Show that the following equations have at least one solution in the given intervals, rcos t 2x² + 3x-1=0, [0.2, 0.3] and [1.2, 1.3] a.

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Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: Evaluate T 2 sin(2x + 3)dx = None of them 0.9989 0.9899 -0.9899 1.21 -0.9998 -0.9989

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Q: 1. ƒ'¸ (3 - 2x)³ dx

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Q: Find the general solution of the following differential equation. y" + 15y + 56y= 0 NOTE: Use c, and…

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Q: Evaluate the given function for f(x) = x² +1 and g(x) = x - 4. a) f(4)-g(3) _ ƒ(2) b) g(-1+h)-g(-1)…

A: Solution: f(x)=x2+1 g(x)=x-4

Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: 1. A line passes through the points A (7,-4) & B (-5, -2). Find a vector equation of the line. [x.y]…

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Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: 5. 2x-1 4x - 1 dx

A: We can solve this as follows:

Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another…

A: The mean value theorem states the following: If f(x) is continuous on the closed interval [a,b] and…

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. -5…

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Q: Solve using matrices.   5x−y−6z=2 9x+y− z=5 9x+y−5z= 7

A: Here we will solve given system of equations,

Q: 0.10.9062cos (1-√√3x) d x 6 DL 11 2

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Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

A: Let's solve for taylor series.

Q: Find the general solution of the following differential equation. y" +10y' +26y = 0 NOTE: Use C1, C₂…

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Q: Consider an object moving along a line with the following velocity and initial position. Assume time…

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Q: Evaluate the following integral: SS², 2*x+yz dadydz

A: Solution given below

Q: Find the area bounded by the given curves. y = x², y = 2x² - 3x A. 9.0 sq. units B. 40 so units CAF

A: We have to find area

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Q: X 3- Ssin ² x dx ។

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Q: で 34 2- 1- 2

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: Evaluate [cos² ydy a. 1/2y + 1/4sin2y + c c. 1/2y + 1/2sin2y + c b. 1/4y + 1/2sin2y + c d. 1/9y +…

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = x…

A: Solution given below

Q: Integrate the function r3 So³ x² e ²x both analytically and numerically. For the numerical…

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Q: A triangle is placed in a semicircle with a radius of 6ft, as shown below. Find the area of the…

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

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Q: Let a be a real number. Evaluate the following integral: y+1 So fix + y dxdy y-1

A: ∫0a∫y-1y+1 x+ydxdy this is given  we have to find double integration  here first we have to…

Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A: Given that : An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of…

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: I need to solve the integral

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Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: 4.5 √√w + 10√w³dw W

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

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

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Q: Q3.16 the emetric. curve pour you are given. cartesian form y = f(x). Dont have decimals in your…

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Q: 1. Determine the dot product of the two vectors in the diagram.

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Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

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Q: xy²dy=y³x³y(1)=2 3 3 ху

A: See the answer below

Q: 1. Find a result by using variable separation 101 b- y³y+x³=0

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Q: Exercise: Find the area 1. 2. of the region bonnetest bounded y= q x², x=0, x=2, x-axis. y=x²+₁,…

A: See this solution in below

Q: 1. y""-2y" - 15y' = 0

A: