Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 Σ n3(1 + nt)p n = 1

Q: 11. (a) Find F'(x) using the limit definition of the derivative if F(x) = F'(x) will result in zero…

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Q: Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the…

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

Q: 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 0 1+xy H.w2: evaluate f

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Q: Find the limits. f(x) = x + 2 (a) (b) (c) lim X-15 g(x) = x² f(x) = -3 lim g(x) = 0 X40 X--5…

A: Solve the given

Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

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Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

Q: O a. La función no tiene punto de inflexión. b.x = 1 & X = - 1 O.c.x = 1 d.x = - 1

A: We can find the inflection point as below.

Q: Q2. A second-order non-homogeneous differential equation is given by dy d²y dx² - - 10- (a)…

A: We can solve the given differential equation .

Q: sec²(x) √2-3tan (x) dx

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Q: 3. Find the exact value of surface area of the solid that is described by the intersection of the…

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Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

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Q: If the curve y= from (0, 0) to (3,9) is rotated about the x-axis, the integral that represents the…

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Q: Solve the triangle a = 6₁ c = 5, B = 54 b = S لان A=

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Q: a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the…

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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Q: Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable…

A: Given dIdt+RLI=1LVt I0=0, R=130Ω, L=5H and Vt=10 V

Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

A: We can find the answer as below.

Q: Find the linear approximation L(x) of the function g(x) (1+x)1/3 at a = 0. Then use L(x) to…

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Q: True

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Q: If the region under the graph of Select one: True False y = x¹ + from x = 1 to x = 5 is rotated…

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Q: Work Problem 3 a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y)…

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Q: 3x-6 Evaluate je ³*-6 dx O 3+C

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Q: Find the directional derivative of the function at P in the direction of V. g(x, y) = √√√x² + y2,…

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Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

Q: 3. f(3x - 5)(2r² - x + 5)dx

A: Topic = Integration

Q: In problems below, (a) identify the independent variable (use 't' for the independent variable if an…

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Q: Determine whether the following statement is true or false. If y = sin¹ (4x4), then = 16x³sin³ (4x4)…

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Q: Evaluate the iterated integral by converting to polar coordinates IT Sxy dydx

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Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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Q: Determine whether each of the following vector fields F is path independent (conservative) or not.…

A: use partial derivative for finding the potential function.

Q: Calculate dz/dt given the following functions. Express the final answer in terms of t. f(x, y) =…

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Q: 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction…

A: A detailed solution is given below.

Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

Q: * If {an} and {bn} are 2 sequences defined by 5n 5/n +31 ³ an = n and bn = sin-¹ (-) then lim (an +…

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Q: Question 15 of 20 < View Policies Current Attempt in Progress Determine whether the statement is…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: Use the Ratio Test to determine if the series converges. 2k Σ k=1 k 149

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Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: The graph below shows a transformation of y = 2 5+

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

Q: (A) C B) a (A) a B d с dx ex√4-e²x the integrand is transformed into? (a) cos²0 (c)-sin²0 (b)-sec²0…

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Q: 5 ['s (Use symbolic notation and fractions where needed.) Calculate the integral, assuming that 5…

A: The objective is to find the integral.

Q: expand e^2x in powers of (x-1)

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Q: (f) If F¹(x, y) = 5y sin(xy)i + 5x sin(xy)j, then f(x, y) =

A: Given vector field F→(x,y)=5ysin(xy) i→ +5xsin(xy) j→ we need to find function f(x,y) such that…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (2³²₁ -j+e-6tk lim t0 e³ti+…

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Q: K Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: Rewrite the following quadratic function in standard (vertex) form. f(x) = 2x² + 12x +16 Enter exact…

A: We will solve.

Q: Evaluate the following integrals: 1. dx 2. f6²+1²+6 dr 3. (3x - 5)(2x²-x+5)dx 4. Solve the initial…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1,1₂ = -4,13 = 7, and A4 = - 7. Use the following…

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Q: x³ Evaluate S- -dx x + 2 In/x* +2+c 4 O In x4 +21+ C 00 (x² + 2)² +C 2 O undefined

A: The given integral is: I=∫x3x4+2dx     ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: We have to find the value of N.