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Q: How about #2?

A: The given differential equation is  ,

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given: Length of wire for electric fencing is 2400m, and one side of plot is bounded by a river.

Q: Evaluate the line integral, where C is the given curve. Sext xªy√z dz, C: x = 5, y = t₁ z = t², 0 ≤…

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Q: a) (D-2D + 5D²-8D + 4)y=0

A: In multiple question i can only answer first question as per company guidelines. Request you to post…

Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function 5 F(x) = [²…

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Q: Using the graph of h(x). identify all of the values of c for which h(c) is a local maximum of…

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Q: √√5 3

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Q: Find the work done by the force field F in moving an object from P(-7, 7) to Q(7,5). F(x, y)-i-j

A: Let a force field is given as, F= ai +bj and to find the work done in moving the object from a point…

Q: Find the derivative of the given function. f(x) = e6 sin(x) 6 sin(x) cos(x) f'(x)= 6e What is the…

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Q: Multiply both sides by x²(x + 1) and combine like terms. Ax(x + 1) + B(x + 1) + Cx² 9x - 1 A = = X…

A: The equation is given by:-

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify lal. 2"n!…

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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: Find the exact coordinates of the centroid of the following semicircular plate. Show all steps…

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Q: What is the unit sphere's equation in spherical coordinates? p=1 2 p² + 0² +6² = 1 p=2 cos p p = 2…

A: The objective of the question is to identify the correct equation for a unit sphere in spherical…

Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: The figure shows the area of regions bounded by the graph of f and the x- axis. Evaluate the…

A: given the area of the region. We need to find the given integration value.

Q: example 1- Find the linear approximation to f(x)=√√2x+1 at x = 4, then use it to approximate he…

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Q: Use Green's Theorem to evaluate the following integral, S (et² +24y³) dx + (8y5 – 24x³) dy where C…

A: We have to use the green's theorem

Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

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Q: -example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a…

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Q: The function f has continuous second derivatives, and a critical point at (-5, 1). Suppose fez(-5,…

A: Conditions are given as follows

Q: Riemann Sums and Ecosystem Services Definitions: Watershed: the area that drains into a stream,…

A: The objective of this question is to calculate the area under the graph for each watershed to…

Q: y = x^2 / x-5  graph the function -identify the domain and any symmetries -find the derivatives…

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Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: Use symmetry to evaluate the following 12. 1200 2x³ 2x5 dx

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Q: Use the graph of y = f(x) to answer the following questions. f(x) -4-2 + 2 --2 2 a a. Determine the…

A: A graph of the function  is given.The aim is to find,(a) The domain and range of .(b) Sketch the…

Q: fx csc x² c X CSC csc x² cot x² dx

A: +C

Q: 2. Find the indefinite integrals and check your solutions by differentiating. C √ (3x²-2) dx b) f…

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Q: Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

A: we have given function

Q: 17. The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the…

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Q: eral Antiderivative) Evaluate the following indefinite integral: πχ' cos (x³) dx

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

A: The graph of derivative  is given below. To find the interval(s) on which the function  is concave…

Q: Assume the point (5,7) is on the graph of y=f(x). Determine the value of n in the following…

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Q: Complete the table to determine the amount of money P that should be invested at rater to produce a…

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Q: Verify that the hypotheses of Rolle's Theorem are satisfied for f(x) = x² - 8x + 12 on the interval…

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Q: Graph the function y=x√578-x² by identifying the domain and any symmetries, finding the derivatives…

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Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = B(t) = 1-t 1+t 41² 21³ 2t…

A: Product Law for differentiation, (AB)' = A'B + AB'.

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: 16-t -t6 -dt t4 Integrate: /M + C

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Q: Using  the following 1 kilogram = 1000 grams  = 2.23 pounds  solve   9 kilograms = how many pounds?

A: Given 1 kilogram = 1000 grams  = 2.23 pounds.

Q: local minima occur on the function, enter in the appropriate box. f(x) = - 23 - 4x² +15x-8 3

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Q: Verify that the hypotheses of Rolle's Theorem are satisfied for fx √(x)= this interval that…

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Q: Substitution in the Definite Integral S Suppose we want to evaluate the definite integral, H -6…

A: ∫3 5 (- 6) / (9x + 6) 2 dxWe make the substitution u = 9x + 6 As beforedu = (du/dx) dxAnd so, with u…

Q: Water is pumped out of a holding tank at a rate of 5 - 5e-0.11t liters/minute, where t is in minutes…

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Q: Sketch the graph of the quadratic function. f(x) = 3x² + 2 No Solution Help -10 9 8 7 6 5 4 3 2 -1…

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Q: Evaluate the integral by interpreting it in terms of areas. 9 L₁ (²x - (2x - 1) dx

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Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: Evaluate the following integral. Š 12x - 61 dx

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Q: How would I set up an integral that funds the volume of the cylinder?

A: This is question of calculusHere we have to find step for calculate the area of cylinderFurther…

Q: Find the angle 8 between the vectors in radians and in degrees. U = COS = cos(T)i + sin(7)j, v =…

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