1. Perform the indicated operation. X (1-2x)3 dx

Q: Find all the second-order partial derivatives of the following function. w=5ye3x² - 4y

A: w= 5ye3x^2-4yWr have to find all second order partial derivatives

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y +z + 6 =…

A: Cartesian equation of plane is

Q: For the function f(x,y) = In (7x+2y), find and əx dy

A:

Q: A rate of change of H is given by d = k(5 + H). When t = 0, H = 4. When t = 3, H = 10. Solve for…

A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

Q: 2. Differentiate a) each of the following functions. Leave in unsimplified form. b) f(x) =…

A: 2)a) y=x6+5 sqrt(x)b) f(x)=3sinx - cos4xDifferenciate the given functions.

Q: 2 5-x dy + xydx = 0

A:

Q: A region bounded by f(y) = y², y = 2, and x = 0 is shown. What is the volume of the solid formed by…

A: I have appended the formula used in solution procedure part

Q: 4 cos 8 sin²0-4 (3-sin 8 3+sing (22) S A) In de = sino)+c B) sec ¹(sin 8) + c a2+1 C) In 2-sin…

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Q: Suppose an experimental population of amoeba increases according to the law of exponential growth.…

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Q: Q5. The attractive force between 2 oxygen atoms is given by the equation F = k(ex-6e-2x), where x is…

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Q: What is the formula for the total distance traveled by an object with a velocity v(t) = sin(t) on…

A: To find the formula for the total distance traveled by an object with a velocity  on the interval .

Q: 3. The graph of f'(x) is given. Sketch a graph of f(x).

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Q: Let g(x)=3x2-6x-5   Find   g (-2) g(0) g(-3a)

A: We are given the following function.Let g(x)=3x2-6x-5.We need to find the following.g (-2)g(0)g(-3a)

Q: 9. The vertical displacement of a SUV Truck after running over a bump is modeled by the function…

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Q: 3. Find all vertical asymptotes of the g(x) = x+ 3 2x8-Y

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Q: 4 Compute f'(3) for the function f(x)=. x² +5 (using the definition)

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Q: 6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

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Q: Item 3 If f(x) = 2x² and g(x) = 1. (fg)(-3) II. (f- g)(2) 9 IV.(ƒ + g)(1) 0.5 108 The largest value…

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Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

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Q: 26. Find a vector perpendicular to both ☎ = [1, 2, 3] and 5 = [3, 2, -1].

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Q: f(x) = 3/x on the intend 0<x<4

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Q: e) g(x) = (4x²+8)(3x4 - 11x² + 5)

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Q: Rewrite the equation with the variables separated. hh' = 6t²dt 0 h = 6t²dt dhe = tdt 6h ○ hdh =…

A: given

Q: What is the exact value of (57) ₂ 12 tan

A: To find the exact value of .

Q: J2 29 1 3 √x - 2 Vx dx.

A:

Q: The demand functions for two products are given below. P1, P2, 91, and q2 are the prices (in…

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Q: 4. By analysing the normals, determine if the two planes intersect in a line, are parallel and…

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Q: Determine all possible values of 0, 0≤0 ≤2л, if cot 0 = -√3 cos²6 =1/12

A: We know that cos positive 1St and 4th quadrantAnd tan positive 1St and 3Rd quadrant

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by -x²+9 and…

A:

Q: Find Vf at the given point. f(x,y,z)=x² + y² - 3z²+z Inx. (1,4,3) Vf|(1,4,3)+(+(k (Simplify your…

A: Given:We are required to find:

Q: Determine where the function is concave downward. f(x)= 1 x + 8

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Q: Find the solution of the differential equation r"(t) = (e¹21-12, t² - 1, 1) with the initial…

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Q: Q6. The population of foxes in a provincial park is modeled by the equation P(t)= +40, where t is…

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Q: Let r(t) = (t³,tº) g(t) = sin(4t) Evaluate the derivative using the Chain Rule. (Use symbolic…

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Q: (14) The coeffici C)-² B) A) - D) (15) In the Taylor series generated by ƒ(x) = x¹/³ and x₁ = 1, the…

A: Where centered at

Q: Using the change of base formula, g,15=7 O log log (15) Oh (15) O ¹0 In (15) In(60)

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Q: x+4 In (9-x) Determine where f(x) is continuous, algebraically. (Enter your answer using interval…

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Q: Let r(t) = (²,1-1,4t). Calculate the derivative of r(t) a(t) at t = 5 assuming that a(5) = (5,-8,6)…

A: Given that .We have to calculate the derivative of  at .

Q: Your answer is correct. Use sigma notation to write the Taylor series about = ro for the function.…

A: The given function is lnx, x0=1

Q: For the function f(x) = 2x³ -x, make a table of slopes of secant lines and make a conjecture about…

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Q: At a college library exhibition of faculty publications, two mathematics books, four social science…

A: We will solve this problem by permutation and combination topic.

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: dz du dz Əv 1 Find and when u In 2, v= 1, if z=5 cotx, and x=e+ Inv

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Q: Use mathematical induction to prove that, for n≥ 1, n³-n is divisible by 3. Note: If you would…

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Q: Suppose the demand for a certain item is given by D(p) = -2p²-3p + 700, where p represents the price…

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Q: Calculate 1 10 1 x² dx.

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Q: c) Find the equations of the tangent lines to the curve In(x² + xy) = 1+z²y at the points where it…

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 4xe + 7y +5

A: