Evaluate the following limit by direct substitution. Enter the exact answer. Lim (2x² - 1) x→5 = Number =

Q: Determine the number of equations and the number of variables in the following system of linear…

A:

Q: Find the inverse of the matrix B = B-1 = ab sin (a) Use B x = 1 di sin (a) f to solve BT 8 f ?х = 8…

A:

Q: D a + x a-x u = (x) (p)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Let f(x)=√2+2x f'(5)= -2 X

A:

Q: If a function, f, is continuous at a number a, then (select all statements that must be true.) Of(a)…

A:

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. 3 f(x) =…

A: we need to find out the intervals where the function is increasing and the interval where the…

Q: y" + 4y = 3x cos(2x)

A:

Q: solutions. 1. 2x6x53x4 + 2x + 5, 2x - 3

A:

Q: Q2. Let w = xy ln(xyz). (a). Find w дх '

A:

Q: 9. Domain, range, and period of sine, cosine, tangent functions. 10. List the features of the…

A: "As per our guidelines we  can answer only 1 question so kindly repost the remaining questions…

Q: 1₁ 6 √3-4x - 4x² dx

A:

Q: Solve the equation by using any method. Rationalize the denominator, if applicable. 7 12 8180…

A:

Q: Utilize the definition of the derivative to prove that (sinx) = cos x

A: To prove (sinx)' =cosx using the definition of derivative.

Q: (B) sec (√2x+3) (C) sec (√2z+3) 1 (D) sec (√2z+3)* Given that y = In [sec (√2x + 3)], find the…

A:

Q: f(x) = = -6 x + 3 3 3-x+6 if x < -5 if -5 < x < 5 if x ≥ 5

A:

Q: True or false and why? Explain. The linearization of f(x,y) = 5 + 7x + 3y at any point (a,b) is the…

A: To determine whether the following statement is true or false.The linearization of at any point is…

Q: Find a formula for f-¹(x) and (ƒ−¹)'(x) if ƒ(x) = = √√: f-¹(x) = (ƒ-¹)'(x) = x-6

A:

Q: SHOW COMPLETE SOLUTION I. By integrable combinations, solve the following equations. (x³ + y)dx-(y²…

A: given differential equation

Q: d) lim √2-x X-2+ 4 e) lim (¹2) x-3x-2

A:

Q: 27. y = x²(1 - In x²)

A: To find the derivative of the following function.

Q: Find the first and second derivatives of the function. y = e²xsin(5x) 5e²xcos (5x) + 2 sin (5x) e²x…

A: given

Q: Intervals of Increase and Decrease and Local Extrema Answer the following questions using the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the integral 4x² + 2 x² − 3x + 2 J dx

A:

Q: Find the value D(3), where D is defined below. D(t)=3t−4

A: To find D(3) , substitute t = 3 in D(t)

Q: Find the derivative of the function. y = cot² (sin 8) y' = -2 cot sin (0) csc (sin(0))².cos(0)

A:

Q: Intervals of Increase and Decrease and Local Extrema Answer the following questions using the…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3 Write the equation of the tangent line to function f(x) at x = -5 if f(-5) = 6 and f'(-5) =

A:

Q: Find the following derivatives. z and Z₁, where z = 5x + 5y, x= 4st, and y = 5s + 6t Zs (Type an…

A:

Q: A 5-th degree Taylor polynomial of a function f(x) at × = 0 could potentially have the form (select…

A: A polynomials are given.The aim is to find the  degree Taylor polynomial of a function  at .

Q: Find the derivative of the function. y = etan(e) y' =

A: find the derivative of the given function

Q: Find [(42³ + 3x²) da dx + C

A: The given integral is

Q: at (x, y) = (1, 2) and z² = x² + y² if. dt = 9 and dy dt = 2.

A:

Q: Consider the indefinite integral U x6 This can be transformed into a basic integral by letting (x7 -…

A: we need to find out the intergation.

Q: The limit lim g(4+h)-g(4) h is equivalent to: (i) The derivative of g(-x) at x = -4 (ii) The…

A:

Q: Find the limit. sin(2x) lim X→0 9x

A:

Q: Find a formula for ƒ¯¹(x) if ƒ(x) = = (²+1)* ƒ-¹(x) = (-¹)'(z) =

A:

Q: 1 Find the area between the graph of x = y² and the y-axis on the interval [1,4]. -0.5 4 3 2- 1 0 Y…

A: to find the area between the curve x=1/y^2 and y axis in tge interval [1,4]

Q: Find the derivative of the function. 1 + x 1- x y' = y = arctan

A:

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A:

Q: A region bounded by fly) = y, y = 2, y = 6, and x = 1 is shown below. Find the volume of the solid…

A:

Q: Find the derivative of the function. f(0) = cos(8²) f'(0)

A: We have given We have to find the derivative of the given function.As we know from chain rule that…

Q: Find the limit: (h-5)²-25 lim, 0 Ꮒ h-10

A:

Q: -6 +3 -x+6 if x ≤ - 5 if -5 < x < 5 if x ≥ 5

A:

Q: Given the following functions: f(u) =tan(u) and g(x) = x³. Find: f(g(x)) = f'(u) = f'(g(x)) g'(x) =…

A:

Q: Problem 10 on this image is what I am trying to get answered.

A:

Q: he vector v = , is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).  Find a.

A:

Q: 12. The position function of a particle is given by s(t) = 2t³ - 6t² + 37t + 1, where time, t, is in…

A:

Q: Approximate cos(1.5) using a quadratic approximation:  First note that cos(1.5) ≈ cos(pi/2). Let…

A:

Q: 4- x dy = (y + x cos² (²))dx X

A:

Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2, 0)

A: