y = x4 - 8x² + 8

Q: g. lim 6t²+t-5 t-∞ 9-2t²

A: lim          (6t2 + t -5)/(9-2t2 ) t -->-∞ here question is of limit  and here we have to divide…

Q: Determine the local maximum and local minimum if exist. b. Find the inflection point if exist.

A: Solve the following

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

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Q: ) Find the integration by using Partial fraction method ITY x² + 2x + 1 (x² + 1)² dx

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Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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Q: Find the integration by using substitution method 2 dx x² - 6x + 10

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Q: tan(2x) x+02sin²(x) Evaluate: lim O a. ∞ O b. -∞ O c.0 O d.-1

A: We have to evaluate limx→0- tan2x2sin2x         Here two sided limit does not exist.…

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

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Q: Find the integration by using substitution method. 2 dx x² - 6x + 10

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Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x=0, x=2, y = x and y = x + 2

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

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Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

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Q: 5. lim X→ 3 3x-1 9x²-1

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Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

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Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

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Q: -2 2 /y + 2 dy + √ ² [√y+2_y] dy

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Q: All Operations With Decimals 4 Mario wants to increase his daily mileage by four tenths of a…

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Q: f(x) = ln(x − 1) at x = 2

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Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y=2rsinė

A: this is a problem of differential. Based on the general formula and concepts we will answer the…

Q: -7-6-5-4-3-2- 6 5 4 3 -2 -5. -6. H 1 2 3 4 5 6 7

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx = 5x + 9y +…

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Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

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Q: Using horizontal strips, which of the following gives the area of the region R bounded by y=2+x-x²,…

A: Explanation of the answer is as follows

Q: 15. Given: Th: x+y+z=0 Find: the value of 'm T₂: x+2y+2z-1=0 That a line that lies on the plane 773:…

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Q: 1.tr Y= 4 In ( In (In(sec(x)) then Y 14 (lan)! In ((In (sec)) In (sex);| O True O False

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Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. - 1)k+19 k!…

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Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three f…

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Q: Determine the global minima and maxima of the function: ƒ (x, y, z) = x + y² + = (x + 1)² on the…

A: We can use Lagrangian multipliers: Here, the function to be optimized is fx, y, z=x+y2+12z+12. The…

Q: (a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms…

A: Find out the value of I after 1.5 seconds.

Q: Use the law of cosines to find the angle of the triangle based off the sides listed below for…

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Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: ind the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j -…

A: Given query is to find the angle between the vectors

Q: x TC Q2\ Find The Area under the curve Y= 4sine between X= and 2 X= π by the double integral method.…

A: Let's find area by using double integral method. Small mistake in given question, there should by…

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 21 -1 3 12₁ +1 2 120…

A: Given  A= 012-123204 We need to find the inverse of Matrix A using Gauss-Jordan eliminations.

Q: 4x Compute the values of dy and Ay for the function y = e + 2x given x = 0 and Ax = dx = 0.05. Round…

A: Follow the procedure given below.

Q: Which of the following gives the area of the region enclosed by the line y = -x-1 and the parabola…

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Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: Solve the given initial-value problem. dx y - x = 6y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given problem:- Solve the given initial-value problem.   ydx/dy-x= 6y², x(8) = 1

Q: Q3/Evaluate: ff(x + y) dy dx for the region bounded by the x = 0, x = 2, y=x and y=x+2

A: Given

Q: Consider the following differential equation. (x + 1) + (x + 2)y = 4xe-x dx Find the coefficient…

A: Transient term in a general solution of a differential equation are those terms that tends to 0 as x…

Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A: Given problem:- Initially 100 milligrams of a radioactive substance was present. After 6 hours the…

Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and…

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Q: Sketch the function and Ensure you are finding everything you can about the function (ie.…

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Q: 5 Qu/ If w=f(u, v) = cos uv, u = xyz , v = 4(x²+y²) dw Prove that 0 at the this point…

A: Given problem:-