

A: Given that: f(x)=sin2x-sinx

Q: Function Type Differential Operator AxN + BxN-1+ .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) (D? +...

A: Solution

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

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Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: 11. Find the total area between the parabola y = x² – 4x, the x-axis, and the ordinates x = -2 & x =...

A: Here we have to find the total area between the parabola y=x2-4x, the x-axis and the ordinate x=-2 a...

Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x ...

A: We will use limit definition to find derivatives of given function. Since , we know that f'(x)=limh→...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: For the function defined as follows, find all values of x and y such that both f, (x.y) = 0 and f, (...

A:   Differentiate partially with respect to x and y to get the solution