Given z₁ and 22, find the midpoint. Z₁ = −9+4i and Z₂ = 7 - 6i [?]+[] i 2 Enter

Q: Use your graphing calculator to solve the equation graphically for all real solutions 2³-6x²+x+28 =…

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

Q: Find T (t) and N (t) for the curve r(t) = ti + cosnt j + sinnt k.

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Q: Find the limit: lim1 [(x-1)(x+2)/(x-1)]

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Q: Find the vertical asymptotes of the function r(0) =tan(0-4) in the interval 0≤ 0 ≤ 2. Number of…

A: rθ=tanθ-4

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: Evaluate the integral (by interpreting it as the area between two curves) 1 |x³ — x| dx

A: Here we can see the graph will have a turning or inflation point at 0. Therefore, the integration of…

Q: Question 9 Find slope of tangent line to y = 2x² -3 at x = -1 O-4 0-7 01

A: given y=2x3-3

Q: Find the interval of convergence of n=2 (x-4)" In (5n) (Use symbolic notation and fractions where…

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Q: This question is not about solving the stated problem, but about understanding it. A company's…

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Q: 6. Solve the equation. Write the solution set with exact values give approximation to 4 decimal…

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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 minimum value of w = x² + y² + z² subject to the constraint x + y + z = 18. W =

A: Here the given objective function is w=x2+y2+z2 subject to the constraint x+y+z=18.   Required :…

Q: a) The rectangles in the graph below illustrate a ? [0, π]. The value of this Riemann sum is -pi/2 5…

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Q: Part A: Find the area of S. Part B: Find the volume of the solid generated when R is revolved about…

A: Solve the area first then we shall find the volume of solid.

Q: i

A: According to Demoivre's theorem, cosnθ+isinnθ=cosθ+isinθn where n is any integer.

Q: A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company…

A: Fixed cost= $350Cost per mug=$3

Q: 19-

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Q: Determine the sum of the following series. 1" + 5n Σ(¹+*) 7″ n=1

A: To determine the sum of the following series. ∑n=1∞1n+5n7n

Q: 13. Find the absolute maximum and minimum values of the following functions. (a) * f(0) = sin(0)…

A: Since you have asked multiple questions in a single request so we will be answering only first…

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

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Q: A 30-gallon tank initially contains 15 gallons of salt water containing 3 pounds of salt. Suppose…

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Q: how do you find 87=a+b+c for x^2 and -3a-5b+2c=190 for x

A: The solution is shown in step-2

Q: Describe the long run behavior of f(x) = -xº As a →∞o, f(a) → ? ✓ As a →∞o, f(a) → ? ✓

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Q: For the following exercises, find functions. 175. y=x²-secx + 1 176 177. y = x² cotx 179. y = Sec.x…

A: Use rule of differentiation (u.v) form  and (u/v) form as I have done in solution

Q: Approximate the area under the graph of f(x) = 0.01x¹ - 1.69x² +99 over the interval [8,12] by…

A: Given: f(x)=0.01x4-1.69x2+99   The interval is [8,12]   We are required to find: The area under the…

Q: Evaluate the integral by changing to spherical coordinates. 200- x² - y² 10 6⁰ 6 13333.3 100 - x² X…

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

A: Given data : f(x)=1x Intervals given x = 1 and x = 5 To find an area for two and four rectangles.

Q: 3. The axes of two right circular cylinders of equal radius 36 cm intersect at right angles. Find…

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Q: Find of S. (5.2. (5x + 4y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

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Q: Find əx A) at the point (1, 2, e7) for ln(xz)Y + -43 2 B) ~ + 3y³ = 0. 43 2 - 1/13 43 D) 433 2

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Q: Given the differential equation y"-4y= 2e-t-6e¹t, y(0) = 0, y'(0) = -1 Apply the Laplace Transform…

A: y''-4y=2e-t-6e4ty(0)=0y'(0)=-1

Q: Find the derivative of each of the following functions, 99 . f(x)= (1+x+x²) ⁹⁹ f(x)= 99(1+x+x²) 98…

A: To find out the derivative of the function,  Note that as per the rules we are supposed to answer…

Q: Write the equation in spherical coordinates. (a) 5x² - 2x + 5y² + 5z² = 0 (b) 2x + 5y + 3z = 1

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Q: Find the limit. Use l'Hospital's rule where appropriate. If there is a more elementary method,…

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Q: Consider the following function. ₂-5x²2 - 2y² + 20x g(x, y) = e (a) Find the critical point of g. If…

A: The given function is:g(x, y)=e-5x2-2y2+20x

Q: Convert the point (x, y, z) = ( − 3, 3, 5) to cylindrical coordinates. Give answers as positive…

A: (x, y, z) = (-3, -3, -5)

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A: f(x) = ln(4x)         Domain : 0<x≤7

Q: For each of the conservative vector fields below, find a potential function f. (1) F = 6yzi + 6xzj +…

A: a) To find a potential function f for the conservative vector field F = 6yzi + 6xzj + 6xyk, we need…

Q: Solve the following DE: y" = 3[(y)² + 1]

A: Differential equation

Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a) (8, π/4,…

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Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: To find out the value of the machine after 6 years from now.

Q: 8. Evaluate the limit by using a change of variable. 1 X6 1 d. lim x→l_x³ Vx 2 x4 √x³ - 8 e. lim 1…

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Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a)…

A: Since you have posted multiple question. As per guidelines we are supposed to answer only first…

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

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Q: b) fe ô e +6x+6/ + 3) dx =

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Q: Find derivative of y = 2*

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Q: Determine whether the statement is true or false. True False •[º [F(x) If f and g are continuous on…

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Q: Solve the following questions using ODEs. 1. x2y″ - 5xy′ + 9y =0

A: PLEASE NOTE:  According to our company guidelines we are directed to solve only one at a time .…

Q: Determine whether the statement is true or false. True False If lim f(x) = 1 and lim g(x) = ∞o, then…

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Q: open interval(s) B. The function f is increasing on the open interval(s) C. The function f is…

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