Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y = x. x + 5 Number of answers: 2-

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A: Topic:- derivatives

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: Telescoping series is the series in which all but the first and last terms cancel out .

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A: Given: The present value is given by PV=k1+gta1+rt Formulas used: ddxxn=nxn-1ddxax=axlnaQuotient rul...

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Q: Evaluate the integral fR Tm dA, where R = [0,8] × [0, 8]. (Give you answer to three decimal places.)...

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Q: 4 3. A child wishes to color each of the six states on a map as shown. What is the minimum number of...

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Q: tanx dr 7.

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Q: Let A- {#, 7, x) and let R be the relation on A given by R (7, 7). (#. #)}. Prove or disprove reflex...

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Q: Determine whether a given function is homogenous or not homogenous: 1. f(x,y) = sin x 2. f(x,y) = x...

A: Since there is a mistake in third question i do first two question as per our company guidelines ple...

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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Q: 6 - Зх *b. f(x) = 5+ 6x

A: Accoriding to given "b" only solved :Given :f(x)=6-3x5+6x

Q: PLEASE USE  INTEGRATING FACTOR FOUND BY INSPECTION , NOT LINEAR , NOT HOMOGENOUS NOT ANYTHING. JUST ...

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Q: Calculate the integral approximation S12 for Si dz. 5+1

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Q: S Find the voleime of the solid generated by revolving the region baunded by the given lines Cnd cur...

A: Hint: Try Disk Method to find the volume.

Q: sec sec |tar xp xp Suea () 2asS

A: We put sec(π/x2)=u and differentiate both sides with respect to u .thus we get du and value of integ...

Q: xy+yz b) lim (xy2)-(0.0.0) x+y2+2

A: To find the limit: L=lim(x,y,z)→(0,0,0)xy+yzx2+y2+z2

Q: (b) Express the following using predicates notations with the least number of words: (i) Each intege...

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Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

A: P=2r+r(thetha) 

Q: 10) [ 5x (2 + 3x²)® dx

A: ∫5x2+3x28 dx Using Substitution u  =2+3x2du=6x dx⇒x dx=du6 ∫5x2+3x28 dx=∫5du6u8                     ...

Q: (1 – xy)-²dx + [y² + x²(1 – xy)¯²]dy = 0; when x = 2, y = 1

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given:   The area between the curves 2y=4x, y=4, 2y+2x=6 is       A=∫abfx-gxdx Isolate for 2y=4x    ...

Q: 7. e*-4e * dx A 2 C. + C 2 + C ex x + - - x +2 e * + C x - 2 e * +C C O E None

A: Here,               We have given an indefinite                             integral now we have to ...

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.     ∫∫∫xy+z2dV=∫-11∫24∫02xy+z2dxdydz=...

Q: 1. S(Vz5 + Vx ) de с 6 x2/7 +- 2. x5/6 +x³ +C 1 x3 + C 1 7/2 x3 + C х6/5 + - х3 + C + - O A О в O c ...

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Q: 12. Let R be the region of the plane R= {(r, y) : # 2 0 and ²+ y? < 2}. Describe R using polar coord...

A: Here, the given region is: R=(x,y):x≥0 &amp; x2+y2≤2

Q: This exercise should be done two ways: by hand and using technology where possible. Let 2 -2 з о -1 ...

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Q: function

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Q: 3. [xsechtr'dx 5. (secht2tdt

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Q: V lim x² – 9 X→3 x² – 4x + 3

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Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: d'y dy and dx 2. Find by implicit differentiation. dx? 5xy? = 1

A: The given function,    5xy2=1

Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About th...

A: Here, we need to find the volume of the solid generated by revolving the shaded region about the y -...

Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a h...

A: Angle of elevation

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 - In...

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Q: Prove or disprove without using horizontal line test whether the following function is onc-to- one a...

A: We have to check weather the function is one-to-one/onto

Q: 8) A company's demand equation is x - V 2000 - p² , where p is the price in dollars. Find dp/dx when...

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Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

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Q: Use the ALEKS calculator to evaluate each expressic Round your answers to the nearest thousandth. Do...

A: As we know that; The logarithmic properties; 1). logaxb=b·logax 2). logcab=logca-logcb   Given: (a)....

Q: Given P = R³S°T05 + R0.5 S sin(2T), what is P ƏR O 0.5R2 S T-0.5 + 2R0.5 S cos(2T) O 3R ST0.5 + 0.5R...

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Q: Find lim f(z) if 4x 1 472 < f(x) < + 3x for all z 5. T100

A: Apply sandwich theorem

Q: 1 1 lim X/1+ x

A: The given limit,       limx→01x1+x-1x

Q: et dx Ve²x+49

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Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: Given that ∫x34+4x+8xx2 3dxSolution:let ,x=u6dx=6u5du∫u6×34+2u6×12+8u6×12 u6×236u5du∫u92+2u3+8u3 u46...

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for al...

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: Concept- we have a given curve and we have to find volume by using the method of cylindrical shell.

Q: Watch the video on integrating an inverse trig function using trig substitution e before answering t...

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Q: Evaluate the indefinite integral. arctan dx

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find.