dy Find using implicit differentiation, for the equation æ4 + yt = 7 is dæ O O O

Q: Find the area of the triangle with vertices P(1,6, -5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the exa...

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Q: A closed right circular cylindrical tank made of s inch thick metal has an outer radius of 2 ft and ...

A: solution:-(1)outer radius, r=2 ftheight, h=6 ftouter surface area of cylinder= 2πrh+2πr2            ...

Q: Find the integral. S(-x8+ 4)6x7 dx (A -56(-x8 + 4)+C 8 1 (-x8 + 4)7+C 56 D

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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: За—11 dx - partial fractic 2x2-a-6

A: We will solve the problem using partial fraction. 

Q: a. V3cosxcscx = 2cosx

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Q: Find the Taylor polynomial of degree 3, centered at a O for the function f(z) = VI+5. %3D

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Q: Obtain a family of solutions for the following First-Order Differential Equations. 2(2x2 + 2y2 )dx –...

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Q: x'dx 1. Integration by Parts f Vx4-5 dx 2. Algebraic Substitution f (x+2)vx+1 3. Trigonometric Subst...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: Given problem:-

Q: An air-freshener starts with 33 grams and evaporates over time. In each of the following cases, ente...

A: We need to write formula for Q in each case and find change in B

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

A: Given area is bounded by x=y and x2=2ay.  To find: Moment with respect to x=2a.   From x=y We get th...

Q: sin°(x)cos*(x)dx 2, 4

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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: For the following functions, determine , Je Je and se e, f(r,0,z) = r(1 – cos0) – z For the followin...

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Q: 2x +7, a 7 conclusion. (i) f(7)= 14 (ii) lim f(x)= 21 (iii) lim f(x)-21 (iv) Justification Answer=

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Q: For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts.

A: Given: For every 100 ticket buyers at a concert, The band expects to sell 27 T-shirts.

Q: 1/V3 dx 1+4x2

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Q: Question 13 Evaluate the integral J sinh? (2x)cosh(2x) dc sinh“(2x) +C A sinh(2x) +C B 9 costf(2x) +...

A: Use the derivative identity, ddx(sinh(ax))=acosh(ax) And the power rule of integration is: ∫xndx=xn+...

Q: 1. Evaluate the definite integral S ,2 C (9x² + 5)dx by the limit definition.

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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: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

Q: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

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Q: Evaluate the Integral / tanh (u) du .

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Q: Solve the following incqualities x > x

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Q: d²y dx2 5x2 + 1

A: Given :d2ydx2=5x2+1

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter y...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: 2 Find fx) + 2g(x)]dxif / F(x)]dx = 5 and / [g(x)]dx - 3. 1) In order to evaluate this integral, use...

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Q: 2х dx dx 1. *) (x - 2)2(x + 2) 3. x(x2 + 1)2 2x? + 1 2. (x – 1)(x – 2)(x – 3) dx | |

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Q: Find the area of the region between the parabola y = 9 - x² and the x-axis. Round your answer to thr...

A: We can find the area as follows:

Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: Evaluate the Definite Integral cos'y dy = Blank 1 Note, the answers should be three decimal places o...

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Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: Let fit)=F(t), where F(t) = 412- 5t + 5t Evaluate the following integral using the Fundamental Theor...

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Q: If f(x) = 5 cot 'z + 10, then find the value of f'(-8) is, -8 65 65 -10 V65 65 O o

A: Given the function

Q: Consider the following. f(x) = 6x3 – 9x? – 108x (a) Find the intervals on which f is increasing or d...

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Q: S tan8xdx

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Q: If f (x) =2x³+6xr- 2, then what is f'(1)? %3D

A: Solve the derivative of the function for given value

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

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power...

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Q: Find the area between the curves y = x² + 1 and y = x + 1.

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Q: Decide whether the integral is improper. 6 dx 5 X O proper O improper Explain your reasoning. (Selec...

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Q: Pind the total area between y = x/3- x and the x- axis for -1 <xs8. %3D

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Q: Find the area of the region between the parabola y=64-x and the x-axis. Round your answer to three d...

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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: y = 1.

A: answer of given question is in step 2

Q: A potato is launched vertically upward with an initial velocity of 111 ft/s from a potato gun at the...

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Q: For the function F(x) = -x* +2x + 63, complete the following parts. (a) Determine whether Fis even, ...

A: f(-x) =f(x) so function is even.  Follow step 2nd . 

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given ∑k=1∞56k+2=∑k=1∞56k562                              =2536∑k=1∞ 56k This series can expressed i...