5x+3 2x² + 4x+7 -2 dx

Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (lnx)5…

A: Geven : f ( x ) = ( ln x ) 5 To find : Derivative f ' ( x ) = ?

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.

Q: Problem 1. You are fencing in an area next to your house so your cats can lounge outside. The cat…

A: We have given the length of material that is avialble for fencing is 27 feet.

Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A: Please see the below picture for detailed solution.

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Assume that the shape of the athlete's high-jump is parabolic. the function, in vertex form, where…

A: The axis of symmetry is t = 0.6 and the maximum height is 1.80 mhence the vertex is  (0.6, 1.80)

Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: For the function f(x)= −2sin(x−3π/2), determine its amplitude and period, and then graph it for two…

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Q: Let a = (-5, 1, 2) and 6 = (2, - 1,3). Find the angle between the vector (in radians) Check Answer

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Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

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Q: Find the area of one leaf of the "four-petaled rose" r = 7 sin (20). X FIGURE Four-petaled rose (Use…

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Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: Evaluate the triple integral g(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 10², x ≥ 0, y ≥…

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Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: d. y = ار نے

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Q: f(x) 3. What does lim = 0 show? X→∞ g(x) O g(x) grows faster than f(x) as x goes to infinity. Of(x)…

A: The given limit is limx→∞fxgx=0

Q: TU 2. fz sin² x cos4 x dx J

A:

Q: Suppose R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y =…

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Q: What is correct form of the particular solution associated with the differential equationy'''=8?

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Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: Find the domain and range for the function f(x) = LO T 5 3x 1- e

A: Find the domain and range of the function fx=51-e3x

Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: Find the curvature of the curve r(t) = (5 + 4t, 4 - 4t, 1 - 3t) at the point t = -6. Check Answer

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Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: əz 7. Find the partial derivatives and if: əz əx ду (a) z = x-y r2 + 1² (x, y) = (0,0) = x² sin(x-y)…

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Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

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Q: Let a = -17 +83 +9k and b = -87-23 + 3k. Find a b Check Answer

A: Given vectors are a = -1i+8j+9k and b= -8i-2j+3k Find:- a.b

Q: 3. Suppose that F(t) is a twice-differentiable function of one variable. Define the function f(x, y)…

A: At first we derive second order partial derivative of the given function   f(x,y)=yFxy.

Q: Find the point at which the line y(t) z(t) = 2 + 4t -6-8t intersects the yz plane. 6-7t

A: The line x(t)=2+4t, y(t)=-6-8t, z(t)=6-7t intersect yz plane Note:    Multiple questions are given,…

Q: 1 6. √₁² √ 1 - √u du

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Given the differential equation dy dx = y³ x ex² 9. Find a solution that satisfies the initial…

A: Differential equation: dydx=y3xex2

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 6)² dx + C

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Q: d) f(a)= (2a-1)² 2a + 5a

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

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Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

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Q: Determine the real number a such that u x v and i are orthogonal, where u = 5i + j - 9k and v = 6i -…

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Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

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Q: 5. The movement of the crest of a wave is modelled with the function h(t) = 0.2 cos(4t) + 0.3…

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Q: Use cylindrical coordinates to calculate: Sw(x² + y²) dV = [[[_x² + y²³ av W: x² + y² ≤64, 0≤ z ≤ 16

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Q: Given x = y² + y + 1 from 0≤ y ≤2 1. The arc length of the given curve over the interval is 9. 7:38…

A: Given: x=y2+y+1 from 0≤y≤2To Find: To determine the arc length of the given curve over the given…

Q: Find a plane through the points (-3,-8,7), (7,-2,6), (-2,8,-4)

A: answer is in next step.  as per guideline i can answer only one question .

Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: Evaluate the triple integral W z dV where E is the solid bounded by the cylinder y² + z² = 100 and…

A: