Use the Ratio Test to determine whether the series is convergent or divergent. Identify an n=1 Since lim 718 Evaluate the following limit. nπ (-9)n-1 lim |³0+1| 7-8 an a n+1 --Select---

Q: Evaluate the limit lim (t + 6)²i+ Enter 3 t~ 67 +ln(t + 6)k your answer in i, j, k form.

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Q: 5. Identify the focus of the parabola given by Y= 3(x − 2)² +6 (2, 1) 12 O (-2, #1) O (-2, 11) ○ (2,…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt dx…

A: The given equation is x²+4y²+6y=7

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Q: 3 Evaluate the integral 1 = = = 3 dz -

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Q: 13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A.…

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Q: 6 Fig.11.51 shows part of the curve y = 5 + 4x-r². A is the maximum point of the curve. Find (a) the…

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Q: Q2-61 The eigenvalues co efficient are : and eigen matrix 6 *²= [² 2 =-=4] x 12 X₁ = 0 g * = [7²³]…

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Q: When integrating integrals of the form sin³ sin cosa da where i is even and k is odd, you should x O…

A: We solve the given problem using the Pythagorean concept.

Q: Find the global maximum and global minimum of the function f(x) = x²e³ on the ellipse x² + 2y² ≤ 6.…

A: The given function Let

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Q: The function shown on the graph above, has the formula f(x) Prove algebraically or numerically that…

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Q: the answer that is provided is not correct all of them except number 1. Can you please try to do it…

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Q: 1 Find the local and absolute extreme values of the function f(x)=x√1-z on [-1,1] (Show your work)

A: Absolute extrema are the largest and smallest value of a function that will ever be.

Q: Calculate the value of a that will make the function below continuous. f(x)=x²-2.x ax² +2 if x>1 If…

A: We have to calculate the value of a that will make the function below continuous.…

Q: Find the first partial derivatives of the function. 8exy x + y f(x, y) =

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Q: then a 7 d 41 det b 7 e = с 7 f det a b C -4 d -7 -10 e = and 41-41 a det b с d a d e = 3, and det b…

A: given

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A: To find the function that models the fox population t years after 2000, we can use the formula for…

Q: Let f(x, y) = x² + 2y + 40xy. List the critical points:

A: Solution-

Q: Let r(t) =< 4t¹ - 4, e³t, -sin(-3t) Find 7' (t) T¹ (t) = <

A: Let To find .

Q: Evaluate the limit, and show your answer to 4 decimals if necessary. Iz² - y²z xyz - 1 lim (x,y,z)…

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Q: What are the coordinates of the focus of the parabola? (x+5)² = -16 (y - 4) Enter your answer by…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

Q: Find the domain of the function g(x) = x³ + 11x - 2 X - 3|- |x+1|

A: To find the domain of the following function.

Q: 7. A solid is bounded below by a circular cone (vertex at the origin) and above by a sphere (center…

A: The solution is shown in step-2

Q: Krite the Taylor series for fox) = sincx? at x = π/₂ a { cn (x-1/₂)^. find the first 5 coefficients.

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Q: Give the equation for the asymptote of the graph of the logarithmic function h(x) = ln(x + 4) + 7.

A: h(x)=12ln⁡(x+4)+7

Q: Find a function of the form y = Asin (kx) + C or y = A cos(kx) + C whose graph matches the function…

A: To find a function of the form  whose graph matches with the function shown below.

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A: C'(x)=0.00003x²-0.03x+22

Q: Write an equation (any form) for the quadratic graphed below: 5+ 4 -4-3-2 327 2 1 3 2 Lon

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Q: For the function f(x,y,z) = 5 + xy³ − 4z³, find fx, fy, and f₂. fx² f₂ N 11 = 11

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Q: Estimate the area under the graph of f(x) = 36x² over the interval [-3, 6] using five approximating…

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Q: Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in…

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Q: Find the sum of the infinite series (-1)" n! M8 n=o

A: The given series is

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Q: Given the function: p(v)= -8cos(v) - 3tan(v). dp (v) dv Your solution can only contain the main…

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Q: Write the augmented matrix for the following system of equations in the table below. You'll have to…

A: Write the augmented matrix for the following system of equations.u+v+2w=12v−5w=23u+5v+w=1

Q: Evaluate the following integral using the method of substitution. √ √₂- /2 + √x dx

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Q: Find the limit. 2xy lim (x,y) →(0,0) x² + y² O The limit is The limit does not exist.

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Q: _. Let ƒ(x) = (x³ + x² + 1)e²³+1 and g(x) = ex³+¹ (a) Draw a rough sketch of the graphs of the…

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Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $12 the…

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Q: Find the radius and interval of convergence of the ff power series B (x-2)^ 2n-1 ^=U 2

A: The power series:Using the ration test:

Q: Evaluate 16120 (x + y)ds, C: x = 2t, y=-2t + 2, for 0 ≤ t ≤ 2.

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Q: Evaluate Lyds, yds, C : x = t², y=t, −4≤t≤ 4

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Q: Consider the polynomial function. f(x)=x-2x³ +11²-52-6 Which statement correctly describes the…

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Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A: The given total profit function is .The aim is to find the maximum total profit.

Q: Evaluate the definite integral L₁ (²-3) de using the Fundamental Theorem of Calculus, Part 2. Enter…

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Q: Find the derivative. y = ex. 3x6 y= None of these О бе х. 18х5 О 5xe5х-1.18x5

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