find the slope of the tangent line to the graph of flx)= 2x at (5,3).

Q: 1 – x2 + V1 – x2 In|(sqrt(1-x^2))-1|+c -In|(sqrt(1-x^2 ))+1|+c -In|(sqrt(1-x^2))-1|+c In|(sqrt(1-x^2...

A:

Q: Find the divergence of the vector field V(x, y, z) = –5xi + (y + 2 cos(x))j+ (12z + e*x») k. (Give a...

A:

Q: 2. Use the previous item to determine if the improper integra 2.x – x3 dx (x – 1)² (x² + 1) - conver...

A:

Q: 2. (x² – y²)³ = 3a*x? %3D

A: Differentiate both sides of the equation with respect to x.Then solve for the derivative of y with r...

Q: Find an equation of the line that is tangent to f(x) = x and parallel to the line y = 3x + 1 (Hint: ...

A:

Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

A:

Q: Evaluate the following limits. + Vw)(2 – w² + 3w*) 1. lim (1

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: (a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magn...

A:

Q: Find the value of x that satisfies the following equation (2x – 5yi) + (y + xi) = 8-7i В. 4 А. 2 С. ...

A:

Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: The function below is an evaluation of which integral? * 3 (z° + 16) +c 48x3 Vo2 + 16 dæ 16 da Optio...

A: Since you have Posted multiple questions as per guidelines we can solve only one question at a time,...

Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS (d...

A:

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How ...

A: Solution ) a) s = 225 ft , initial velocity u = 0 According to newton motion equation  s = ut + (1/2...

Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

A:

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the v...

A:

Q: tanwdw The is equal to 1- tan?w A. In (Vsec2w) + C B.In (Vsec2w) + C C. In (Vsec2w) + C D. In (Vtan2...

A:

Q: use the Monotone Convergence Theorem to show the sequence In! converges and find its limit.

A:

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also us...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (...

A: Given problem:-

Q: Find the limit algebraically. 2x lim 16 -x - 4 O - 16 O 16 O -8

A:

Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following...

Q: 2. SOLVE THE GIVEN SYSTEM OF LINEAR EQUATIONS BY GAUSS-JORDAN METHOD. 3a + 4b + 3c + 5d = 23 2a + 3b...

A:

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r 2. lim 5" ...

A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...

Q: h) f(x) = Write your answer in simplified factored form. %3D

A:

Q: .......n....... ..... Sketch the regions enclosed by the given curves. y = 2 cos(4x), y 2 sin(8x), x...

A: Given problem:- Sketch the regions enclosed by the given curves.   y = 2 cos(4x), y = 2 sin(8x), x=0...

Q: Given that k# 1 and the roots of the equation =k are a. B and 7. use the substitution z = (x-2) to o...

A: Roots

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: Given: Mx,y,z=The strength of the magnetic fieldMx,y,z=12x-y2+xz+210                                ...

Q: Fo, and then find xo = In9 a?(x + In9)² 2! a (x + In9) 4! In9)? a^(x – In9)4

A:

Q: Pls help ASAP. Pls show all work and calculations. Pls keep in mind to use high school equations and...

A:

Q: Let y(x) be defined implicitly by G(x, y(x)) = –9x7 + 12y + e" = 0. Compute - in terms of x and y. (...

A:

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.45x + ...

A:

Q: Q2. a) Write the explicit formula for the nth term of the sequence below. 4, 6, 10, 18, 34, ... b) W...

A: Find your answer below 

Q: Hint on Problems 4 and 5 below: The surface on the top of the region is z = 3y², and the surface on ...

A:

Q: Consider the following functions. f(x) = x and g(x) = |x| %3D Step 2 of 4: Find (f - g)(-2).

A:

Q: 19. Consider the parametrization of the unit circle given by c(t) = (cos t, sin t). (a) Verify that ...

A: We have to verify that c is parametrized by arc length and show that the curvature k of c is constan...

Q: If f(a)= 3x3-X, find the values Of X for which f'(k)=0

A: Given f(x)= 3x³-x So, f'(x)= 9x²-1

Q: In constructing an open rectangular box from 768 ft of material, what dimensions will result in a bo...

A:

Q: Let A = and B = , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point ...

A:

Q: For the function G(x) = 3 – x, find G(-6), G(u), and G(u) . G(-6) = (Simplify your answer.)

A: For the function Gx=3-x2, to find G-6, Gu, and Gu2.  

Q: Given: sin a = and cos x = - 13; evaluate the following expression. (A: Quadrant I, x : Quadrant II....

A: We have,  cosx = -1213 Formula Used:  cos2x = 2cos2x-1 To evaluate: The value of cos2x

Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

A:

Q: Hind the valve of a and b that make f Continuous evergehe overyuhere fex) = sacs Itb ?f I<X Cos e

A:

Q: Find the DE whose general solution is y = Ae Bx A. yy" - (y')2 = 0 B. yy" + (y')2 = 0 C. yy"- y' = 0...

A:

Q: Consider the following functions. f(x) = x and g(x) = x2 – 10 Step 4 of 4; Find -(-2).

A:

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: 8x+ x-8x+10 3. 2 dx x(4x-4x+5)

A: To find out the integration of the function.  

Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). -3 -2 -1 0 ...

A:

Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...