Find the limit. Ilm

Q: Evaluate Jx√x²+7dx ○ (x+7) +C 3 ○ (x²+7)³¹² + C O +7x+ C O 3(x+7) +

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Q: figure to evaluate the definite integrals N 1 -1 -24 ²8(1 g(t) dt = Lg(0) y = g(t) + 1 2 3 4 5 rals…

A: Topic:- application of integration

Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: Solve the initial value problem. y' = (x − 1)(y − 6),  y(2) = 6   PLEASE SHWO STEP BY STEP .

A: Here we have to solve given differential equation

Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: The graph of the rational function f(z) is shown below. Using the graph, determine which of the…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: Use the Chain Rule to find az/as and az/at. (Enter your answer only in terms of s and t.) z = sin(0)…

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Q: O a. La función no tiene punto de inflexión. b.x = 1 & X = - 1 O.c.x = 1 d.x = - 1

A: We can find the inflection point as below.

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Topic = Functions

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable…

A: Given dIdt+RLI=1LVt I0=0, R=130Ω, L=5H and Vt=10 V

Q: Find polar coordinates of the points such that. r0 and 0 ≤AL 24 4

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Q: If (fg)(x) = h(x) such that (x)=√x+6, which of the following could accurately represent f and g?…

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Q: Graph the integrand and use known area formulas to evaluate the integral. 4 ja S (10-|x) dx -4 Use…

A: Topic = Area

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: In Problems 1-5, let R be the region bounded by y = 4(x - 2)² and y=x. Each problem will describe a…

A: Since you have posted multipart questions so I have solved first three subparts as per our company…

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ ( 1. (D³ - 5D² + 3D + 9)y = 0 2. (D³ - D² –…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Wind forces F (N/m) exerted per meter of building side as a function of vertical distance y (m) from…

A: We have to find the net force.

Q: Evaluate: f 4dx 3x+2

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: ind polar coord in radians (-4₁-4√3) of the points

A: We will solve.

Q: Given the graph of f'(x) below, where the Dom f (x) = (-∞, ∞). Determine the value of ƒ" (−6) Α. B.…

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Q: The linear density in a rod 8 meters long is 13/√x+1 kg/m, where x is measured in meters from one…

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Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: K Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and circular arcs. 0…

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Q: Use the figure to evaluate the definite integrals y = g(t) K +t 1 2 3 4 5 2 y 1 + -1 -2- +2 +3 2…

A: We can find the area under a curve between two points can be found by using a definite integral.

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: 5. * y ↑ Add File 6. * sin x 1 + cos x y = cos² sin x 1 Add File

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Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1,1₂ = -4,13 = 7, and A4 = - 7. Use the following…

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Q: The following Telescoping series +∞ Σ n=1 1 1 In((2n +5) In((2n + 7

A: The given series is ∑n=1∞1ln2n+5-1ln2n+7

Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' & 'y' x=2y2-4 Now solve…

Q: Tutorial Exercise Find the limit of the transcendental function. Ilm 6 sin x x - 7/2 Step 1 To…

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Q: estion 4, 6.2.7 Solve the triangle. a=3, b=14, c = 13 O > 13 points O Points: C A b=14 c=13

A: Please refer to the image below

Q: Using decomposition into partial fractions, the following integral is equal to s 27 2x + 1 3x3 - 27x…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + 6y=e³, y(0) = 2 Step 1 To…

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Q: Question 9 of 20 K View Policies Current Attempt in Progress Find the discontinuities, if any. f(x)…

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Q: Use polar coordinates to find the volume of the given solid. V = Inside both the cylinder x² + y² =…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: The function is given as , fx,y=lnxy+x2 find the directional derivative at point -1,1 in the…

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: 17) Find the solution to the initial-value problem. dy dx = y3xex2, y(0) = 1 y =     PLEASE SHOW…

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Q: Find the general solution of the following differential equation. y" + 10y' — 11y = 0 NOTE: Use c₁…

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Q: View Policies Current Attempt in Progress Determine whether the following statement is true or…

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Q: 7. Find the greatest integer that divides all numbers of the form 109" +96" - 53″ – 66″ for n ≥ 1.…

A: Disclaimer: Since you have asked the multiple question,we will solve the first question for you. if…