Use Partial Fractions x* + 3x? – x – 8 dx x3 + 4x

Q: Using the method of undetermined coefficients, what is the modif ied form for a particular solution…

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Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: [[(u + 1)e-(•1)dA; R= {(r,y) :0 s r s1, –1 <y s1} R

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Q: PROBLEM 11: 0, 0 6. a) Write the function in terms of the unit step function ua (t). b) Use the…

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Q: Find the derivative of the function. 11) y = cos x4 A) dy -4 sin x 4 B) dY - sin x4 dx C) dy - -4x4…

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

Q: Find the flux of F(x, y, z) = 4а, 32 + 2?, across the positively oriented surface 2 S given by R(u,…

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Q: 11. y = x + x

A: Given

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: Find the particular solution of the differentlal equation that satisfles the Initlal condition(s).…

A: First integrate and satisfied given condition

Q: sin(n) is conditionally converger 4. Determine whether the series E-1 absolutely convergent, or…

A: We have to find the series test

Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

A: Question- Write an equation of the form y=a sin bx or y= a cos bx.  to describe the graph .

Q: rcos(x) V1- t2dt d (32) Find the derivative: dx 1

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation

Q: 1 m ... 2 m 4 m The flat surface shown is submerged vertically in water. Find the fluid force…

A: Use formula of fluid force

Q: 2-the region bounded by y= .the x- axis.x = 2 and x = 3 is revolved about the y-axis find the volume…

A: The region bounded by y=1x, the x-axis, x=2 and x=3 is revolved about y-axis.

Q: 5. Which graph below represents the function f(x) = (x - 2)(x +1)(x + 2)? Explain your answer. Graph…

A: Given function, f(x) = (x-2) (x+1) (x+2) To be found - Graph of function

Q: Solve and graph the inequality. Give answer in interval notation. -3< - 3x59 O A. (-1,3] O B. [-3,1]…

A: The correct answer for above question is

Q: (27) Evaluate the integral: 1 IP: 5t + 4)2.7 dt

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Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

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Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan…

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Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tan x, cos…

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Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

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Q: 7. A(2,–3) and B(5, 1) are two points in R². Determine the following: a) AB b) |AB| c) a unit vector…

A: We can solve this as follows:

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: Find the first term and the common difference for the arithmetic sequence. Round approximations to…

A: Use formula of arithmetic progression

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

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Q: Write an equation for the polynomial graphed below 5+ 4. 3. -2 -3 y(x) = %3D 2) -2

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Q: Supply the missing integrand and limits of integration. (3x² – 2xy + y³) dx dy = .dy (36–4y)dy (56–…

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Q: find p, when it converges

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Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: CHECK YOUR PROGRESS 2 Define a relation C from R to R as follows: For any (x, y) e Rx R, (x, y) E C…

A: Concept: Domain and range : The domain of the relation is the set that contains all the initial…

Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: Graph the conic section. 36x? - 4y? - 216x +24y + 144 = 0 O A. OB. Oc. OD.

A: Given: 36x2-4y2-216x+24y+144=0

Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the…

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Q: : The vectors a and b span R°. What values of m and n will make the following statement true: (2m +…

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Q: A right triangle has side lengths 3, 4, and 5 as shown below. Use these lengths to find tan M, cos…

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Q: Let f(x) =- 9x2 Determine the intervals on which f is increasing and decreasing.

A: Given: f(x)=x44-2x3+9x22 To find out if a function is increasing or decreasing, we need to find if…

Q: Decide whether or not the equation has a circle as its graph. If it does not, describe the graph. x2…

A: equation of circle

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

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