Find dy for the given values of x and Ax. 5x - 4 y = -;x = 5, Ax= - 0.03 x+2 dy = (Round to three decimal places as needed.

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Q: (H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the…

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Q: 1 If x= tand , then dr coso do . (1+x²) ½° A True B False

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Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: For the asked steps we can solve as follows.

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Q: FP Use the Fundamental Theorem of Calculus to evaluate: /2 13. xp x zJ55 9/u5

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Q: (А) True B) False

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Q: Convert the following parametric curve into Cartesian form: * = 3 sin t, y = 4 sin t None of these.…

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Q: dy -1

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Given query is to find the value of the integral.

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

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Q: SxV9-2x2 dx god Find .000.8S

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Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

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Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: To determine whether the given series is convergent or not.

Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

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Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

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Q: d Calculate ri(t) · r2(t)] and d ri(t) x r2(t)] first by differentiating dt' dt the product directly…

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Q: Determine the area of the gtven reglon. y = x + sin X Step 1 Note that for the glven reglon, x…

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

Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: Differentiate the following using logarithmic differentiation y = x=

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Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

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A: Given

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A: on solving this we will get :-

Q: 2. Find the desivative ofy= Binx

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Q: The area bounded by y=3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Consider

Q: Let f(x) = Vx? + 9. Then f'(x) is f'(1) is f"(x) is and f'"(1) is

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Q: x²+1 Find J+3x+1 11.

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Q: 22. Suppose the velocity of a particle moving on the number line is given by v(t) = 61² – 4t for…

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Q: 7 Determine the intgral

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Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: f is just that e*-sin(x + y) + cos(x +y)] and = -e* sin(x + y) which if the ollowing is true Select…

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Q: Find the area of the shaded region. x = -y x = 2 – y? -2 2 10 В

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Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: Determine the area of the given region. y = x + sin x y 4 3

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

A: This question can be solved using the concept of geometric series test and p series test for…

Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

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Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: 1 dx X +x13

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Q: Evaluate the following definite integral.  4

A: topic- definite integral

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Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

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