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A: Explanation of the answer is as follows
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A: Area enclosed by curve r=f(θ), α≤θ≤β is given by Area = 12∫αβr2dθ
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Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…
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Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…
A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13
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Q: S x² e¹x dx
A: EVALUATE USING INTEGRATION BY PARTS For the function x2e4x .
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A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…
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Q: 1 f(x) = X g(x) = Inx A) In[f(x) + c C) Inf'(x) + c 1 1+2e-x A) In|1+2e C) Inje*+1| + c 5. f(x) g(x)…
A: We can answer both the question as below.
Q: Using the Limit Laws, find limt→0 t2+9−3t2. Do not use L'Hospital's Rule.
A: By using the Limit Laws, to find limt→0 t2+9-3t2.
Q: a) 4x² +9y² + z² = 36 b) x² - y²z² = 1 c) x² +100y² - 36z² = 100 d) z = z= 2x² - 4y² e) x = z² - y²…
A: d)
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Q: Find the general solution of the differential equation y" — y' - 12y -32t + 24t². NOTE: Use t as the…
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Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.
A: To find out the integral value.
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Q: 12. Integral x² dx x³ +4
A: Given the integral, ∫x2 dxx3+4
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A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.
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Q: Use the quotient rule to evaluate h'(a) for the given function h(x) and a. 7x 9 - 2x Provide your…
A: A detailed solution is given below.
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Q: 6. Find the radius of convergence and the interval of convergence for Σ-0¹ (x - 2)". 7. Find the…
A: See this solution in below.
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Q: Which equation could be represented by the number line? A. -9+8 = -1 B. -4+ (-5) = -9 C. -1 + (-9) =…
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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…
A: This question is related to definite integration, we will solve it using given information.
Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…
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Q: Find the general solution of the differential equation ㅠ y" + 16y = 11 sec²(4t), 0 < t < NOTE: Use…
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Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…
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Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A culinary school…
A: Here we have to find type l and type ll error.
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Q: The area enclosed by the two curves y = x² - 4 and y = x - 4 is given by. a. f(x-x²) dx b. (x²-x) dx…
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Q: Use the method of undetermined coefficients to find a particular solution x" + 8x' + 9x = t³ Xp²
A: Solution of given question is written in below steps.
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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…
A: I have stated the used formula in the solution
Q: a. Use limits to find the derivative function f′ for the function f. b. Evaluate f′(a) for the given…
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Q: 13. Find the distance from the point (2, 2, 3) to the plane 2x+y + 2z = 4.
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Q: Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3).…
A: According to question,Given Function,fx = 3-5x3P0, 3Qx, fx
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A: As per guidelines we can answer only one question at a time so if you need more answers kindly…
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Q: Asymptotic to x= 0, x=5 and y=0
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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…
A: Dear learner, As per our guidelines, we can provide the solution for first three parts only. Kindly…
Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…
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Q: (C) For what values of x does the series 11=1 (D) Find Taylor series at x=2 for the function ala…
A: series and taylor
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