√ √(x²-1)dx

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

A: Given

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: Find the solution of the given initial value problem. 9 cos t y' y = y(π) = 0, t-9, t> 0 y(t) = =

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

A: Solution

Q: 5. I. Evaluate each determinant. -2 -1 4 2

A: Finding the value of determinant

Q: f(x) = xlnx

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Q: Evaluate the Integral Sec² √r √x dr Njw SYD

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Q: The function √x² + 2x is equal to (x + 1)² + 1 Option 1 √(x + 1)² - 1 Option 2

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Q: 1. Given the region bounded by the following functions as well as the x-axis: y= 2²/1₂ ² x= x = 4…

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Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

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Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0 ≤ 0 0 Enter exact value. 0 =

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

A: Let's find volume of solid bounded by curve and plane by using double integration.

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: Find all the critical points of the following functions and classify them as local maximum, local…

A: First we need to find the critical point and then we should apply the conditions to approach it as a…

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fæ(t) =…

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Q: Given the properties of the natural numbers N and integers N (i) m, n € Z➡➡m+n, m-n, mn € Z (ii) If…

A: We are allow to solve one question at a time. If you need rest of answer then upload separately.…

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

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Q: Calculate the gradient of h(x, y, z) = x z Vh=

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Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

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Q: Question 12 If u and are non-zero vectors and Proj= 0, then which one of the following must be true?…

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Q: Solve Zxy and Zyx when Z=2xy³ - 3x²y²

A: To find the partial derivative

Q: curve described by:

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Q: y4 + y² − 1 y³ + y - dy

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Q: 2x² + x + 3 x³ + x dx In[x] + In (x² + 1) + tan^³(x) + C Option 1 3 In]x] +In (x² + 1) + tan¹(x) + C…

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We can state the Divergence theorem .

Q: 4. Evaluate the double integral: y f. L y¹/3 x7 +1 (Hint: Change the order of integration to dy dr.)…

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Q: The surface parametrized by 7(u, v) = (u, v, u - 2v) is a plane O a hyperboloid a cone a cylinder

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Q: Use the graph below to fill in each entry of the grid with positive, negative or zero. y = f(x) f''…

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Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 4}. I Then the double integral of f(x, y) over…

A: Explanation of the answer is as follows

Q: 2. Evaluate da da d. Java [. 2 / + 3 + a r/Mr | 1 | dr ar/rº +1

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Q: Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2--2,3-4, and A4--4. Use the following method to…

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

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Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

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: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

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: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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Q: solve by differential √226

A: Let's find value by using differential.

Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

Q: 1) Approximate (3+x-x²) dx with a left-endpoint Riemann sum using four equal subintervals. 2)…

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Q: Please check the numbers again. You have used 3/8 in the above equation. Euqation is 3/2.   I…

A: ∫sec2u du = tan(u)+C

Q: Which of the following are parametric equations for the entire line y = x + 1? Choose all that…

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Q: sketch the graph of fox) = 2 1+x²²

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Q: Calculate the area contained between the curve y = cos x, -<x<, and the line y = 1. T 3. √3 Option 1…

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Q: The slope of the 7.6 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: The figure is

Q: f' f" 1 I I 1 I 1 I I 1 A A B D B D y C E D E

A: