1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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A: Here, the given function is: g=12tx-0.2t2-10x2   ....(1)     (t<10) where g is the score student ...

Q: secx 7. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

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Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

Q: At which point(s) is the function shown discontinuous? Select all that applies. O-1 O1 02 04

A: The graph of a discontinuous function cannot be made with a single stroke of the pen, i.e., once we ...

Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: S- V3e2x - 2e-2x VZe-2x +C Arcsin 2/3e2x - 2e-2x +C 2x +/2e¬4x +C 2/7 O 12 -Arcsin 3e2x +C

A: ∫e-x3e2x-2e-2xdx Solution :∫e-x3e2x-2e-2xdx ∫e-xex3e2x2-2dx 12∫132e2x2-1dx let ,32e2x=t32e2x2dx=dtdx...

Q: sec? x 4 dx- Evaluate 1-tan x O 2 O -2 O -1 O 1

A: The given integral,        ∫0π4sec2x1-tan xdx

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A: Area of circle is πr2 and area of equilateral triangle is √3/4a2  

Q: *tan(e-x) Given: et Find: du e*dx O -e*dx O -e-*dx e-*dx

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0. ...

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second co...

Q: 4-x lim x-4 Vx-2

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Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

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A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

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Q: X- S- V3e2x - 2e-2x dx VZe-2x+ /2e-4x - 3 +C 2/2 2/3e2x - 2e-2x + C V2e-2x +C 1 -Arcsin 2 V3 -Arcsin...

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Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of th...

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Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

Q: Find the shortest distance, d, from the point (4, 0, -4) to the plane x + y + z = 4. d =

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Q: 2. Use the limit definition of derivatives to find the expression for f'(a) for the function 1 f(x) ...

A: Here ,               We have given a function now we have to solve it by using definition of limit f...

Q: What is the maximum value of f(x) = x³ + 3x2 -2 ? %3D Answer:

A: Solution: f(x)=x3+3x2-2 find the maximum f(x)  

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Q: Given: 5e-x-6e-3x Find: u 5e-x - 6e-3x O 5e2x – 6 5e¬x-6e-3x O 5- 6e-2x

A: topic - indefinite integral

Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: sec3(In x) + sec²(In x) tan(In x) dx Given: 2x Find: du V sec (In x) + sec²(In x) dx tan(ın x) dx ta...

A: On solving this we will get

Q: Approximate the integral to three decimal places using the indicated rule. 308 -dx; trapezoidal rule...

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Q: A community had an initial population of 6000 people in 1990. (a) First assume that the population ...

A: NOTE: Refresh your page if you can't see any equations. . the population decreased by a constant 100...

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

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Q: 3 1 y = log| cos DIFFERENTIATE THE GIVEN:

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Q: What values of x make 3(x – 5)(x – 12)(x + 5) = 0? If there is more than one answer, enter your answ...

A: Topic = Algebra

Q: Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00...

A: Using the Taylor Remainder theorem, the value of x is |x| ≤ 0.861

Q: Determine the value of x of the discontinuous function: * x – 1 x 3

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп ...

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Q: A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thous...

A: A(t) =integration of R(t) dt  Amount for three years put t=3

Q: 3 х 1 (x² – 1

A:

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

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Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

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Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys " 2

A: Given: x=8sin(y), 0≤y≤π2

Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the e...

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Q: Graph the function f(x)=−4x2f(x)=-4x2 and draw the tangent lines to the graph at points whose x-coor...

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Q: 16. Explain the squeeze theorem using any example of your choosing.

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Q: Using diliferentials, determine the appropriate O a. 47.1 cm3 Ob.314.2 cm3 OC 15.7 cm3 O d. 539.5 cm

A: Given query is to find the the change in the volume of sphere.

Q: Find the area of the shaded region in the given graph.

A: This question can be solved using the concept of area under curve using definite integral.

Q: A paint store sells 270 pails of paint per month at a price of $32 each. A customer survey indicates...

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