Complete the table for the equation y=x-2, and graph the equation. X -2 - 1 0 1 2 Use the graphing tool to graph the line using two points. Click to enlarge graph -to Ay 10+ le Q G

Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A: We have to find the required plane

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: this is incorrect please resvole

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Q: A balloon rises at a rate of 3 meters per second from a point on the ground 60 meters from an…

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Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

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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

Q: Find , given y sec dy dx = final answer. √2x²+1, x > 0. Simplify your

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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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

Q: ..suspended a mass of 10 kg from a ceiling by two cords that make angles of 30° and 45° to the…

A: This question can be solved using the concept of component form of vectors.

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest…

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Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

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Q: Ju 2²u Consider the heat equation = Ət for a bar of length L=1, with non homogeneous boundary…

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Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

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: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

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Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

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Q: Consider the functions f (red) and g (blue) y 10 12 for these functions we have that the line y=8 is…

A: Topic = Limits Just 1 is true.

Q: Use the Inverse Function Theorem to find (p-¹) (2) given that p(x) = √√x - 7. Note that p(−11) = 2.…

A: The solution is given below

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

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Q: Fill in the blanks: x² + The equation describes an ellipse. The volume of the solid obtained by…

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Q: Find the rate of change of the area of a square with respect to the length z of a diagonal when z =…

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Q: If f: R → R is a function such that f'(4) = f'(8) = 0 and f"(x) = 18x - 108 so, f(m) is a local…

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Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

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Q: Find the general solution of the differential equation y" 10y +34y = 0. NOTE: Use cy and ca as…

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Q: If f(x) = 2x²e*, find f'(1). 2e 6e 0 4e

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Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

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Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

Q: B)Solve the differential equation **

A: Here, the given DE is: dydx=x6+4yx⇒dydx=x5+4xy⇒dydx-4xy=x5 which is a linear DE with P(x)=-4x&…

Q: 12. Given the point ( 2, 1) on a tangent line to the curve ƒ(x) = x² − 2x + 5 find the point(s)…

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Q: Find , given y = 5² 6n² a dy dx

A: ddx(5x6ln2(x))We know that…

Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: If 5 5 f(x) dx = 4 and 2 Š² f(x) dx + O -2 O 10 O 2 0 0 4 g(x)dx? g(x)dx = 6, what is

A: Given

Q: dx 17 +2ox +5х2

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

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Q: Let f(x) be defined as below. Evaluate f f(x) dx. X f(x) = 7 9 оо 6 1 ·x 0< x≤2 2 < x≤4 4 < x≤6

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Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: We need to determine Maclaurin series for xarctan(x2).

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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