Find the vector equation for the line of intersection of the planes 5x + 3y2z = -1 and 5x + 5z = -4 r= = 0,0) +t(15,00)

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 11…

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Q: (b) For any continuous function f(x) such that f(1) number c in (1, 3) such that f'(c) = 0. = 0 and…

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Q: Find the exact value of each of the following under the given conditions. 5 tan α = a. sin (α + B) 8…

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Q: Find the area of the region that lies inside both curves. r= 2 + cos(8), r= 2 - cos(0)

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Q: √h+6-h 5) lim h-5h³-3h²

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Q: 28. Differentiate a) f(x) = and SIMPLIFY the following functions: e-3x² cos² (4x-5) b) f(x)= (x-6)¹…

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Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

A: Given the following data,P = 8V = 12n = 10R = 0.0821

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Q: 3. Intersections. Find the six intersections of the following two parametric curves. Give exact…

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Q: Evaluate the following limit sản xẠT SENK sn lim X-3x/2 Select the correct choice below and, if…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The solution is shown in step-2

Q: Given that 3 is a zero of the polynomial function f(x), find the remaining zeros. (x)=x³-5x² +23x-51…

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Q: Find the general solution of the given second-order differential equation. y" + 36y = 0 y(x) =

A: To find the general solution of the solution of the given second-order differential equation.

Q: Use a parameterization to find the flux SSF-n do of F= 4xy i - z k outward (normal away from the…

A: The solution is shown in step-2

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Evaluate the following limit or explain why it does not exist. 1 X lim (x + cos x)* x-0 Select the…

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, +3),…

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Q: 10. Use the Shell Method to find the volume of the solid obtained by revolving the region in QI…

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Q: √r +3 6) lim- √r-9 644

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Q: At 2:00pm a car's speedometer reads 20mph, and at 2:10pm it reads 30mph. Use the Mean Value Theorem…

A: We can use application of calculus in order to solve the given problem.

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=24.…

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Q: ∞ k=1 2e-4k

A: The given series is .We have to determine whether the series is converge or diverge.

Q: O Find the to Nowings trignometric integrations dx (sin23 Scos x S

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: The linear approximation of a function  at  is .

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

A: (b) Number of bacteria after 4 hourst = 4 ,

Q: 10. You have 800 ft of fencing to make a pen for hogs. If you have a river on one side of your…

A: Here we are given that ; We have 800 ft of fencing to make a pen for hogs. Also, there is a river on…

Q: дz Use the chain rule to find and მs əz əs 11 дz at Z = = (x - y)⁹, x = s²t, y = st²

A: The given function .Use the chain rule to find  and .

Q: a. f(x) = 5x +9x³ +12x² - 7x f'(x) = b. f(x)= 0.03x² -0.4x+10 f'(x) = b. f(x) = 10x³ +5x*-8x f'(x) =

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Q: Of all rectangles with a perimeter of 12, which one has the maximum area? (Give the dimensions.) The…

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Q: A polynomial function f of degree 5 whose coefficients are real numbers has the zeros 1, 5i, and…

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Q: Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 6,000 and P'(1,000)…

A: To determine the meaning of given statement.

Q: Given f(x, y) = 2x³ – 3xy – y³, find fxx(x, y) = fay(x, y) =

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Q: Find a polynomial function f of degree 4 whose coefficients are integers and zeros at 11/11 1, and…

A: Given degree is 4. Hence there would be at most 4 roots.Given roots are  Complex roots always occur…

Q: Use differentials to approximate the quantity. √8.7

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Q: f(x) = |x| Complete the following when f(x) = 3 f(x)=x+6 a. Draw a graph of f. b. Explain why f is…

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Q: Find the x and y intercepts of the equation: -3x-2y=-18

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Q: For the function, f(x) = -2x+5, complete parts a through c. a) f(x + h) = b) f(x+h)-f(x)=…

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Q: Find the general solution of the given second-order differential equation. + 36y = 0 y(x) = y"

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: 5. Show that f(x, y) = x² + 4y² - 4xy + 2 has an infinite number of critical points and D = 0 at…

A: The solution is shown in step-2

Q: Part. (a) lim x-0 X e-1 sin x ||

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Q: 0.4t Find the time t² + 62 The concentration of a drug t hours after being injected is given by C(t)…

A: Given the concentration function: C(t) =

Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r'(t)||³ 10t: r(t) = e¹⁰ti + e¯tj е to find к(t).

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Q: The graph of a function is given. The x y-coordinate plane is given. The curve enters the window in…

A: To determine the intervals where f is increasingThe function is increasing when function goes up…

Q: Find the derivative of the function. (6) - cos(6²)

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Q: Consider the following function and its graph. f(x) = 2(x + 1)3(x + 7) (x − 3)2(x + 2)2 The x…

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Q: A constant force F = −4i - 4j – 3k is applied to an object that is moving along a straight line from…

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