If f(x) = ax + b where a 0, then 1 dx = f(x) In |ax + b| + C, a, b, C e R. True False

Q: Rationalize hVx+h denominator:

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Q: A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the ...

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Q: If F(x) = | v16 – t² dt, evaluate the following: - 4-x3 а. F (2) b. F(2), by interpreting F(2) as an...

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Q: Find k so that (1,2,3) and (–k, 1 + k, 2) are perpendicular.

A: Using definition of dot product.

Q: Find the slope of the curve at the given point​ P   y=5−5x2​;        ​P(−5​,−120​).

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Q: In the interval [0, 7], the solution set of 2 sin? a – sin x = 0 is o {},풀} o {플,똥} o {), 중} o {플,증}...

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Q: What is / (7)* dx? S{(7)* dx = 7*-2 + C 2(In 7) S {(7)* dx = 7* + C (In 7) S{(7)* dx = + C 2(In 7) S...

A: Explanation of the answer is as follows

Q: 3+3x dx

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Q: III. Consider the region R below bounded by C1 : y = 2, C2 : y = 1+ 3 and C3 : 2y +x = 9. (1, 4) R (...

A: Here is the solution of the given problem. Arc Length Area bounded by horizontal strip  Volume revol...

Q: Evaluate the integral. (Use C for the constant of integration.) |(x* - 6x?3°x³ - 2x) dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: y 6. |y = f(x) 5 4 3 2 X + 7 8 1 6 9. Enter each answer as a whole number (like -4, 0, or 253) or DN...

A: From the visual interpretation of the graph, we get the required solutions.  

Q: 9. r = 6+2 cos 0

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Q: Let SN.N be the Riemann sum for f 5e*-y" dy dx using the regular partition and the lower left-hand v...

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Q: In ABC, a=11cm, b=17cm, c=19cm. The measure of angle C is _____degrees

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Q: Find the centroid of the region bounded by y? = 22x and y² = 44(x – 11). NOTE: Enter the exact answe...

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Q: The value of the triple integral | zdzdyda is b.- d.2rr2

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Q: Find all points on y-axis of the rectangular coordinate system that are a distance 6 from the point ...

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Q: apartment complex can rent all 150 of its one-bedroom apartments at a monthly rate of $450. For each...

A: Given query is to find find the rate of rent to maximize the rent collected.

Q: 6. Sketch f(x)=c/9-x² on the same coordinate plane for the following 1 values of c =-,÷,4. (Make use...

A: We have to sketch f(x)=c9-x2 for different values of c.

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the poin...

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Q: 3. Marlon sees his crush 120 ft to his east. He then runs eastward at 12 ft/s. If his crush is walki...

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Q: Šolve for n.ol ev 1 =-3 log, \o9, 8

A: Solution :

Q: log, y -log,(2-y)= 0

A: Use the logarithmic identities: logax-logay=logaxy            where x,y and a>0, and a≠1logax=y⇒x...

Q: 5x+2 1 = J %3D (3x+4)(x- 1)ax using partial fractions.

A: We can find the answer as below 

Q: II. Consider the region R below bounded by C1 : y = 2, C2 : y = 1 + 3 and C3 : 2y + x = 9. (1, 4) R ...

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Q: Solve the differential equation using Laplace transformation y" – 2y' + 3y = 2t²e3t where y'(0) = y(...

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Q: Solve: x =-1-V5x +19

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Q: Let R be the region bounded by the lines y=0, x=2-y and the curve x = √y . i) Find the area of the ...

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 4 — х — х* if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not exi...

A: topic - limits

Q: 2. 7ー dx - 2. 7-X 3

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Q: If a point A(-2, 8) is on the graph of a function f, find the corresponding point of the given funct...

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Q: Solve y" – 6y" + 11ly' – 6y =0.

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Q: 4 r = - 5– sin 0

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Q: n + 1

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Q: Determine the surface area of the part of z = 13 - 4x2 - 4y2 that is above z = 1 with x <1 and y <0....

A: Surface area:- The total area of all the faces of a three-dimensional object is its surface area. We...

Q: Given that F(x) = | (1-J1- (t+1)² ) dt evalvate the ff. 1.) F (0) 2) p'(SE) 3.) F () interpret as an...

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Q: Based on the image attached, solve the following:- (a) eliminate the parameter to find a Cartesian ...

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Q: Find the rate of change at which the reciprocal of a number changes as the number x increases. Find ...

A: Find the rate of change at which the reciprocal of a number changes as the number x increases. Find ...

Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your answer...

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Q: Find by implicit differentiation, and evaluate the derivate at the given point. dx 3. x - y = 0 at (...

A: 3) x3-y2=0 at -6, -14) x+y3=x3+y3 at -1, 1

Q: The approximate value of (8.02)2+ (14.97)² is a.17.02 b.15.65 c.16.98 d.18.35

A: We will find the approximate value 

Q: Question-5 The limit of a function is What the y-value approaches as the input x approaches some num...

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Q: (0,2) Given figure A on the left and curves: L1: y = 2-x2 L2: x2 + y? = 4 Ls: y = - 1 L2 L1 A Set up...

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Q: • lim f(x) = 2; • f(-1) = 4; : 1; • lim f(x) = 1; • lim f(x) = 0; f(x) has a vertical asymptote at x...

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Q: (b) lim→0 ē2a +1

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Q: If a point A(-2, 8) is on the graph of a function f, find the corresponding the given function: poin...

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Q: Consider the equation below. f(x) = x In x (a) What is the domain of the function? 1 (b) Find the in...

A: NOTE: Refresh your page if you can't see any equations. . the log function is defined for only posi...

Q: Evaluate log, /27.

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Q: Find the area of the shaded region below. y x = y² – 2 y=1 x=e> y=-1 Area =

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Q: Think-Pair-Share. Directions: Evaluate the following limit. Answer it individually. (x2+ 5x+6 1. lim...

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