1. f√2X + 5dx 2. [ tanxsecxdx 3. f 2x√4x - 5dx

Q: (b) The Cartesian coordinates of a point are (2√/3, -2). (i) Find polar coordinates (r, 0) of the…

A: We need to change Cartesian to Polar.

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  so we can…

Q: Find the integral. S 12√x dx 13 √ ¹³√x dx = 1/2* -X 13 + C

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Q: State where the power series is centered. Σ n = 0 (-1)^(x-4)2n (2n)! Submit Answer

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Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (a) y = -9…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=√1+3x, 3≤x≤9…

A: We need to find out the area of revolution,

Q: Find the differential of: y = 6 ln(6x +49) dy = And just to make sure you understand the difference…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the directional derivative of the function f(x, y, z) = xe³ + ye² + zeª at the point (0, 0, 0)…

A: The given function is:f(x,y,z)=xey+yez+zex

Q: Suppose that f'(x) = 2x for all x. a) Find f(1) if f(0) = 0. b) Find f(1) if f(2)=0. c) Find f(1) if…

A: Given that f'(x)=2x for all x. We have to find the required values.

Q: Given fo²F0₂ f(x) dx = 6 and (a) [ f(x) dx $fº Fx (b) [³ 16 (c) [f(x) dx (d) 3 f(x) dx -5f(x) dx…

A: Given ∫03fx dx=6, and, ∫36fx dx=-1, to evaluate the following.a ∫06fx dxb ∫63fx dxc ∫33fx dxd…

Q: Why is the -27 omitted from the final answer

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Q: Find the function with the given derivative whose graph passes through the point P. f'(x)=2x+5,…

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Q: Determine if the given statement is possible or not. 1. A set S where infS ≥ supS. 2. A set T…

A: 1. Possible   Let set S = {1}  Here, infS = 1 and supS = 1 So, infS= supS  Hence, infS ≥ supS  2.…

Q: Use the given transformation to evaluate the integral. JJ (₁₂ (12x+16) d4. where R is the…

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V2 in…

A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

Q: If z = (x + y)e" and x = u² + v² and y = u² - v², find the following partial derivativ answers as…

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Q: Use Newton's method to approximate √6 to four decimal places.

A: Let's find value of sqrt(6) by using Newton's method.

Q: Write the equation of a parabola with x-intercepts at (3, 0) and (9, 0) that passes through the…

A: The answer is given below:

Q: 4 12d2= -dx = x² - 1 (A) B D 4 ln x² - 1| + C 2 ln+C 4sin ¹x + C 4tan ¹x + C

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Q: Water is flowing into a conical vessel 9 m deep and having a radius of 3 m across the top. If the…

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Q: lve √√-36 de by using trigonometric substitution x=6seco..

A: Given Integral:- ∫x2x2-36dx

Q: Suppose an individual makes an initial investment of $2,600 in an account that earns 6.6%,…

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Q: Can the Mean value theorem be applied ? What is the value of C?

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Q: xy Find the linear approximation to f(x, y, z)= at the point (-3,-3,1): f(x, y, z) ~ ←

A: Topic = Derivatives

Q: Use completing the square in order to put the followingation into te of the standard quadratic…

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Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

A: Given Equation:- y=x-18x2

Q: [D^2-1]y = 10(cos^2)(x)+4e^x solve using method of undetermined coefficients

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Q: Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the alternating series test

Q: Find the indefinite integral. (Use C for the constant of integration.)     8x(4x2 + 3)6 dx

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Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= ←

A: We have to find the gradient of the given vector.

Q: uppose f(x, y) = a) ▼ ƒ(x, y) = = 1 ⇒) ▼ƒ(-0.7, 7) = tan(x) + y and u is the unit vector in the…

A: The given function is f(x,y)=sqrt(tanx+y) Point = (-0.7, 7) Direction =<2,3>.

Q: couple believes they can afford a monthly house payment of $2,100 and would like a 30-year…

A: Given query is to find loan amount.

Q: Half-Life uses the formula N (t) = Noe No = Initial Amount t = time h = length of half-life. The…

A: Given query is to find time to reach 60%.

Q: Write out the first three terms of the Maclaurin series for f(x) = 7 1 = 7 ( 1 + 2 ) - ³. The…

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Q: The supply and demand for a product are given by 2p - q = 100 and pq = 300 + 25q, respectively. Find…

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Q: Solve the equation x² + 7x = 30. O A. x = 15 and x = -2 O O B. x = -6 and x = 5 C. x=-10 and x = 3 O…

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Q: The figure above shows the graph of the continuous function f. The regions A, B, C, D, and E have…

A: The area of region A =5It is above x - axis therefore, ∫-7-5f(t)dt = 5The area of region B =2That is…

Q: 7. Set up but do not evaluate a triple integral using spherical coordinates to find the volume of…

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Q: A curve with polar equation 31 7 sin +36 cos 0 represents a line. This line has a Cartesian equation…

A: NOTE: Refresh your page if you can't see any equations. . use the polar to cartesian substitution

Q: Suppose that 3 ≤ f'(x) ≤ 5 for all values of x. Use the Mean Value Theorem to find values for the…

A: Given that 3≤f'x≤5 for all values of x. We have to find the bound for f2-f-2.

Q: Find an equation of the tangent plane to the surface z = 2y² – 5x² at the point (2, 0, -20). Z

A: NOTE: Refresh your page if you can't see any equations. .

Q: a. Evaluate b. Evaluate X √√x+2 X dx using integration by parts. dx using substitution. √√x+2 c.…

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Q: Let ƒ(x) = x³ – 15x² +27x - 2. Find the open intervals on which f is increasing (decreasing). Then…

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Q: Use the Mean Value Theorem and find all points 0<c<2 such that ƒ(2) —ƒ (0) =ƒ'(c) · (2-0) : ƒ(x) =…

A: See this solution in below.

Q: 1 1 1 Calculate the gradient of h(x, y, z)=33 Vh = h (2xi) + 3yj + 3zk

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Q: (a) What is a sequence? A sequence is the sum of an unordered list of numbers. A sequence is the sum…

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Q: Calculate the directional derivative of f(x, y) = tan ¹(xy) in the direction of v = -5i + 5j at the…

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Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: Evaluate ~2 √² (3x² +9y²) dydx

A: ∫02∫0x 3x2+9y2dydx

Q: 2. Use polar coordinates to evaluate c4 L -4 JO 16-y² (1 − x − y) dxdy .

A: