Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) - f'( − 1) = □ (Type an integer or a simplified fraction.)

Q: Calculate the divergence of the vector field F=x²y³z¹i-xyzj+(x+y+z) k

A:

Q: Let x = [X₁ X2 X3]. Find the matrix A such that the system x' (t) = Ax(t) + f(t) is equivalent to…

A: Here is the solution of the given problem. Differential equation to system of differential equation.

Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: Solve. 1. Find the equation of the family of curves whose slope at any point (x, y) is 3x. 2.…

A:

Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: dr 2√x+3+x d. ·S e. dx x√4x + 1 SIV f. dr x√4x²+1

A: These questions can be solved using integration by substitution.

Q: Include intercepts and restrictions. Show all calculations.

A:

Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If s(t) 813 122-48t6, where t2 0 represent the position of a particle traveling along a horizontal…

A:

Q: Andy and Donald are both running toward the soccer ball during a game. Andy's path is represented by…

A:

Q: VII. - ) Let C be the curve consisting of the line segment from (0,0) to (2,0), the the portion of…

A: Given that a curve consisting a line segment from (0,0) to (2,0) and a portion of circle from (2,0)…

Q: The integral represents which quantity? O the total mass with density F O the length of the curve C…

A: Solution

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

A:

Q: Convert the Cartesian coordinate (-4,-2) to polar coordinates, 0≤ 0 < 2π r= 2√5 Enter exact value. 0…

A: We need to find polar coordinates.

Q: i) n=1 1 1+2+3++n j) 1 n In n(ln(Inn)+1) k) 2" +n n!+1 n=1

A:

Q: Given the triangle to 4 decimal places. x = 23 x 33° 30° find the length of side x using the Law of…

A:

Q: S₂ 10 x 4x²8x +9 in14 (x-1)² +51 + √5 tan¹ (²²) + C Option 1 In 14 (x-1)² +51 + √5 tan¹ (2x = ²2) +…

A: SOLUTION-

Q: 4) A manufacturer has determined that the total cost C of operating a factory is C = 0.5x^2 + 15x +…

A: Given, total cost C of operating a factory is C = 0.5x^2 + 15x + 5000  where x is the number of…

Q: Set up the triple integral that will give the following: : 0≤ x ≤ 1,0 ≤ y ≤ (a) the volume of R…

A: Given

Q: SxVx² √x² - 4 dx

A:

Q: Use integration by parts to find the following integral. 1 4x+5 dx X b 4x + 5 + Su dv = f dx. What…

A:

Q: Find each derivative. f(x) = ln sin x COS X y = cos(x² - 2x-8) g(x)=e-In(cos.x)

A: The answers are given below: Topic : Differentiation using chain rule

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

A: The given differential equation,    xy2y'2+yx4-1y'-x3=0

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

A:

Q: 4. Evaluate 12x+1 dx 5. Evaluate dx x 6. Evaluate 3x -¹ dx

A: Let's solve given integral.

Q: 4. Evaluate 12x+1 dx 5. Evaluate dx X 6. Evaluate [ 3x -¹ dx

A: To find the value of given integrals .

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Concept: Initial value problem: An initial value problem is a difficulty in determining a function y…

Q: Answer it correctly, neatly, and comprehensively.  Written answer only.  A rectangular box with…

A:

Q: What is the f(7) (-4) of g(x) = 2 205x53x¹ +9x³ +9² +2x+1 ? - 6 O 1/3 0 0 O-4 O 240

A:

Q: For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the…

A: Slope= df/dx

Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: The function satisfies the…

Q: 1. y ecos(-2x) =

A:

Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

A:

Q: ) Approximate ſ*^*In(y +1)dy with a midpoint Riemann sum using three equal subintervals. 1

A:

Q: hich among the sets is open? (,1) 1/n.....1/3,1/2,1}

A: Open sets are those sets which does not include the indicated values.

Q: Question 17 The integral represents which quantity? the total mass with density F the length of the…

A: We need to choose correct option.

Q: 8+6.4+5.12+... Which one of the following is the sum of this infinite series? a) 40 b) 35 c)…

A: topic- geometric series

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

A:

Q: There are 30 emoticons. If 15 of the emoticons show hapinnes, 10 show confusion and 5 show anger,…

A: The answer is given below:

Q: Find the missing value that makes the following a factorable trinomial. Explain the process you used…

A:

Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

A:

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: If s(t) = 4t³ - 6t² - 24t + 5, where t> 0 represent the position of a particle traveling along a…

A:

Q: 1. Be the data set according to the following table of values: On a coordinate plane, plot the data…

A: topic- exponential function

Q: 3. Set up the iterated double integral in polar coordinates that gives the volume of the solid…

A: We have to find the volume of the given in polar coordinates.

Q: 1-1 flood

A:

Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

A:

Q: Which point is farther from the line that passes through both P and QR or S?

A: We have to find which point is farther from line PQ.

Q: d. dx 2√x+3+x

A: Given,∫12x+3+xdx