Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. x2 - 9x +20 7x3 +19x? B

Q: x² + 49 Given f(x)= , g(x) = x – 7. Determine the domains of (x) and g(x). %3D x + 7

A: domain of function is where function is define here  f(x) = (x2 +49)/x+7) here if we put x = -7 then…

Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p5-y y dx dy 3y

A: the solution is as follow

Q: 1 The domain of the function f (x = e VI-2 js O a) [2, 00), or, equivalently, {x > 2}. O b) (2, 00),…

A: Consider the function  f(x)=e1x-2

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A: Given:    Equations is given

Q: dx 1- cos 2x

A: The given integral is ∫dx1-cos2x Now,        cos2x =1-2sin2x       ⇒  1-cos2x=  2sin2x…

Q: 5. [ +4x+3 x4 –5x2+4

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Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(1​,−1​),…

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Q: (t – 1,t 2

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Q: Compute the directional derivative and gradient of f(x, y, z) = 4r – yez at (2, -1,0) in the…

A: Given: fx,y,z=4x-y2e3xz       at     2,-1,0 Directional Derivative = Gradient of function x unit…

Q: Let 7(t) = Find '(t) F (t) =

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Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Find the area between y = 3 sin a and y = 7 cos a over the interval [0, 7]. Sketch the curves if…

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Q: Find the indicated derivative. f (x) = x° sin x; find f(4)(x).

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Q: Evaluate the triple integral (x + 2y) dV where E is bounded by the parabolic cylinder y = 7x² and…

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Q: Find the indefinite integral. sinh(6 – 7x) dx

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Q: -S Integrate the fallswing funChinin ver the given re R: y24x-x and yex

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Q: Find a unit vector that has the same direction as the vector a and the opposite direction of the…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: What is the minimal degree Taylor polynomial about z = 0 that you need to calculate sin(1) to 3…

A: Now, the series of sin (x) is: sin x=x-x33!+x55!-x77!+...sin (1)=1-13!+15!-17!+...

Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: he traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 800t – 180t, where t is…

A: Given query is to find the number of cars between 6 to 8 am.

Q: 3.1 Prove: For all a and B in R, Ja + B] > | |a| – |B||. Hint: la + B] = |a – (-B)|-

A: Answer is in below steps.

Q: Express the sum in sigma notation.-1/6+1/7-1/8+1/9-1/10

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Q: Activity 2. Using U Integral of the following. 1. S sec?x dx 2. S Substitution or Integration by…

A: As per bartleby guidelines we only give first question answers.

Q: 3 (x + h)³ – a³ lim h0 h

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Q: Determine the series' radius of convergence and interval of convergence: n-1 n | 1) n5" n=1 00 2n 2)…

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Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth…

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: Using u = 2 + 2x*, then the integral x³(2 + 2x4)3 dx becomes 1 u3 du- 8 This evaluates as 1 1 8 12

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Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

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Q: Could the following vector field. F. be conservative F(z,9) = (6z" cos (y), 4y²cos (z)) Select the…

A: Given vector field Fx,y = 6x4 cos(y), 4y3 cos(x)

Q: Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x)=…

A: Given functionf(x)=xx-4

Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

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Q: A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks away from…

A: Given problem:- A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,      fx=78x-5, -1≤x≤3

Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: dy Find for the curve: x dx :4 cos t, y = 16 sin t, 0<t < 2T

A: We have to find dy/dx for the given function

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: Yes the series is convergent. It's sum is 2/5. See below the calculation

Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: S, f(2)dx+ f(x)dx = 21. 23. S f(G)dr + J, f(x)dx =, = <p(x)f f – xP(1)f !!

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Q: Compute the derivative of each function. (4x + 1)²] cot (5x) f(x) = ln

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