20- 18 16- 14- 12 10 Co 8 6 4 2 1 Estimate the instantaneous rate of change at x = 1

Q: Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

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Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+ + 4 16 +

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Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: 4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0.…

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Q: A new product has just come onto the market and is a big hit. The success, however, does not last…

A: This question can be solved using the concept of maxima and minima.

Q: ind the given inverse Laplace transform. 1 (7.3.20 s² +65 +10 a. e-³tsin(t) 5. e³tsin(t) C.…

A: Finding the inverse Laplace

Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Topic = Vector

Q: Problem 1: At what points is the function y = form. 2x²+10x+12 x²-5x continuous? Write your answer…

A: In this question, we want to know the points (in the form of interval) at which the given function…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: x=2y-3 and x=1+4y=2y². (-5,-1) x=2y-3 x=1+4y=2y² 2 0 (1,2) 2

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Q: lim x-1 2x³ +3 3x² + 1 - 3x + 2

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Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

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Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find the…

A: Topic = Limits

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Use the gradient of function for finding the directional derivative.

Q: For the regions A and B shown in the graph: Part A: Discuss the limits of integration. Part B: Set…

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Q: Which of the following is a relative maximum of f? 1/5 5/6 A. (²2) ¹ c. - (²²) ³ √3 B. 0 D. 2 Which…

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Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: f(x) = c TRY TO FILL THE хо xo FOLLOWING TABLE FUNCTION f(x) = c g(x) = x g(x)=x USING PUTE…

A: This question is based on area and integration.

Q: Find the area of the region enclosed by the following functions.

A: The given two curves:y=x3-3x+3 and y=3x2-2x.We need to find the area enclosed by the curves.

Q: discover the area of the region enclosed by the following functions.

A: The given two functions:y=4x-x2 and y=2x-3.We need to find the area between them.

Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

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Q: [Sin* ( x ) Cos² (x) dx

A: I have stated the used formula in the solution

Q: . Determine the following function U is harmonic or not x U = 3 + y cos sin cos sin

A: This question is related to Functions, we will solve it using given information.

Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y¹ x² - y²

A: The given limit is: limx,y→3,34x4-4y4x2-y2  To find the value of the limit.

Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 3. The area is square units.

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Q: Solve for y at x=2: (4x^3-6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

A: This question can be solved using the concept of differential equation.

Q: interior to a Ex: let to be any Simple closed Contour C, when flaxed ?? de no dz = 2πT ( Hw a) and…

A: Cauchy integral formula for higher order derivative is :-fn(z0)=n!2πi∫cf(z)(z-z0)n+1dzwhere c is a…

Q: Find the area between f(x)=x²-25 and the x-axis from. x = 0 to x = 6. ... The area is square units.…

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Q: Separable DE) y'ln² y + y√√x=0 y(0) = e

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Q: 2. Which of the following is the total number of paths from point A to B on the grid provided? H4 A.…

A: For a grid, with m rows and n columns, the total number of ways of traveling from top to bottom will…

Q: -X f(x) = 9x² 9x² x-3 if x ≤ 0 if 0 3

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Q: olve the given differential equation by separation of variables. y locx) -(+1)² yIn(x)

A: A detailed solution is given below.

Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: The differential equation y"(1-x)+xy'=y is linear homogeneous O non linear homogeneous linear…

A: We have to choose correct option

Q: x-1=2x y=2= λy Z=-λz x² + y²z² = 0

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Q: A stone is dropped off a 784-1 cliff. The height of the stone above the ground is given by the…

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Q: Find : dw/dk @=2 α - sin m καὶ 2

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Q: f(x) = 4e³x9e²x

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Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 6 f(x) = 7+ - X f'(x)…

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Q: Evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.…

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Q: An isosceles triangle is inscribed in a circle of radius R. Find the value of 0 that maximizes the…

A: In this question we have to find which option is good.

Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the limit for the following sequences and determine their convergence: In n i) a₁ = ii) a₁ =…

A: We need to find limit and convergence.   As per Bartleby's guidelines we can solve one question from…

Q: The equation (y")^2 + (y)^5 - 7 = 0 is O Nonlinear homogeneous linear homogeneous linear non…

A: See the details solution in below

Q: O do 5 sin cos de Sin ³0 + 3sing-4

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Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…