Let f(x)=√x (a) Find the linearization of f(x) at x = 8

Q: Use finite approximations to estimate the area under the graph of the function f(x) = 24-x² + 2x…

A: area under curve is find by calculating integration of function.

Q: Use cylindrical coordinates. Evaluate √x² + y² dv, where E is the region that lies inside the…

A: Change the integral into cylindrical coordinate and put the limit from given information...as I have…

Q: Let f(x)=x²-12x+3. Find the critical value for f(x). We want to find the absolute extrema of on the…

A:

Q: List the points in the xy-plane, if any, at which the function z = 7+ (x + 5)² + (y + 3)² is not…

A:

Q: A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 2cos(t) for…

A: Given : v(t) = 2cost The average value of a function v(t) on an interval [a,b] is given by the…

Q: Question 1 2 The expression O True 3 4 4x +9 16x²-81 5 simplifies to 1,, where ** 4x+9 44 O False of…

A: Let, f=4x+916x2-81 f=4x+94x2-92 f=4x+94x+94x-9 f=14x-9≠14x+9

Q: A population of squirrels grows exponentially at a rate of 4.6 percent per year. The population was…

A: I am attaching an image so that you understand each and every step.

Q: (a) Find the average value of f(x)=25−x^2 on the interval [0,4]. Answer: ____________________…

A: We need to find the average value of the given function on the interval [0, 4].

Q: Evaluate the given integral by changing to polar coordinates. 16. cos(√x² + y²) da, where D is the…

A:

Q: 18. Suppose f(x) is the function whose graph is plotted below. 1 0.8 -0.5 0.6 0.4 0.2 Identify which…

A:

Q: 1 1. y= 2. g(x) = x² + √ 3. Evaluate 12 - sin x 1² x² sin x³ dr

A:

Q: 43. 45. 47. 49. x² + x + 2 (x + 1)(x² + 1) S 2x² + 5x + 5 (x + 1)(x² + 2x + 2) √(x - 1)( dx 20x 13…

A:

Q: Evaluate A) Na dw - at t = 9 for the function w(x, y) = eY - ln x; x = t², y = ln t. dt B) C) 7 a Na…

A: To evaluate dwdt at t=9 for the function wx, y=ey-lnx; x=t2, y=lnt.

Q: Suppose that the value of a yacht in dollars after t years of use is V(t)=250,000e^(−0.22t). What is…

A: To find out the average value of the given yacht over the first 7 years of use.

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A:

Q: A population of squirrels grows exponentially at a rate of 4.6 percent per year. The population was…

A:

Q: 4. Write the logarithm as a sum and difference of logarithms. Simplify each term as much as…

A:

Q: Compute the curl of the vector field F = (x³, y³, 24). curl(F(x, y, z)) = What is the curl at the…

A: F→=x3, y3, z4

Q: A particle moves in a straight line with velocity 10 2t ft/s. Find the total displacement and total…

A:

Q: f(x, y) = ln(10x – 9y), (8, 4) A) •i+ 44 44 B) + 11 이 -i- 22 9 44 D) •i + 11 11

A: For a function f( x , y )  Gradient of f( x , y ) is given by grad f( x , y ) = ∇f( x , y ) ∇f( x ,…

Q: #55) 8 k=1 Σ In/k+2) k+1

A:

Q: (3x² + 16xx +16x²) dy du

A:

Q: (-3,3)- x = 2y-y² X

A: We use Horizontal strip to evaluate the area

Q: Evaluate the indefinite integral. [x√3-x² dx

A:

Q: Find the average value of the function f(x)=−6sinx on the given intervals. a) Average value on…

A: A function,

Q: Use the derivative to find the vertex of the parabola. y = -x² - 4x +4

A: y=-x2-4x+4

Q: i already figured out the answer to the first question and really just wanted to find the process by…

A: Part 2,             Ms=1+ss2-3s+22Part 3,             yx=234x

Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 6 y(x) = G₁e (x) + G₂e…

A:

Q: Construct and graph the cubic Bézier polynomials given the following points and guidepoints. a.…

A: The end points information implies that x0=1, y0=1,x1=6,y1=2 The guide point for x0,y0 is given by…

Q: Find the first few coefficients. Co C1 C₂ = C3 || C4 || || || The Taylor series for f(x) = e* at x =…

A:

Q: Consider the following. 3 In(5x) = 10 (a) Complete the table to find an interval containing the…

A: Consider the following. 3 ln5x=10 (a) To complete the table to find an interval containing the…

Q: What form do planes perpendicular to the y-axis have in cylindrical coordinates? B) r = a sec 0 C) r…

A: A plane perpendicular to the y-axis intersects the y-axis at a point and is parallel to the…

Q: Evaluate the indefinite integral 3y¹4 √5 + 3 dy

A: ∫3y14y5+5dyLet y5+5=x2on differentiating5y4dy=2xdxon substituting the value in above…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5-x, 3≤x≤5

A: y=5-x

Q: The demand function for a particular vacation package is p(x)= 3,000-43√x. Find identifying the…

A:

Q: Find the area of the region inside the circle r=-6 cos 0 and outside the circle r= 3. The area of…

A: r=-6cosθr=3  Find the point of intersection of the curve -6cosθ=3cosθ=-12θ=2π3, 4π3

Q: Find the position function of a particle that travels along the x-axis for t >= 0 with acceleration…

A: Accelaration at=8t-5

Q: Find the critical numbers of the function f(x)=2x³-3x² - 72x -3 -2 -4 3

A: Explanation of the answer is as follows

Q: Find dx dt dy dt dx dy dt dt = 11 = and dy dx x = 5t 5ln(t), - y = 8t² - 8t-2

A:

Q: 2 ƒ²π pπ/4 ƒ². ² (³ cos o) o² sin o do do de 0 0 0 A) 1944T B) 2048 9 T C) 17 D) 250,000 9 π

A: There is a spherical coordinate integral given.

Q: Evaluate the triple integral: 3-3x 3-3x-y ² dz dy dx 0 0

A:

Q: Find an equation of the line tangent to the graph of f(x) = (4x − 3)(x + 6) at (1,7). The equation…

A:

Q: (2) For what value of c does y = cz + have a relative minimum at x = 2? ? (4) (C)0 (D) 2

A: To determine the value of c for which the function y=cx+3x2  will have a relative minimum at x=2.…

Q: A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown.…

A: Given that, a trapezoidal plate with height = h, Bases = a, 2a, and the weight density constant = δ.…

Q: The half-life of uranium-232 is approximately 68.9 years. (1) What is the decay constant, A, of…

A:

Q: m #10: Consider the following function. g(x, y) = e5x² + 8y² + 10√√6 x (a) Find the critical point…

A: We have to find the critical points  of the  given function.

Q: Solve the given initial-value problem. X' = 1 2 1 0 H|N X, X(0) = (²)

A:

Q: Match the following integrals with the solid whose volume it represents. A. T B. T C. T π/2 [*/²…

A: Here given that some integral that represents the volume of solid . Now we find the volume of given…

Q: 10. * Below you are given the graph y = f(x). The linearization of f(x) at x = 4 is graphed as well,…

A:

Q: 7) f(x, y) = ex

A: