Question 4. Determine if the series Σ n=1 5n+1 7-2 converges or diverges. If the series converges, give its value.

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A: Disclaimer : Since you have posted a question with multiple sub-parts ,we will solve first three sub…

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Q: Find the domain and range of the function graphed below. Use interval notation. 5 4 3 2 1 -5 -4 -3 2…

A: To find the domain and range of the function graphed below. To use the interval notation.

Q: Using the Inverse Function Theorem, what is (g-¹) (-2) given that g(x) -3x+2 = ? Note that x-8…

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Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given

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Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

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Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

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Q: B)Is w = Zez analytical function or not?

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Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

A: Concept: Four basic operations are included in basic math operations: Subtraction(-) Addition(+)…

Q: 1. Find each of the following derivatives. d a. dx (4 sinx) b. [ln (2x4 - 3x)]

A: We have to find derivative of given function.

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find

A: given

Q: Refer to functions s and t. Find the indicated function and write the domain in interval notation.…

A: Given sx=x-3x2-36 and tx=x-63-xWe need to find stx and its domain.

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A: Past records from a factory producing electronic components show that on average, new employees can…

Q: B)Evaluate the integrals: i) f/2rdrde, "1/2 ii) f/²/2finx 2² siny dz dy dx.

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Q: sint do соби Ө

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Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: use the definition of a continuous function

Q: Given the functions: f(x)=x²³-7x g(x) = √5x h(x) = 9x-2 Evaluate the function (hog)(x) for x = 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

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Q: Solve differential equation dy dx -(x²+y) x+siny

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Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

A: 1. hf17=h47                  =-16+27                   =-147                    =-22.…

Q: The area enclosed by the two curves y = x² - 4 and y = x - 4 is given by. a. f(x-x²) dx b. (x²-x) dx…

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Q: Use algebra to evaluate the following limits. 3x4 - 5x² x² 2x² - 2x-12 a) lim x-0 b) lim x+3 x²-9

A: Here we will use basic limit laws and algebra to find the limits.

Q: 2 2. √(√x-3) dx

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

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Q: Question 7 Find the partial derivative of z with respect to x 8: da = -2x (3x²+1) sin(x²) + 6xcos…

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Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: dy Find , given y = log3 dx 10- x 2x5

A: Given y=log310-x2x5⇒y=log3e · loge10-x2x5      Using the property: logab=logac·logcb

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Given, f(x) =(2x-3) g(x) = -4x2+9 = 9-4x2 = (3)2-(2x)2 = (3-2x)(3+2x)  h(x) = 4x2-12x+9 =…

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Solution given below

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: B)Solve the differential equation x+4y M

A: Given differential equation is:

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: (7) ² Fi²+ Fi²+ ² Fi Fz Cos/20 49=F₁²+ F²-FiFe- tan 8= 48- = 4√3 4√3= F₂S in 190 Fit F₂ Golze $7…

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Q: Find fx, fy, and fz, and evaluate each at the given point. f(x, y, z) = x2y3 + 2xyz − 7yz, (−3,…

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Q: 2 2(x + 1).In(x ² + 2x + 3) x²+2x+3 $² A) In(x²+2x+3) + c dx = ? B) In²(x²+2x+3) 2 +C

A: According to question,Given Integral,Let I =∫2x+1 lnx2 + 2x + 3x2 + 2x + 3 dx

Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: Solve for m ffm m(8xy + x?)dxdy =3, 0<y<x<1

A: we can solve as follows

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

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Q: The length of an astroid The graph of the equation x2/3 + y2/3= 1 is one of a family of curves…

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Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: Find fx and fy, and evaluate each at the given point. f(x, y) = arctan(y/x) ;  (8, −8)

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Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…

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