Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

Q: Find an equation of the tangent line to y = 5 tan(x) at x =

A: Given problem:- Find an equation of the tangent line to y = 5tan(x) at x = π/4 .

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

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Q: Third degree, with zeros of -3,-1, and 2, and passes through the point

A: We have to find polynomial

Q: bxy + 2b°y²)(x dx + ydy)> xdy -ydx

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Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

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Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find. 

Q: x+ 4x2-9x-36 y = 4x2+28х+48

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Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

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Q: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: In | lim x |

A: We can solve the limit as below 

Q: A corner of a portrait oriented A4 sized coupon bond in millimeter is folded over so as just to reac...

A: Given: A4 size paper with dimensions 210 x 297 mm  (general dimensions) The corner is folded over so...

Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: (g) sin vt dt.

A: Intigrating the given equation. 

Q: Provide an appropriate response. lim f(x+ h) – f(x) Find the difference quotient, for the function f...

A: Please see the answer below.

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and ...

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Q: tan x sec xdx

A: Follow the procedure given below.

Q: ā xb = 6 x a а

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Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

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Q: 5. f(x) = In(x + 5) – 2 Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= x→-5* lim f(x)...

A: Given : f(x) = ln(x+5) -2 To find : Domain, Range, Equation of Asymptote, and End behavior. 

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 ey =x? - y? y' = y' (3,0) =...

A: Let's find. 

Q: (у?- бу+1) dу y-3

A: ∫un du=un+1n+1+C

Q: sinh(2 In(c)) = %3D (A) + 2 1 (B) c² – (C)- (D) c – ! 1 - c2 (E) 0

A: This question is based on hyperbolic sine function and linear approximation of a function at a point...

Q: Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x ...

A: Please see the solution given in step 2

Q: Express the repeating decimal as a fraction. 0.101010...

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Q: z=ye^(xy) - e^(xy) sin x +xy, find əzləx * O y^2 e^(xy)-e^(xy) cosx-y sinx e^(xy)+y y^2 e^(xy)-y sin...

A: Topic = Derivative

Q: 3\k-1 Determine whether the series E=1l-) 4 converges and if so, find its sum. 7/2 4/7 714 5/7

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Q: graph of f(x) =÷ at the point ( 1,-). %3D

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy-12=0, ...

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Q: Use implicit differentiation to find y' and then evaluate y' at (-3,1). x2 - 9y = In y ... y' =D y'l...

A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1

Q: 6x+5x-1 lim X--1 7x-2

A: Topic = Limits

Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

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Q: A model for tumor growth is given by the Gompertz equation = a (In b – In V) V where a and b are pos...

A: Given:  A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

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Q: The measure of each interior angle of a regular hexagon is

A: Measure of interior angle of regular hexagon

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

A: Series  convergence and divergence 

Q: For which positive integers k is the following series convergent? Σ (n!)2 (kn)! n = 1

A: We have to find the value of K so that given series converges. 

Q: Evaluate the definite integral from 0 to 1,  x^29e^-x^(30) dx

A: follow next step

Q: Write the first five terms of the sequence, give the exact answer: +oo In+11) n=1 Determine whether ...

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Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet...

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Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: Determine whether the integral is convergent or divergent. The integral from 0 to 9, 7/(x-1)^1/3 dx ...

A: The integral is  ∫09 7(x-1)1/3dx

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

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Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: 12) In Problems 12 through 14, given [ xa ]'= a xa-1, where a is any real exponent. =(x-1) =. Find A...

A: According to bartleby guidelines I can only answer the first question only question (12). Please rep...

Q: 4t2+3t sin t 2. lim t 0 t2

A: