Find the limit. lim (3x-4)

Q: The value of the integral Select one: a. 3 b. None of these d. / [1² 17/12 2y³ dx dy is

A: Evaluating the definite integral

Q: Is the equality true or false? Select one: True False 1 ST 8r sin 0 dr d0 = 0

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Q: Find the indicated derivative and simplify. 4t² Int et dy dt for y =

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Q: Which of the following is the directional derivative of f(x, y) = 2xy² - x³y at the point (1, 1) in…

A: Basic partial differentiation is used.

Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 9x² + y² = r(u, v)…

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Q: The equation of the tangent plane to the surface x2 at the point (-2, 1, 3) is Select one: +2y z-3…

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Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 64-y² and x = 0 for…

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Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

A: Let's find mass(m).

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 0 = g(x) =…

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Q: Work Problem 1 (1 ): Evaluate the double integral where R enclosed region bounded by x = 0, y = 2,…

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Q: Classify the following diferential equations. Write the order, linearity and the homogeneity of the…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: ne estimated value of x²dx, using the trapezoidal rule with 4 trapezoids is 2.75

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Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

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

Q: Evaluate [/F F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: Which of the following is the critical point of the function f(x, y) = x²y = xy? - Select one: ○…

A: The given function is: fx,y=x2y-xy To calculate the critical point, we have to solve the equations…

Q: Find the composite functions (fog) and (g°f). What is the domain of each composite function? (Enter…

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: I have stated the used formulas in the solution

Q: The value of the integral Select one: a. 2√2+1 3 b. None of these c. 2√2-1 3 2V/2 d. e 1 2 [²C x√√y…

A: Evaluating the definite integral

Q: t: It F is conservative, the integration may be F(x, y) = yi - xj (a) r₂(t) = ti + tj, ost≤1 (b)…

A: Follow the procedure given below.

Q: of. F. F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

A: We need to find integral.

Q: Question 11 Given the region D in R² enclosed by y = 0, y = 1, x = 0, x = y² a. b. [ integral Sketch…

A: Given the region D in R2 enclosed by y=0,  y=1, x=0, x=y2a To sketch the region D.b To compute the…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

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Q: n 1 ² Σ (sec (2 + ²) - 2 (2 + ² +)) - nxn i=1 3. Express lim as a definite integral, f(a)da.

A: This is a integration problem

Q: The below double integrals are equal: 2 SE S² r cos 0 drd0 = ² r dr Scos e de Select one: O True O…

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Q: Use the double integration find the area of the parallelogram whose vertices are A(1,0), B(3,1),…

A: Area of parallelogram

Q: Maximum Profit Yaster Gadgets manufactures and sells a smartphones per week. The weekly price-demand…

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Q: ·(2+ (2+x+31) dr by interpreting it in terms of areas. 9. Evaluate

A: Need to evaluate the integral by interpreting it in terms of areas. Given information; The integral…

Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: dl ) Verify that y = C₁ cos(3x) + c₂sin(3x) is a solution of 2); A) (::. - y" +9y = 0 B) {….. y' +…

A: Solution

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). V = (0, 12) a= b =…

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Q: dy_y-x dx y + x

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Q: b) 0 em dac

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Q: The directional derivative of a differentiable function f(x, y) in the direction of a unit vector u…

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Q: 5. The tank shown below is full of water. Find the work required to pump the water out of the spout.…

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Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

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Q: 1. Find the gradient of the function f(x, y) = x² sin y y.

A: As per the rules we can answer only the first question and rest can be reposted.

Q: a) Determine if the geometric series 8n-1 90+1 n=1 is convergent or not, and find its sum if it is…

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Q: a. b. .) Solve the following integration problems. ‘s) [ e2* .xdx 1 (2x sin(√x) √x dx

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Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

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Q: Which of the following is true for the series 3n³ 6n³+1 Select one: O Diverges O Σ n=1 Converges to…

A: A series ∑n=1∞un is said to be divergent if limn→∞un is nonzero. limn→∞1n3=0

Q: Evaluate the integral ¹ f√x xdydx Select one: O -1/10 O None of those

A: ∫01∫0xxdydx=∫01xxdx=25

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Find the relative extrema of the function, if they exist. 3) f(x)= 3x4 + 16x3 + 24x2 + 32 4) f(x) =…

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = - 1

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Q: 2- Évaluer les intégrales suivantes: a = √ x√x + 5 x ₁² dx x2 2- Evaluate the following integrals:…

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Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

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

Q: Determine whether the equality is true or false 2 4 4 √₁² √ ^ (x² + y²³ dxdy = √(√² √2²day) +…

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Q: Suppose (2, -1) is a critical point of a function f with the continuous second derivatives. If fxx…

A: We need to choose correct option.

Q: 6. 7. вне I' f(x)dx = 8. f(x)dx = [ f(x)dx= 3

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