• 2b 26² – 12 2a2 dx a³ +b?x+3x²+3b² - - Evaluate

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Find the volume of the solid generated by revolving the area bounded by x – y? + 4y – 4 = 0 and x – ...

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Q: What the twice amount of 375.00 dollars

A: The objective is to find the twice amount of 375.00 dollars .

Q: 6 The coefficient of sin( 2x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not ...

A: ∫cos6(x2)dxsubstitute u=x2→dudx=12→dx=2du=2∫cos6u du=2[cos5u.sinu6+56∫cos4u du]=2[cos5u.sinu6+56[cos...

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A: Please refer to the image below

Q: An exponential function has a growth factor of 1.07. What is the percentage growth rate?

A: Let's understand with the help of an example. Let salary of a person increases by 25% per year and i...

Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t L...

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

A: Given query is to find the value of the integral.

Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship...

A: Find your answer below 

Q: 2. Sketch the region whose area is given 25 by the definite integral Jo V25 – x² dx and then use a g...

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Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

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

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Q: Question 13 bx a dy dx 0.

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Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: 20 -1 3. sin

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Q: For ques. 9, use Wallis' formula po. Question 9 Evaluate: " sin" cos* (*) CoS

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Q: 9 dx dy y² 0. 2

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Q: The integral of t2ln t with respect to t is; 13 A -(In t- 3) +C B none of the given choices -(3In t ...

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Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 3 ft/sec aw...

A: We can find the required answer as below.

Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.

Q: Determine all critical points for the function. f(x) = 20x3- 3x5

A: Topic:- calculus

Q: Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or diverge...

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Q: Determine all critical points for the function. f(x) = x2 + 6x + 9 %3D

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Q: xsin-xdx The antiderivative of -V1-x2 sin-!x +C A True B) False

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Q: 1. Find the function f(x) if f'(x) = 3x² – 2.x +5 and f(0) = 5 %3D

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Q: Find the total area between y = x'/3. - x and the x - axis for -1 sIs8.

A: Follow next step

Q: Determine f'(1) if f (t) = log10,ti t+1 17 Your anSwer

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Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

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Q: Find the intervals of concavity and inflection points of the function. (Give your intervals of conca...

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Q: Amy raises ducks, and she takes their eggs to the farmers' market to sell. Today she collected 19 do...

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Q: da 3. S algebraic substitution (x-3) Va-4

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Q: x3 2. J Sadx 2. 3.

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2...

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: What is the remainder when 3x* +3x - 5x - 5x +7 is divided by x+ 2i ? а. 12+3i c. 34 + 12i b. 8-25i ...

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Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos( (x)...

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh )(tanh a+/Ð) + 2 csc-' (tan(y + 1))

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Q: For the Limits of Logarithmic Function, we should consider that limx→a ln g(x) = ln g(a) where g(a)...

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D

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Q: 2x + 4, a<4 om the following results, determine whether the function f(a) = { 8, a = 4 -x + 16 a 4 i...

A: Given query is to find function is continuous or not at x = 4.

Q: 1. S 4x-5 dx - partial fraction 2x2 +4x-6

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Q: dy Find using implicit differentiation, for the equation x° + y° = 10 is da %3D y7 y5 y5 o O O O

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Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the...

A: This question is based on application of derivative.

Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...