Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

Q: What is the derivative of f(x) = 26 (12.1)* + 8 (0.56)* +1 ex with respect to x? f '(x) =

A: topic  -  derivative of exponential function

Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) y y 4 4 2 X -4 ...

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Q: prove that tanx V secxsinxtanx

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Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. x(1+Vx) D...

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Q: Evaluating Definite Integrals Use the results of Equations (2) and (4) to evaluate the integrals in ...

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Q: Consider the function on the interval (0, 2x). f(x) = sin(x) cos(x) + 7 (a) Find the open interval(s...

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Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

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Q: Solve the following equations, showing all work and clearly communicating your process by stating wh...

A: The given equation,     3x2+4x=127

Q: colutions to 7sin 2 r tan z on [0, 27). 2 er in terms of n, as needed. Do not enter a decima enterin...

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Q: Use the properties of logarithms to expand the following expression. yz log Each logarithm should in...

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Q: Let f(x) = 2tan(x)/x. Find the following: f'(x)= f'(4)

A: We have to find the derivative and its value at x=4.

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results 

Q: 2y 4. у'+ х+1 = (x + 1} %3D

A: 4) Here we have, y'+2yx+1=x+12 Compare with, y'+yp(x)=q(x)  

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos² x

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Q: Given f(z) = Arg(z+ 1), find all points at which f(2) is continuous. For a point of discontinuity, d...

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Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: The graphs of the tunctions f and g are shown below. It u(x) = f(g(x)), tind u' (5). 3 6

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Q: prove that tanx V secrsinxtanx

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Q: S S cos (y³) dæ dy 0 < x < y? and 0<y<1 4 decimals

A: The double integration of cos(y3); 0&lt;=x&lt;=y2; 0&lt;=y&lt;=1.

Q: For the following primitives, identify the number of essential constants.(x and y are the variables)...

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Q: cosx * sin? (3x) 2 2. lim x→0 x2

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Q: Compute the value of the following improper integral. If it converges, enter its value. Enter infini...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: du The integral S- reduces to S k, where u = f(x) and for some constant k . Compute f(1). e*+1 e +1 ...

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Q: Evaluate ft da 22-r-6 O a. 4ln r 3+ In r+2 +C O b. 4ln r+3- In a+2|+C c. 4ln a-3- In r+2 +C O d. 4ln...

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Q: Initially, 20lb of salt is dissolved into 100 gallons of fluid in a large tank. A salt solution with...

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = 3t + ...

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Q: 2) Water is being drained from a container which has the shape of an inverted right circular cone. T...

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Q: du Compute f ) CSC X If u = f(x), then dx sin x - cos x %3D B 1 -1

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Q: Determine the end behavior of the graph of the function. m (x) = -2(x-2)(3x+1)°(x+4)* As x→-00, m (x...

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Q: 8 6. Evaluate E n(3 + 2n + n2) n = 1

A: ∑18 n(3 + 2n + n2 ) if n =1 1(3 +2 +1) = 6 if n=2 2(3 + 4 +4) =22 n =3 3(3 + 6 +9) = 54 n =4 4(3 + 8...

Q: Find the sum of the series: п (п - 3) n=5 or conclude that it diverges. A) 0. 11 B) 3. 13 C) D) E) D...

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Q: Evaluate the following. (Give an exact answer.) (x, y, 2) dS x² + y² + :2 f(x,y,z) : %3D x² + y? S: ...

A: The value of the given integral is 64/9

Q: 6. What algebraic process will you use to find the intercepts (a and y) of f (2)? Find the intercept...

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Q: b) Find the maximum volume that such a box can have.

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Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0. ...

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +...

Q: tan' sec? 그dr 26. 28. 7 dr - 10

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Q: Using u-substitution, the integral S f(x)dx reduces to a new integral S g(u)du. If g(u) = ' evaluate...

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Q: Last month, Kaitlin's average daily balance on her credit card was $1,950.77. The annual interest ra...

A: minimum payment on the card is the interest charge plus 2% of the ending balance or $25, which ever ...

Q: 2. Find five arithmetic means between 12 and 21-6.

A: let a1=12 the five arithmetic means be named as a2,a3,a4,a5 &amp; a6 a7=21.6since it is arithmatic s...

Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Decompose the function y = (2-2x*)³ in the form y = f(u) and u = g(x). (Use g(x) = 2 – 2r*.) Provide...

A: In this question we have to find the value of x and y.

Q: I. Solve the inequalities and write the solution in interval notation: 1. 2x +3<7x- 23 2. -8< 2x - 5...

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Q: x2 f(x) Let k(x) %3D x+2 Find k' (-1), given that f(-1) = 3, f'(-1) = –1.

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Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the...

A: Here we have to find out the area bounded by given parameters curves

Q: 3 find the limit if it exists .If it do esn't exist, explain why. lim 13+x| X-> -3 2(34+X)

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Q: xp 7.1. 4x²-4x+5

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Q: 8lnk k k=3 WI

A: Follow the procedure given below.

Q: A Plane flies 320km due West and then 240km due North. W- ►E 320 km 240 km

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Q: Verify that wxy = wyx for w= In (4x + 5y). W. ху Wyx Compare wxy and wyx. Choose the correct answer ...

A: Given query is to find the correct option for partial derivatives.