Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a) (8, π/4, 9) (x, y, z) = ( (b) (4, -л/3, 1) =([ (x, y, z) =

Q: Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give…

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Q: 5y = e²x = 4. y" - 4y' - 4y' + 5y CSC X 9. (D² - 2D + I)y = 35x³/2ex

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: xy Find an equation for the level surface of the function f(x,y,z) = In Z that passes through the…

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Q: Let L, denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the…

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Q: Find the equation of the quadratic function f whose graph is shown below. I Don't Know (3,-5) 4…

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Q: Find or evaluate the integral (Please show steps) J cos(x) 3+ sin(x) dx

A: to find out the integration.

Q: Given and ƒ¹(−1) = −5 and ƒ(−1) = 0. Find ƒ'(x) = 0 and find f(1) = = f"(2)=5x+1

A: given f''(x)=5x+1f'(-1)=-5  and f(-1)=0we know ∫xndx=xn+1n+1+c

Q: [2x (In x³) ²0 3 2 X dx

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Q: 12. Water flows into a conical tank at the rate of 2 m3/s. The conical tank is 4 m across the top…

A: To find out the rate of change of wetted surface means rate of change of height of water.

Q: Evaluate the iterated integral. [1²(x²-x²) 1.1-4) (x² - y²) dy dx

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Q: Decide which of the following properties apply to the function. (More than one property may apply to…

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Q: What is the perimeter of the curve r = 4(1 4. sin q)?

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Q: Sketch the graph of a differentiable function y = f(x) through the point (1,1) if f'(1) = 0 and…

A: y = f(x)f'(1) = 0 PROPERTY OF DIFFERENTIAL FUNCTION if, f'(x) > 0     function is increasingif,…

Q: 4. Recall that a transformation is linear if it is of the form T(u, v) = (au + bv, cu + dv). Justify…

A: Given thatTu˒v=au+bv˒cu+dv

Q: Water is flowing into a spherical tank 24 19. m in diameter at a rate of 2 cu.m/s. Find the rate of…

A: The diameter of tank d= 24 m Radius will be r = 12 m Water flow u = 2 cu.m/s We need to water rise…

Q: (a) Find the equation of the tangent plane to the surface z = 6xy at the point (-1, 1, -6). (b) Find…

A: z=6xy Let fx,y,z=6xy-z

Q: entify which step is incorrect in graphing g(x) = -2(x-1)4-1 ep 1: Shift right 1 unit ep 2: Reflect…

A: We will find the required.

Q: Question 3. Given the formula y(t)-y(t-h) h use the Taylor series y' (t) = h" "(t) ++ () (t) +…

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Q: Find or evaluate the integral. /sec² sec² (4x) dx

A: let V=∫sec2(4x)dxwe know  (i) sin2x+cos2x=1(ii) tanx=sinxcosx(iii)  d dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Firstly we find local maxima or minima . secondly inflection point.

Q: Question 8 find derivative of f(x). f(x)= 3x²-5x +1 O 6x+1 6x-5 О 6x 6x-4

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Q: 2 Find the vertical and horizontal asymptotes of the function y = x²-x 2x for horizontal asymptoles…

A: Here we will get the vertical Asymptotes by putting denominator equal to zero, and we will find the…

Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 159.…

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Q: . lim e²x-1 X30 3x+4 sinx

A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit

Q: A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company…

A: Fixed cost= $350Cost per mug=$3

Q: Riemann sum for f(x) a) The rectangles in the graph below illustrate a ? [4, 8]. and this Riemann…

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Q: EVALUATE THE INTEGRAL. 4 [^(13-T) (13-T)√TdT

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Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

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Q: For what value of x is the following true? log(x + 11) = log x + log 11. Your answer is X =

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Q: Find the most general antiderivative for the function Antiderivative = ? 6 -

A: ⇒fx=6x3-4x23

Q: Decide which of the following properties apply to the function. (More than one property may apply to…

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Q: Question 18 Find increasing interval for f(x) = x² -4x +3 O none of the above 0 (2,00) O (-∞0, 2)…

A: Here we have to us ethe concept of derivatives

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The price-demand equation is x=8000-20p             The cost function for the…

Q: 8. Find the solution of the differential equation 0]=x+ dy - 6x³y dx

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Q: Find the particular antiderivative that satisfies the following conditions: dx 80 dt X = - ; x(1) =…

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Q: Find the absolute maximum and minimum values of f (x, y) = x + y − xy on the set D. D is the closed…

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Q: Graph: y > 2x + 1 {y <-x-1 5+ 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: -1 -2 -3 -4 -5+ 7 1 2 3 4 5

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Q: 4. Describe the long run behavior of f(t) = -5t6-2t4+3t³+2 As t-∞, f(t)→? As too, f(t) → ? ✓

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Q: Find the partial derivatives of f(x, y, z) = x³y² + x²z² + xyz at the point (1,2,3)

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Q: 6. Evaluate: f x dx x3+2x²-x-2

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Q: Given the formula y(s+k)-2y(s) + y(sk) use the Taylor series 1.2 y(s + k) = y(s) + ky'(s) + 27" (s)…

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Q: Determine whether the series converges or diverges. If it converges, find its sum. Σn (m²+1) ln n=1

A: The solution is shown in step-2

Q: 2t Let r(t) =

A: Given,  r→(t)=2t3-3, 4e-2t, sin(5t)

Q: 1 0.5 0 -0.5 -0.5 y 0 0.5 1 7.5 7 6.5 Z Find the surface area of the portion of the bowl z = 6 + x²…

A: The given surface is: z=6+x2+y2 and the equation of the plane is:z=8

Q: Find the mass of a lamina bounded by 'y=3 sqrt(x), x=9, "and" \ y=0" with the density function…

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Q: 3x² + 4 none of the above

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Q: Studies show that the minimum half-life of Fluoxetine is 4 days. Use the following to construct a…

A: Studies show that the minimum half-life of Fluoxetine is 4 days. By using the following to construct…

Q: Suppose that the profit from the sale of Kisses and Kreams is given by P(x, y) = 10x + 7.4y0.001x² -…

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Q: 3. Solve the following Initial Value Problem. The number of cable telephone subscribers was 3.2…

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Q: Find or evaluate the integral. I sec sec² (4x) dx

A: To find out the integration.