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

Q: Find a parametric representation for the surface. the part of the cylinder x² + z² = 49 that lies…

A: Given :Surface : Planes :  and Find the parametric representation for the surface.

Q: The gradient of f(x, y) = xy at (x, y) = (2, 1) is

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Q: uture Value of an Investment The newly opened Mario's Trattoria is expected to produce a continuous…

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Q: Test the series for convergence or divergence using the Alternating Series lest. Identify bn B…

A: The given series .The aim is to check the convergence of the series.

Q: The graph below shows the profit P from the daily production of x thousand kilograms of an…

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Q: S SS z d E with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) Find z dV, where E is the solid…

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Q: What is the value of the logarithmic or exponential expression? Select True or False for each…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: Given the sequence an = 3n² + 6 n² + 2 This sequence is Select an answer This sequence is Select an…

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: ,

Q: If cos(0) = sin(0) = and is in the 1st quadrant, find the exact value for sin(0).

A: given value

Q: The polynomial function f(x) = -x³-x² + 4x +9 has one positive zero. Between what integers does this…

A: To determine the integers between which a positive real zero of the polynomial  lies.Note: Since the…

Q: Use L'Hopital's Rule to evaluate the following limit. 3x³-4x² 11³ +2x limx→

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Q: The management of National Electric has determined that the daily marginal cost function associated…

A: C'(x)=0.00003x²-0.03x+22

Q: You have chosen three breeds of chicken for your farm after studying their egg-laying capabilities.…

A: Total 50 chickens,White Leghorns:10Goldlines : 30Rhode Island Reds : 10The average number of eggs…

Q: Find the area between y = e* and y = e³* over [0, 1]. A =

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Q: follows: Find the indefinite integral on the domain of positive real numbers for the following…

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Q: SOLVE STEP BY STEP IN Solve the following system: (2x-y>2 (2x-y 20 DIGITAL FORMAT

A: The given system is:

Q: Calculate the value of a that will make the function below continuous. Answer: 0 TO If it is not an…

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Q: Consider f(x)=√4x +3. • Use sqrt for the square root. a. Compute: f(a) = b. Compute and simplify: c.…

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Q: For the following indefinite integral, find the full power series centered at x = 0 and then give…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (a) Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of…

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Q: Write the formula for Newton's method and use the given initial approximation to compute the…

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Q: Evaluate 28 - 19 the definite integral d x

A: Evaluate the definite integralI=∫−1928dx

Q: . Complex Integration . Cauchy's theorem and consequences of the theorem . Cauchy Integral formula,…

A: We find  along along the curve parametrized as  from point where  to point where .

Q: identify if the given differential equation is exact or non-exact.   (2xy^2 - 2y^3) dx + (4y^3 -…

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Q: T Let a = ci + j and b = 8i + 15j. Find c so that the angle between a and b is 6 Round your answers…

A: The angle between two vectors  and  is .

Q: Consider the sequence (an)nzo which starts 6, 12, 18, 24, ... . a. What is the next term in the…

A: Sequence is 6,12,18,24,........

Q: Find the sum of the convergent series by using a well-known function. 47 Σ (−1)n + 1. 7"n n = 1

A: ∑n=1∞(−1)n+14n7nn

Q: te | ry xy ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: Evaluate ∫Cxy6ds where C is the right half of the circle x2+y2=9The right half of the circle x2+y2=9…

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and for the…

A: given function

Q: Productivity and yield of cultivated crops are often reduced by insect pests. The following graph…

A: The graph shows the relationship between the yield of a certain crop, f(x) as a function of the…

Q: For the given function f(x) and values of L, c, and e> 0 find the largest open interval about c on…

A: Given:

Q: (5) Let F² = (yz, x² + 3y ², xy + 22). F' is a conservative vector field You do NOT need to check…

A: To find the potential function for the vector field F→=(yz,xz+3y2,xy+2z), we need to find a scalar…

Q: We want to construct a box, without a top, like figures 1 & 2 below. We need to use pieces of square…

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Q: Question 4.12 Assume you have been given the following: -4° Zet P = [²44], 7₂ (6) = [20²0 + 46²² =…

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Q: Use the given transformation to evaluate the integral. HINT use the jacobian. u=x+y, v=-2x+y ∫R…

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Q: Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) =…

A: The given function is .The objective is to find the local extremum of the given function.

Q: the [w 0 01 The determinate of this matrix 2 3 2 equals to L2 2 21 constant number. he value of…

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Q: A population numbers 11,000 organisms initially and grows by 16.3% each year. Suppose P represents…

A: P=a⋅btGiven Initial population (P0)=11000 organismsGrowth rate =16.3% per year

Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 4x 0.2x² (for 0 <…

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Q: Antiderivatives Find the most general function ?(x) such that ?′(?)=(5/(x)^1/3)−5(x^2)^1/3 F(x)=

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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: Find the given derivative. Dx 8x 1 3 + 9 5|+|mx X

A: Let f(x)=8x−13+9x43

Q: Calculate the following limits: a) lim (x²-5x+7) b) lim (-x² +7x+5) X→ +∞ x+∞ Answer: a) = b) = c) =…

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Q: Classify all the critical points of the function f(x,y)=(x^3)-(12xy)+(8y^3)+(10)

A: To classify all the critical points of the following function.

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A: To evaluate the following indefinite integral.

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. cos(x) Σ…

A: By using a Maclaurin series to obtain the Maclaurin series for the given function.

Q: Let f f(x) dx = 11 and ₁ f(x) dx = -15 Evaluate the following integrals. So 5 f(x) dx So f(x) dx Use…

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Q: Let h(x) = x³. Use the Intermediate Value Theorem to show that there is a number between 2 and 3…

A: The given function is; h(x)=x3

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Givenfind x interceptFind y intercept