Expand and simplify. 3(2y-3) 2(4y-1)(4+1) Factor: a. 3x² + 16x-12 b. x²-y²-6y-9

Q: Question 14 If z= f(t); u = g(x); x = h(z), which of the following is/are correct? du du dr dz (a)…

A: To find out the correct option.

Q: Graph the parabola. y = (x+5)²+1 Plot five points on the parabola: the vertex, two points to the…

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Q: A carpenter holds a 16-lb 2-in. by 4-in. board as shown. If he exerts vertical forces on the board,…

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: Indeterminate Form 4 7. lim 2 1–cosx x-0 4 1 8. lim x-2x²-4 x-2 9. limsin 3xcot 2x 10. limx²e 11.…

A: We have to determine the indeterminate forms.

Q: 9 Given the graph to the right, find f(x)dx. ff(x)dx. 3 10- 8- 6- 4- 2- 0 2 4 6 -8 10 X

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Q: Find the indicated derivative. df If f(x) = x3, find dx 8 df dx |x = -11 || X 32 X = 10 X 1 2 11

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Q: Find the volumes of the solids generated by revolving the region about the given line (a) u = 3r.…

A: Let's find volume of solid(V).

Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

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Q: The equation (x-y)dx + ydy = 0 is homogeneous

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Q: a f(x) = x² sec (ax)

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Q: Integration of Inverse Trigonometric Functions 1 1). fsinødø.; cos² Ø+9 1 2). Scotødø.- √9-In² sino

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Q: The difference between the number of arrangements using all the letters in DIPLOMA and the number of…

A: We need to find difference between arrangements.

Q: Graph the function. f(x)=√x-2 Plot four points on the graph of the function: the leftmost point and…

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Q: Solve for y at x=2: (4x^3-6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

A: This question can be solved using the concept of differential equation.

Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

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Q: VER For a battery of voltage V and internal resistance r, the total power delivered to a load with…

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Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: Let f be a function of a. Which of the following is/are always true? (a) If f is differentiable at…

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Q: 5. S x³ + x²-5x + 15 dx (x2 + 5)(x² + 2x + 3)

A: Concept: Partial fractions: The fractions that had to decompose a rational equation are referred to…

Q: Find the equations of the tangent lines in both the x-direction & the y-direction to the function z…

A: We need to find equation of tangent line.

Q: x" x² - y² lim (x,y) (0,0) x² + y² 2

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Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: 4) x(xdy - yox) = y² lnx dx

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Q: Example: • f(x, y, z) = x³ + 3xy + 3xz + y² + 3yz + z³ • Find the stationary points • Classify the…

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: 32 students in a particular school were surveyed to determine the subjects in which they were…

A: Solution : Given that from figure it is                     Clear that

Q: The ratio of the distances a driver and a -iron will drive a golf ball is 5 to 4 averages 152yards…

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Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We need to find convergence of series.

Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: Given problem:- Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a…

Q: I Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find f'(x) and approximate (to four decimal places) the value(s) of x where the graph of f has a…

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Q: Given: [x, y,z ] = [1,−1,5]+t [3,4,7], determine • the symmetric equations for the line • If…

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Q: There are only seven seats in a van. One of the seats is modified to fit only a baby and one is the…

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Q: In (x-2)² In sketching y determine the intersection of the curve and the horizontal asymptote. None…

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Q: Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 6. ...

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Q: 11. z = 1+ 2t 3x + 11y - Find an equation for the plane parallel to the line x = 1-2t, y = 2+3t and…

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Q: 2 61-19]. and C 3 3 Given the matrices A = В: 9 3 5 the matrix X in the equation (A - 5B) X = C. X =…

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Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

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Q: Find the general solution for the following Deferential Equations: x.e²ydy + (*²*¹) dx = 0 (Variable…

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Q: Complete the following. (a) The graph of y=g(x) is shown. Draw the graph of y=-g(x+1). x 5 ?

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Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: Let f'(x) = ax²+bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x =…

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Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do…

A: Consider the graph given below :

Q: 2. Differentiate. a)/(x)=12x¹ 5 -1 √√2-1 c) h(x)=- b) y = - 3x² 2x+3 - d) y = 21+1 31-2)

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Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0