Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6 С.-...
A: Using Derivatives & Application of derivatives
Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...
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Q: E. Perform the indicated operation given the following function. f(x) = 1– 2x g(x) = -x² + 3x h(x) =...
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Q: 13: 3. y = V(4x + 3)3
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Q: Find the maximum or minimum value of the function. f(x) = 3x2 − 6x − 100= Is this a maximum or ...
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Q: y = tan-x +1
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Q: V9 +h – 3 21. lim h→0 h
A: Topic = Limits
Q: 2. Let R(t) = }sin 4t î – bcos“(21) j + 2t Ř. Find the moving %3D trihedral of the curve of R(t) at ...
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Q: 6. Evaluate the limits 10r – 2x4 + r3 + x² lim 4r1 + x² + x+1 5g2020 + 76 14r³ + 2 lim I-00 T2021 + ...
A: 1. limx→∞ 10x-2x4+x3+x24x4+x2+x+1
Q: cos°( VJ) y ycsc y
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Q: The total area of a cylinder of revolution is 100pi sq. ft. and the radius of the base is 5 ft. find...
A: We can find the altitude as below and verify the answer given as below.
Q: 1. y+x+y=x at ( 6, 3)
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Q: (e* + y)dx + ( 2+ x + ye )dy =0
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Q: 3. Use the Intermediate Value Theorem to show that f(a) = a2-3x +1 has at least one real zero betwee...
A: According to intermediate value theorem, if f(x) is a continuous function whose domains contains the...
Q: 2x
A: To evaluate: ∫ln e2x dx Now, note that ln e2x=2xln e=2x(1)=2x
Q: Find DE 576 || x9 Type your answer without fractional or negative exponents. Use sqrt(x) for sqrt(x)...
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Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...
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Q: To test the series e -7n e for convergence, you could use the Integral Test. n=1 Find the value of 7...
A: We can answer the question as below.
Q: Consider the following. (5x? - 4)4 y Let u(x) = (5x2 - 4) and v(x) = x. Find each indicated derivati...
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Q: Е. 46.-50 Given the function g and asked to estimate lim g(z), three students created tables. Each t...
A: The person A has used the most closest values of x to 0. So, it is the best approach because we can ...
Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...
A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...
Q: Given the graph of the cosine function f(2)3 cos z, evaluate the following limits: 1. lim cos r 2. l...
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Q: Assume that a is an angle in standard position whose terminal side contains the point (15, 8). Find ...
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Q: A graphing calculator is recommended Use a graph to find a number 8 such that 3 < 8, then cos?(x) - ...
A: Given that: cos2x-34<0.15 We have to find δ such that, x-π6<δ.
Q: Evaluate the following integral: 7 dx = 团+C 2 V2 – - 49 – 49 Note that an arbitrary constant has bee...
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Q: Current Attempt in Progress Use any method to determine whether the series converge. 21 (a) Σ k=1 Vk...
A: We have to find out the convergence of series
Q: 2. Suppose that a volcano is erupting. Readings of the rate r(t) at which solid mate- rials are spew...
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Q: Find the exact value of the sine of an angle 0 in standard position if the point (13,-84) is on its ...
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Q: Determine whether the series converges. 1 k=1 1) To determine whether a given series converges, it i...
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Q: e the ratio test to determine whether the series converges or diverges. If the test is inconclusive,...
A: Topic:- series convergence test
Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."
A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the anothe...
Q: This problem concerns the elliptic cone. Consider the equation x²/a² + y²/b² – z²/c² = 0. (a) Descri...
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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with are...
A: y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2 x~ 3.414orx =2-2x ~ 0.586
Q: Find f'(x). f(x) = e – x³ arctan(x) -(3 + 3x2 arctan(x) + arctan(x)(3x4)) x2 +1 f'(x)
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Q: Determine which of the following are ordinary differential equations and which are partial different...
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Q: Question 2 · „] Let a be the vector (2, -3, –1) and b be the vector (6, -2, 3). Find the projection ...
A: Topic = Vector
Q: 1. In each of the following, find the partial derivatives. (a) f(x,y) = ry² (b) f(x, y) = 1/y %3D 1 ...
A: As per our guidelines we are supposed to answer only 3 sub parts of the given question. So I am solv...
Q: Determine the discontinuities of the following functions and state why the function fails to be cont...
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Q: IV. Write the Laplace Transforms Given f(t) Laplace Transforms f(t) = t3 – 4t2 + 5
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Q: The number of cars produced when dollars is spent on labor and y dollars is spent on capital investe...
A: We have to calculate dy/dx
Q: () 2. Use the Squeeze Theorem to evaluate lim r COS
A: Given problem:-
Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...
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Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Po e -0.00012097t A...
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Q: 31-35 fx) = - 2x+4 [-2,2]
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Q: Evaluate the Limit. Use L'Hopital's Rule wl 2lnx – x + 1 lim х-1 х2 + хх — 2 - x→1
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Q: Which one represents the area of the shaded region?
A: The standard formula to calculate the area between two curves is given as follows: If P : y = f(x) a...
Q: CSC 6 ? What is the exact value of
A: We can find the exact value as below.
Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...
A:
Q: sin ()-/9 – a² – a V9 - ? +C 81 O sin () -av9- a + V9 – a² + C 0-sin-1 (즐) - 응2V9-2 +23v9-27 + C ○ 뽑...
A: Given: The integral is ∫ x29-x2 dx
Q: On a circle with a circumference of 38 cm, the arc intercepted an 100° central angle. Find the arc l...
A: Given : circle with a circumference of 38 cm the arc intercepted an 100° central angle
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