Evaluate the following. Show solution using the basic formulas.

Q: Write the partial fraction form of the following expression: -7 x²+15x+56 Note: You are not asked to...

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Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: Find the integral: log2 X dx In(2)/ 082(x) + C 2

A: Put logx = u then solve it. 

Q: Given the equation below. Give what is being asked. a sin3xsin2xdx = Find: a + B,where a <0

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Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential judg...

A: This question can be solved using the concept of selecting r objects from n given objects when the o...

Q: 7. There is aremovable discontinuity at x = 1 andf(1) = 4

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

Q: plve y - 4y = (x – 3) sin 2x, the method of undetermined coefficients.

A: We are asked to solve the differential equation.

Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus

Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² – ...

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

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Q: 16. The first derivative of the function f is given by f'(x) = 3x* – 12x'. What are the x-coordinate...

A: Given: first derivative of a function as f'(x)=3x4-12x3To identify the points of inflection of x-coo...

Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: b) f(x) = -log2(2x + 3) – 3

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Q: SxVx? – 9dx

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Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: Use a definite integral to find the area of the region between the given curve and the x-axis on the...

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Q: Given a differential equation rx" +21?x" - tx +x= 1212. Show that +c2t+c3t Int + 41² is a solution o...

A: We need to prove the differential equation.

Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: HOW DO YOU SEE IT? Using the graph of f, (a) determine whether dy/dt is positive or negative given t...

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: (b) (c) yA

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Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx. (Ro...

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Q: Subtract in the indicated base. 11012 1102

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Q: Using the fact that y1(x) e* is solution of the second order linear %3D homogeneous DE (7+ бх) у" — ...

A: First we find y2 (x) then find y(x) using initial conditions. 

Q: Two forces, with magnitudes 10 N and 15 N, act on an object at 40° to one another. Determine the res...

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Q: %3D In this exercise we want to r sin(z) cos(z) dx I)SO ( UIS I Hint: Preview My Answers

A: Solved below

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

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Q: Find the limit or indicate that it does not exist. lim t→L 5 i+ 4 sin i+ t k cos tan Select the corr...

A: limt→πsint2i+cos54tj+tan53tk

Q: Given the differential equation ty" + 5 ty' - 12y = cot(t) Find the Characteristic Solution for the ...

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Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: ) Indicate (i.e. check) all labeled points at which f(x) and f′(x) are both nonzero of the same sign...

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Q: Let f(x)={x2+2x+1, if x≤3 ax+b,if x>3 Find a and b such that the function f(x) is differentiable e...

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Q: The shape of y shifted right 3 units and shifted down 4 units.

A: Follow the procedure given below.

Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

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Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

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Q: 1. Determine the ORDER, DEGREE and LINEARITY (Yes or No) ORDER DE d² ds t2 - -t=1- sin(t) dt? dt x*y...

A: since we are given with the multiple number of question and our guideline is solve first question on...

Q: . A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a solid...

A: Given: A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a ...

Q: 16 13. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the t...

A: Given that: r=165+3cosθ

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies alon...

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Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: For the given functions, find (fo g)(x) and (g o f)(x) and the domain of each. 1-X f(x) = 4x , g(x) ...

A: topic - composite functions

Q: some items may need simplifying 21 1. .f(x) = [(x² – 9)Vx+ 2]|

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