Q5 \ Find a root of an equation Bellow by using Bisection method Where the accurate to at least within 10^-3, interval [1, 2] on the .3 f(x) = x³ + 4x² - 10 = 0

Q: 3. I Graph of f Graph of g The graphs of the functions f and g are shown in the figures above. Which…

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Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…

Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: 5. Solve by using power series: y' = xy. Find the recurrence relation and compute the first 33…

A: To solve using power series.

Q: The length of the curve r = sin² for the period 0 ≤0 ≤π is 6 O 2 O 8 O 4 O O None of them

A: Use derivative and length of curve formula for polar curve.

Q: ODE. Find the general solution of the following. Show complete solution 2. (x - 2y + 3)dx + (x-3)dy…

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Q: The sum of the geometric series Two (n=2 4n+1 n=0 5n-2 is

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Q: 7. Obtain the MacLaurin series representation of f(x) = In(1-x).

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Q: Solve the given initial-value problem. X (x + y)² dx + (2xy + x² - 2) dy = 0, y(1) = 1 + 6xy²-6y=1

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Q: 1 4. First, make a substitution and then use integration by parts to evaluate [Hint: Use the fact…

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Q: The recommended minimum credit card payment for a sample of 100 credit card holders is summarized…

A: To find the mean, median, model class and skewness.

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A: In this question, we want to compute the length of the curve.

Q: √x+1 x-0 In (x + 1) Evaluate lim Select one: a. The limit does not exist. O b. 0 O c. 1 O d. 1/2

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Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: For a given cylindrical tank, the radius is 7 m and the height is 15 m. The tank is filled to a…

A: Use workdone formula for finding the work

Q: Obtain the general solution to the equation. dx y dy + 6x=5y

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Q: Problem 3. Solve below definite integrals In(x) (e) (²) dr. (d) In(r) dr. * -dx, 23 Т

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Q: Using implicit differentiation, find dy dx √xy = − 1 + xy

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Q: True or False: We have Select one: O True O False 0 8 √√xdx = 12.

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Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: 8 mi P 4 mi

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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 10…

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Q: Find the area between x-axis and the curve defined by   y=2·x2−6·x on the interval [0‍,4].

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Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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Q: Here are some patterns made from sticks. 8 8 Pattern 1 Pattern 2 a) Complete this table. Pattern…

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Q: Docking a Boat A boat is pulled toward a dock by means of a rope wound on a drum that is located 3…

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Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: L[-te-at * u(−t)]:

A: Solution given below

Q: The geometric representation of the equation is a circle in R3. Select one: O True O False -3x²-3y²…

A: Given: -3x2-3y2=-18

Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A: Solution given below

Q: On the moon, all free-fall distance functions are of the form s(t) = 0.81t², where t is in seconds…

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Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

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Q: y = N|XW --- - 6x 1 <x<1

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Q: A cell phone plan charges $48.25 per month plus $14.06 in taxes, plus $0.20 per minute for calls…

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Q: 4677×34677

A: 4677×34677= 162184329

Q: Please solve the bottom question.

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

A: The given data is: What will the flow rate be in milliliter per hour for vancomycin lg/500 mL IV, if…

Q: (9) The differential equation M(x, y)dx + (2ye* + y²e³x) dy = = is exact if (a) M(x, y) = e2x y² +…

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Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…