solve for T, - 2043 = = 7(71+ (1298) 0.08) dt =

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A: .

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Q: For what value of k is f(x) continuous at x=3? f(x) = (x-1)(x-3) 9-x² 3k, x=3 " x!= 3 (when x is not…

A: f(x)={(x−1)(x−3)9−x2,x!=3( when x is not equal to 3)3k,x=3

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Q: Video Example Guess the value of the following limit. sin(x) lim Solution sin(x) The function f(x) =…

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Q: ] a) Determine the vector equation of the plane that contains the following two lines L1: r = (2,…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: 32²112 + 10 3. Find lim 1-2 ³-4x² + 4x describe any infinite behavior. algebraically. If the limit…

A: limx→23x2−11x+10x3−4x2+4x

Q: (2) Evaluate the following integrals. (a) [² x²(3x³ + 1)¹/³ da 0

A: To evaluate the following integrals.

Q: Consider the function. x+7 f(x) = X (a) Find the inverse function of f. f-¹(x) = (b) Use a graphing…

A: The given function is

Q: 2. Evaluate 3 3-6zy dA where D is the region shown below. y=x² y=-x² Ans: 36

A: Here we have to evaluate the double integral where D is the region shown in the figure below.

Q: Find the area of the region enclosed by the functions. 6 y=x® and y=x³

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Q: Use the method of reduction of order to find a second solution ty" —(8t + 1)y'+(16t+4)y=0, t>0 Given…

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Q: 4x+9 (x-1) (x+1) (x+4)

A: we have given integration

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Q: Evaluate the limit lim a 3 1 a+8 11 a - 3

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Q: (1) Evaluate the following integrals. (a) [² (2x³ + x² + 5) dr

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Q: In the graph to the right, the equation of the parabola is x = O A. O B. Set up the integral that…

A: Given function of x and y is as follows

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. √6 +11x² 8 + 8x (a) lim x…

A: Using concepts of limits, we can evaluate the given limit.

Q: 11. Expand the following binomial functions by using given formula. n! finding kth term of (a+b)"…

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Q: d) y = x453x-1 4 e) y = 1 = (²x+5) ¹

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Q: find a linear equation whose graph is the straight line with the given properties through (0.5,…

A: To find a linear equation whose graph is the straight line with the given properties: passing…

Q: 2. Expand the following binomial functions by using given formula. finding kth term of (a+b)" n!…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Let R be the region bounded by the following curves. To find the volume of the solid generated when…

Q: 16. Let P denote the path that goes counter-clockwise around the ellipse ²a² + y² = 1. Find ſp F·dī,…

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Q: Given this integral: [x³e+4 dx Determine this indefinite integral What is the best analytical method…

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Q: Exercise 1.18. Find the equation of the plane in R passing through the three points P₁ = (1, 2, -1),…

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Q: 7. Given ả = [4,7, 1] and b = [−3,1, 5]: a) Calculate the angle between å and b. b) If = [3, 4, t],…

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Q: 1 + x 1+x² S1+ dx

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Q: Consider the system Ax=b where A and b are the following. -2 -3 -1 6 7 4 -4-2-4 A= 0 Gaussian…

A: Consider the system  where  are the following.By using Gaussian elimination to find the augmented…

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Q: Consider f(x, y) = x² - y²x - xy. The three crtitical points are (i) (0,0) (ii) (0,-1) and 1 (iii)…

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Q: Find all values of c such that f is continuous on (-∞, ∞). 2². F(x) = {I- C = C = (smaller value)…

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Q: 11. A cylindrical pop can holds 650 cm³ of pop. How should it be constructed so that minimum amount…

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Q: y'=-3y ; y(0)=4

A: y′=−3y;y(0)=4

Q: Determine whether the improper integral converges, and, if so, evaluate it. ∞ x -3 dx

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Q: Consider the rectangle shown in the figure. y (a) Find the area of the rectangle as a function of x.…

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

A: we have given curve To Find: area enclosed by these curves.

Q: K For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

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Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Region is bounded by the curvesy=36−x2Region is being rotated about y-axisUsing Cylindrical Shell…

Q: 1) lim 4x + 4 x + 04 -10 - R(x) 3) lim J f(x), f(x) = x (-x²10x-24, x≤-3 2x + 3, x>-3 f(x) 2) lim…

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Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: To find the volume of the solid formed by revolving the region about x-axis

Q: Find the points of intersection of the following pair of curves. y = 3x² + 16x-4, y= 4x-4 The points…

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