Question 12 Compute the following integrals: (a) fix√2x - Idr. (b) Sze-37 dz. Pay attention to presentation

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x - 1)² +…

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Q: valuate the integral using the Trigonometric Substitution metho x² (81-x²)3/²2 dx

A: Topic:- application of integration

Q: A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is…

A: A wrench 20 cm long lies along the positive y‐axis and grips a bolt at the origin. A force is…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P.: -120x + 30y + 90z…

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Q: Let y = 3x². Find the change in y, Ay when x = 1 and Ax 0.1 Find the differential dy when x = = 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: Memoryless. A system is memoryless if its output at a given time is dependent only on the input at…

Q: the Fundamental Theorem of Calculus to find the derivative of the function. Simplify answer 5x g(x)…

A: Topic:- calculus

Q: Write the product as a sum: 16 cos (34c) sin(13c) = > Next Question

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Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

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Q: Let f(x) = x³ - 3x². Suppose n is the number of critical numbers of g(x). Let X1, X2, ..., Xn be the…

A: To find out the critical numbers and the number of critical numbers.

Q: Consider a two variable function z = x³ + 2xy + y² + 4y. Z= Find partial derivatives zy, ży Find all…

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Q: Analyze the following equation and graph it. 36 9-8 sin 9 r= Identify the conic that the polar…

A: Solution is given below:

Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: (1.1.1-4-3-3-4-6,...} 1, 3, 2, 4, 3, 5, 4, 6, { {

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Q: uppose Jesse deposits $500 every month for 30 years into an IRA earning ompounded monthly. What…

A: Topic:- algebra

Q: WHAT IS THE FORM OF THE PARTICULAR SOLUTION OF THIS (D²+D-2)y=(-e^-2x) + (3e^2x)

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Q: 10. Find the critical points of the following function. Use the Second Derivative test to determine…

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Q: Determine if the following statement is true or false. Justify the answer. If a finite set S of…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Please refer to the image below

Q: B. Determine the general solution for each given higher order differential equation. Write your…

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Q: If f(x) = 2x² - 6x + 6, find f'(2). Use this to find the linear approximation to f(x) at x = The…

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Q: 1. Find derivative of given function defined as follows. 7-29-22 y = (8x²-3x³) ³

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Q: (27) Suppose that f is a continuous function on [-a, aj. If f is even on [-a.a] then fa f(x) dx = ●…

A: Topic = Integration

Q: r true or false. F(s) = s²/(s² + 4) is not the Laplace transform rue alse

A: topic:- Laplace transform

Q: Solve the given equation for x. -5= −6+ 3e** O-4e³ O e³ --4 In 3 --4 O ln 3 4

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Q: # The graph above represents f'(x). Which of the following graphs represents f(x)? A.

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Q: Q1. Find the derivative of the following functions. a) G(x) = ² et b). H(a) = √² -dt et + 3 plnx +²…

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Q: Evaluate the integral. [² (7x)√x² + 34√x³ √√√x dx

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Q: 44. y' - 2y = 0

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Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 9) Radius:…

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Q: Evaluate the integral. er HEAD ² y³ In(x) dx, y> 0 ind

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Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: alyze the following equation and graph it. 36 9-8 sin r= ich of the following is the correct…

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Q: Consider the function f(x) = = a) b) c) 4x²-7x-3 x²+6x-16 State the domain of f(x) using interval…

A: I have solved step by step in detail.....go through the solution

Q: Compute √√7, using Newton-Raphson method, Starting from (Xo = 1.5) (take an accuracy 5D places)

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Q: Evaluate 2 [²4x² - 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your answer to…

A: We need to evaluate the value of the following integral ∫024x3-2x+cosxdx

Q: Please explain how to differentiate f(x)=5x^2 * (3-2x^3)^6

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Q: (4) Find the area of the region bounded by the curves y = sinx, y = cos I, I = T x = 3π/2. You will…

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Q: -2x+1 if x0 f(0) = (0, -1) (d) Graph the function below. (b) f(-1) 2 f(-1) = −2 (-1) + ¥(-1)=3…

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Q: Suppose $1,500 is invested at an annual interest rate of 8 percent compounded quarterly. Compute the…

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Q: Find the transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…

Q: O O Use the substitution formula to evaluate the integral. 1 6r dr 0√16+3r² OA. 19-4 √19 2 O B. -2…

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Q: Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

A: This question can be solved using the area of triangle in three dimensional geometry.

Q: The bakery at Sam's club makes jumbo cookies and regular cookies. The oven can make at most 200…

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Q: A dish of lasagna baked at 400°F is taken out of the oven into a kitchen that is 71°F. After 7…

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Q: [D3 – 6D2 + 11D − 6)y = cosx sinx

A: The objective is to solve the above differential equation.