Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² - 3y² +x+y-2)dx

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Q: DA bacteria Culture that exhibts exponential double in size growth in 10 days. ㅋ Find the growth…

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Q: Given f″ (x) = 4x−5 and f′(−1) = −6 and f (−1) = 5. Find f′(x)=  and find f(4)=

A: We have to find f′(x) and f(4).

Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Sketch the function  f(x)=-x3-3x2

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Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: Evaluate [P r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ F. dr where F = (4z, - 3y, 2x), and C is given by

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Q: Find or evaluate the integral using substitution first, then using integration by parts. cos(In x)…

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Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: 7. The points of inflection are found by solving the first derivative equal to zero. 8. When the…

A: You must have idea about Calculus in order to get the answer for these questions.

Q: Define a polynomial function with all of the following properties. Roots: x=7, x=-8, x=0. It bounces…

A: Given problem:- Define a polynomial function with all of the following properties. Roots: x=7, x=-8,…

Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

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Q: 10 9. (2x³ + 5)¹0 x² dx

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Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: Evaluate the integral. 12 Select the correct answer. The choices are rounded to 3 decimal places. 6…

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Q: Consider the function f(x) below. Over what open interval(s) is the function decreasing and concave…

A: We need to find out the intervals on which the function is decreasing and also concave up.

Q: Which of the following provides the curve of intersection = 14? of the surfaces z = √√√x² + y² and…

A: We have to find the curve of intersection of the surfaces  z=x2+y2  and  x2+y2+z2=14.

Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: 3. f(2x + 3)² dx

A: I have stated the used formulas in the solution

Q: 13. Consider the functions f(x) and g(x) in the tables below. 5 6 7 8 f(x) 1 4 2 3 (A) g(x)= -f(x)+3…

A: topic- functions

Q: JI X

A: Given 121-111231X=0-21 Let the matrix X be X=xyz

Q: Find the lower sum for f(x) = x + 2 on the interval [0, 5] using 5 rectangles. 10 Submit your answer…

A: I appended the formula used in the solution part of the question

Q: J 4 sin xecos* d.c

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: Consider the following situation, which involves two options. Determine which option is less…

A: To find out which one is less expensive.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: The resistance R of a copper wire at temperature T = 25 °C is R = 18 22. Estimate the resistance at…

A: Let's solve.

Q: Find the function F that satisfies the following differential equation and initial conditions.…

A: This question is based on diffrentiation equation and solved using Laplace transform.

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x²-3, (0, -1)…

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Q: Step 5 Let x = sin(0). Differentiate with respect to x on both sides. dx = Rewrite the integral by…

A: We need to fill in the blank.

Q: $3,200 is borrowed at 6.5% interest, find the amounts due at the end of 3 years if the interest is…

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Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: In this question we have to find the length of the curve.

Q: The volume of the solid obtained by rotating the region enclosed by 1 x² y = with limits of…

A: We have to find the volume of the solid.

Q: Complete the proof of Property 4 of the following theorem by supplying the justification for each…

A: We have to complete the proof of property 4.

Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…

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Q: Consider the given function, h(x) = 3x² - 15x+4. (a) State whether the graph of the parabola opens…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Select the…

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Q: A-Find the intercepts, the symmetry for the polar equation r = cos20 am draw it.

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

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Q: 38. A rectangle is inscribed in a semicircle with diameter 10 centimeters as shown. Express the area…

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Q: • SSS ²³² x² + y² = 2, and the xy plane. Evaluate e² dV where E is enclosed by the paraboloid z = 6…

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Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F.

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Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

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Q: Use Green's Theorem to evaluate the line integral of F= over C which is the boundary of the…

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Q: Is the function has a extreme point? If yes, Locate the extreme point: 1 + 3x V4+5x2 y

A: Find derivative of function and equate to zero to find critical points

Q: 6. The acceleration of the position function s(t) = 4t² - 8t + 2 when t = 7. a) 7 b) 48 c) 142 d) 8

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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