x+4 dx Vx 6. 7. 4Vx + 2xVxdx 8. (x2 – 1)*dx

Q: Let fit)=F(t), where F (1) = 41-– 5r°+5t_ Evaluate the following integral using the Fundamental Theo...

A: From the fundamental theorem of calculus; If, dFxdx=fx, then  ∫abfxdx=Fxab=Fb-Fa   Given: ft=F't, Ft...

Q: A linear function is given. Complete parts (a)-(d). Ay 10- g(x) = - 3x + 4 8- 6- 4 (a) Determine the...

A: The equation y=mx+c represents a line, where m=slope and c=y-intercept.g(x)=-3x+4a) m=-3   slope is ...

Q: 1 dx = Blank 1 1+ 8x Evaluate the Definite Integral

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Q: Let v = (5,7). Which of the following is the direction of v? Arctan Arctan Arctan Arctan

A: Given v=(5, 7) We have to find direction of vector

Q: Find the area of the region bounded by y cos x, y = 1, and x =

A: Given curves are  y=cosx ,y=1 and x=π/2

Q: Using Pappus theorem, find the volume formed by revolving about the x- axis the area bounded in the ...

A: 2cy-x2=0 and x2-4cy=-c2To Find: Volume formed by revolving the x axis and the area between the parab...

Q: a | t. (a² – t²)®* dt 0.5

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Q: Which diagram correctly shows [4|? 4 units 4 units + 01 8 units + -4 4 units 4 units

A: To determine which diagram represents |4|

Q: Complete the sentence the below. If the point (4, - 1) is a point on the graph of f then f(-)= If th...

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Q: Find the equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the ...

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes th...

Q: 7 > k(2k + 1) с. k=1 7 2 7 k3 d. 4 k=1 k е. k=1

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Q: Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms...

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 5"...

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

Q: A rumor begins to spread in a population of 10,000 inhabitants thanks to the fact that a member of t...

A: The number of inhabitants in a  village =10000initial time, t=0 weekPopulation who heard the rumor a...

Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: List the interval(s) on which f is increasing. The interval(s) on which f is increasing is/are (Type...

A: Increasing Functions  A function is increasing when the y-value increases as the x-value increases, ...

Q: Sycos ydy

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Q: _12. x siny - y sin x = 0 _13. x cos y +y cos x = 0 14. tan?y – 2 tan y +1 =x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. tv 6t2 + 5 dt...

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Q: A drug response curve describes the level of medication in the bloodstream after a drug is administe...

A: Given: The function to model the response curve is St=AtPe-kt where t is measured in minutes. It is ...

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

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Q: Find the area of the surface generated by revolving the curve y = Osxs2/2, about the x-axis. 18' The...

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Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim e7x+2 X→-00 b. lim tan(Ttx) 1 4

A: Just take the limit and calculate them.

Q: An object moves along a horizontal coordinate line such that its directed distance from the origin a...

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Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: dx || +C

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Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: 13. Differentiate 1 3 y = 2x2 + 6x3 – 2x2 а. 2 6 b. у 3 —t 4 3 x2 3 x4 x2 'x3 y = sin³ [cos(tan(3x –...

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Q: Find the area of the surface generated by revolving the curve x = 9y +1; 0 < Y< 12 about the y-axis....

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Q: Find the limiting value of upper sum approximations to the area of the region R below the graph of y...

A: We will find the upper sum approximation to the area of region R below y=2x in the interval [0,3] us...

Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

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Q: 5x² +1 dx2

A:     d2ydx2=5x2+1Substitute d2ydx2 with y'' ⇒y'' =5x2+1Integrating once we get,⇒y'=53x3+x+c1Integrati...

Q: A trucking company transports goods between two cities that are 960 miles apart. The company charges...

A: The load is fixed: C(x) is a constant based on the rate for an interval  

Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: The table below shows total attendance at NFL football games-, In millons. Year 2015 2016 2017 2018 ...

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Q: III. Given f(x) x+4 do the following: a) Find f-1(x) (if it exists). b) Determine the domain and ran...

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Q: Find the volume of the solid generated bounded by x = Vy – 1, x = y² – 2y + 1, rotated about the x- ...

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Q: Activity 1. Find the derivative of the following trigonometric functions and simplify if possible. B...

A: Note:as per our answering guideline we can allow to solve only subparts so please repost another sub...

Q: Find the area of the shaded region. y 2 x = y -9 y= 1 /x= e -10 -8 -6 -4 -2 2 4 Hy = -1 -2

A: To find the area of the given region.

Q: 3x-4x+1 if x + 1 if x = 1 3. Given the graph of the function f(x) = complete the table. X-1 Differen...

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Q: fx*In xdx 34

A: The objective is to evaluate the integration.

Q: Question 15 Without any computation, find the values of sinx dr = Blank 1. Blank 1 Add your answer

A: As sin x is an odd function.

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per request Solve d, e and f part only

Q: The amount of a new allergy drug, nalamox, decreases by 26% every 4 hours. (a) Determine the 5-hour ...

A: Given: For (b), So, for 1 hr decrement in % is 26/4=6.5%. For (a), For 5 hr the change factor is 26...

Q: x+4 dx Vx

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Q: List the values of x at which f has a local minimum. Select the correct choice below and fill in any...

A: Lowest points of all ,after that function start increasing is called local minima.

Q: Suppose that f(x) = 7x - 2 and g(x) = - 2x +7. 104 (b) Solve f(x) > 0. (d) Solve f(x) s g(x). (a) So...

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Q: Column A 1. xy = 2 3x²y – x = 5 3. 3y(y – 10) + 24x = 0 4. (x - y)? = x + y - 1 5. 2/xy = 3 x+y = X ...

A: We will use simple differentiation rules to solve this question.

Q: • y=3 •x= /9– y² Consider the integral (2² + y?)*/*dæ dy. - 3 Jx=0 a) Using the bounds of integratio...

A: To solve the following integral using polar coordinates