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Q: Find the sum of positive divisor  a)     40 425  b)       2 491

A: To find the sum of the positive divisor a)     40425 b)      2491

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Given that Vf(11, –6) = 10i – 8j, find the directional derivative of the function f at the point…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: A snowball is thrown upward from a bridge into a river below. The function f(t): above the surface…

A: f(t)=-16t2+47t+88t=0f(0)=88gives the bridge's height.Brige's height =88 feetB)When the snowball hits…

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Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 1.…

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Q: Use logarithmic differentiation to find dy/dx. x² – 4 x2 + 4 - y = x > 2 dy dx II

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Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: u = 5i + 4j, v= 3i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u…

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Q: Use synthetic division to find the quotient and the remainder. (x* - 4x° + 4x + 4) = (x – 2) ... (x*…

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Q: Jse vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-5,…

A: Suppose, A(1,1,3), B(-5,5,0), C(-3,8,-7) & D(3,4,-4) are the given vectors.

Q: y" 2y'+ 17y-0; e cos(4x), e sin(4x), (-m, on). Venify that the given functions form a fundamental…

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Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: x - y +2z =4 x - y +2z -4 = 0 compare with equation Ax +By +Cz +D =0 A=1 B=-1 C=2 D = -4 point…

Q: Quest An exercise machine with an original price of $970 is on sale at 10% off. a. What is the…

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Q: Determine if the following statement is true or false. The points P1(12, 9, 7), P2(6, 4, 0), P3(0, –…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: The points P1(3,0, 1), P2(3, – 6, – 3), P3(4, – 6, – 5) lie on the same line. - - True O False

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Q: The profit function for a product is given by P(x) = - x +5x +400x – 1600, where x is the number of…

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Q: Approximate the area of the region bounded by the graph of f(x)=16-x and the a-axis on the interval…

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Q: 4. If E-1X = 60 and E-1 x = 90, find each of the following: E(x - 7) a. b. Σ-7 E(xi + 2) C.

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A: According to Newton's law of cooling, we have T(t)=Ts+(T0-Ts)e-ktwhere T(t)- temperature of body at…

Q: Consider the following higher-order differential equation. d³u d?u + - 2u = 0 dt3 dt2 Find all the…

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Q: In the figure, a 2400 kg demolition ball swings from the end of a crane. The length of the swinging…

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Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Here we have to find the equation of plane which is perpendicular to the other plane.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 6, –9) and the vector component of v…

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Q: EVALUATION Matching Type: Match the functions in Column A with their corresponding derivatives n…

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Q: 1 y = cos 6x

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Q: Find all the complex roots. Write the answer in exponential form.   The complex fourth roots of…

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Q: Part 2: Exponential Growth and Decay and Logistic Growth Model (3) Suppose an experiment was…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: To use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

Q: Suppose f( – 1) =7, f'(– 1) = 4 , and g(x) = r°f(x). The tangent line to g(r) at z = 1 is given by Y…

A: Given: gx=x3fx, f-1=7, f'-1=4   The expression for the equation of the tangent line is: y-y0=mx-x0…

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: true or false: if f’(x) = 0, then the point (x,f(x)) is an extreme point.

A: Given query is to find statement is true or flase.

Q: .f (x) = cos(-x) .f(x) = sin(8x) .f (x) = 2 sin(-5x) a) f'(x) = 2 sec(2x – 1) tan(2x – 1) %3D - b)…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: +t, 2t +t, 6t} O sis a basis of P O sis not a basis of P3.

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Q: 3. y" +3y" + 3y' ty :e-x - ylo) =o yto y" lo) y" la)= 2

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Q: [x² In x dx

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Q: Write TRUE if the statement is true, otherwise, write FALSE. 4. Suppose P and Q are both…

A: We have to find statement is true or false. In mathematical logic, a tautology is a formula or…

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: 4) The domain of f(x) = 4 cos-(3x- 1) + 5 is 3) If f(x) = 1+ x+x? then f-1(1) = a) 1 d) 2 e) non b)…

A: Since you have posted multiple questions i can do first three questions as per our company…

Q: АCTIVITY GIVEN : 2x 2x 1 2х + 3 1 f (x) = 1 –x 8 g(x) = 3(x + + 4 h(x) = 6 a.lim -4 · f (x) d.lim (8…

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Q: find dģ te fthe following Sin?x

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Q: Without using partial fractions, determine the inverse Laplace transforms of the following s-domain…

A: We need to find inverse Laplace transformation.

Q: Find the vector component of v = (4, – 1,7) along b = (1,2, –2) and the vector component of v…

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Q: Determine the inverse Laplace transform of the function below. 3. +4 Click here to view the table of…

A: Given problem:-