A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.

Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

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Q: 1. Calculate the Integral sin x cos x dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: For the given functions, find (f o g)(x) and (go f)(x) and the domain of each. 7 f(x) = 9(x) = 1-4x ...

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Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

A: Find your answer below 

Q: Find the point on the graph of z = 3x2 – 3y? at which vector n = (48, –60, –2) is normal to the tang...

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

A: Follow the procedure given below.

Q: Find an equation of the tangent line to the curve at the given point. y = 9e* + x, (0, 9) y =

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Q: Find the plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+...

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Q: Sketch the graph of a possible function that illustrates the combination

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Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

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

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Q: The position of a particle in the xy-plane at time t is r(t) = (t+ 2) i+ (t +5) j. Find an equation ...

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Q: Given f(x,y) = x-y-3xy³. Evaluate fdx O 14y-27y3 +C 6 O -6y³ + 8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x...

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Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: Perform the indicated operation: (5+2i)-(3-6i)

A: Given (5+2i)-(3-6i)

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

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

Q: A) True B False

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Q: ,if x>2 Find the correct value of bb that makes

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Q: Function g is graphed below. Select all correct statements about g at x = 3 a. Both lim g(x) and lim...

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Q: Miscellaneous Operation on Complex Numbers 1.-22+1 2.(2 + i) 3.cos h(i)

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

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Q: sin? 2x dx 1+cos 2x

A: solution:-∫sin22x1+cos2xdxwe know thata2-b2=a+ba-bsin2θ+cos2θ=1sin2θ=1-cos2θ=1+cosθ1-cosθ  

Q: Given the differential equation y" - 6y' 16y = 5x 2 Find the Characteristic Solution for the Left Si...

A: We have to find out the characteristics solution

Q: of the derivative (long method/ increment method) to following functions. 7a) 7b)

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Q: D. Given the following polar equations, find the eccentricity and identify the type of conic; write ...

A: We know that the polar form of a conic with directrix x=±p and the focus at origin has form: r=ep1±e...

Q: 2,1 1,25 2,25 3,78

A: Explanation of the solution is given below...

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x)= -7x. f a) Find the domain of f, g, f+g, ...

A: The domain of f(x) is the set of all possible values of x for which f is defined.

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: In this calculus question, there is a shadow length question that deals with a 6 foot man walking at...

A: Follow the procedure given below. 

Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

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: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)...

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Q: Given the characteristic solution y(x) = C,1-2 + C,r-3 Set up your Particular Solution, then use it ...

A: We have to find out

Q: Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, J...

A: Here we can verify the answer as below.

Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass co...

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Q: Find the point of intersection of the lines given below and then find the plane determined by these ...

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Q: dy (13) 2+ 3y = 3x²e¬3* dx

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Q: Three numbers are in the ratio of 2:5:7. If 8 is subtracted from the second, the resulting numbers f...

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Q: Evaluate: cotxdx

A: Given:        ∫cotx dx     =∫sinxcosxdx   substitute u=sin x→dudx=cos x→dx=1cos xdu       =∫1udu

Q: I. Find dy -and simplify the result whenever possik dx 1. у%3Dsec3 2х - 3sec2x 2. y = sin (x + 4 ) c...

A: Given; 2) y=sin(x+4) cos(x-4) 3) y= -3 cot5(x/3)/5 + cot3(x/3) -3cot(x/3) - x.

Q: 5) a) Use Euler's method with step size 0.2 to estimate y(0.4), where y(x) is the solution of the in...

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Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a leve...

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: 1 Suppose that L is a location function of an object, given as L(t) We will compute %3D - 4t +7 inst...

A: We have to find the the limit at t=7.

Q: f(x) = x² + /7 – x, a=4

A: We have sove limit and showing function

Q: Given the equation below. Give what is being asked. |(-1+ tanx) dx = atanx + Bln|secx| + C %3D Find:...

A: Given ∫(-1+tanx)2dx=αtanx+βlnsecx+C  To find  α-β

Q: dy +Zy =0 du

A: Given: dydx+2y=0   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where 'a' is the constant....

Q: = 2x2 + 2y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 6...

A: Let x=rcosthetha and y=rsinthetha  So, x2 + y2 =r2  So, r very from 0 to √3