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Q: Find the derivative. of arctan (14) dt dx 0.3

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Q: The table gives the values of a function obtained from an experiment. Use the table to estimate…

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Q: a) lim (1+4)*

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

Q: Use the Root Test to determine whether the series is convergent or divergent. 00 Σ (² + 2)²² 1+ n n…

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Q: Use the product notation to rewrite the following expression. (22 − 4) · (32 − 4) · (42 − 4) = Π

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Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 3360 yd of fencing to enclose a…

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Q: Test Identify b 00 Σ(-1)^_ n = 1 Evaluate the following limit. lim b 718 3n+ 5 n Since lim b? 0 and…

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Q: Sketch the graph using radians by creating a table of coordinates pairs using domains -2 π to 2 π,…

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Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building…

A: a) The average velocity on the interval [1, 3] is given by: ⇒average velocity = (change in…

Q: Find the interval of convergence of n=2 (x-4)" In (5n) (Use symbolic notation and fractions where…

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Q: If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

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Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: A graph of the f(x) has been given and based on we will have to prepare a graph of f(2x).

Q: P₁ =1.03 P2 0.286 (PT) 0.978

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Q: f(x, y, z) = 2x − 3y + 8z, (-6, -9,7) A) -12i - 27j + 56k C) -6i - 9j + 7k B) −12i + 27j + 56k D) 2i…

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Q: Find the derivative. d dz π " cos(t³) dt

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Q: 5. Using Green's theorem evaluate ſ [(x² + y²)dx − 14xy dy], where C is the closed curve of the…

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Q: Let f(x): Compute f(x) = f'(x) f"(x) f""(x) = f(iv)(x) = f(v)(x): = = = = 4 + 4x X We see that the…

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Q: In 2000 (t=​0), the world consumption of a natural resource was approximately 13 trillion cubic feet…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. If you…

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Q: Suppose that a colony of bacteria grows according to the natural law of growth with a growth…

A: Suppose that a colony of bacteria grows according to the natural law of growth with  a growth…

Q: Find the unique solution to the differential equation that satisfies the stated condition. y² dy dx…

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Q: Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. I -1.0 2…

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Q: Refer to the figure. Show that a + ß = y, and find the numerical value of tan(y). 8 α tan(y) = a + ß…

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Q: Estimate the area under the graph of f(x) = 21-a² n [0, 4] by dividing [0, 4] into four equal…

A: We need to find the area under the curve using the right endpoint rule.

Q: Find the exact arc length of the curve over the stated interval. y = 5x²/³, from x = 1 to x = 8…

A: We know that the arc length formula Arc length=sqrt(1+(dy/dx)^2) dx

Q: If f(x) = sin (2²), which of the following is true ? (A) There is a local minimum at x = 0 (B) There…

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Q: Find the function f(x) described by the given initial value problem. ƒ"(x) = 0, ƒ^(-1) = -5,_ƒ(-1) =…

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Q: K A clothing company determines that its marginal cost, in dollars per dress, is given by the…

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Q: Which of the following integrals converge?

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Q: Given the differential equation y"-4y= 2e-t-6e¹t, y(0) = 0, y'(0) = -1 Apply the Laplace Transform…

A: y''-4y=2e-t-6e4ty(0)=0y'(0)=-1

Q: Referring to the graph above, which of the following statements is correct: OA. f"(x) 0 for all a…

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Q: Find the following coefficients. C3= C4 = C5= C6 = C7= 8 Write the Maclaurin series for f(x) = 4x²…

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Q: Find the area of the region bounded by the spiral r = 70 for O≤OST. The area is (Type an exact…

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Q: Let F = (3x²y + y³ + 8eª)i + (5e²² +48x) 7. Consider the line integral of Faround the circle of…

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Q: Find dx dt dy dt dx dy dt dt = 11 = and dy dx x = 5t 5ln(t), - y = 8t² - 8t-2

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Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

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Q: Use the given transformation to evaluate the integral. x - 4y 8 dA, where R is the parallelogram…

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Q: Consider the following. x = e-5t, y = est (a) Eliminate the parameter to find a Cartesian equation…

A: The Given Parametrization of the curve is x=e-5t and y=e5t

Q: Let P(x) = : 5x² + 7. Estimate the slope of the tangent line of this function at the point x = 4.…

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Q: Evaluate the limit assuming that limx→-3 f(x) = 5 and limx→-3 g(x) = 1. (Use symbolic notation and…

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Q: 2. Evaluate the following expressions without the calculator: a. log: 81 b. c. log 0.24

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Use the Fundamental Theorem to calculate the definite integral. Give an exact simplified answer. 1…

A: I=∫-1111+y2dy Here the fundamental theorem of Calculus:  ∫abf(x)dx=F(b)−F(a)

Q: Find f(x) by solving the initial-value problem. f'(x) = 2e - 8x; f(0) = 5 f(x) =

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.12 trillion. In 2013, total federal…

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Q: At what point(s) on the curve x = 3t² + 4, y = t³ - 4 does the tangent line have slope 1/² (x, y) =

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Q: 10. * Below you are given the graph y = f(x). The linearization of f(x) at x = 4 is graphed as well,…

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Q: A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius…

A: Radius of the sphere ( R ) = 18 cm Radius of cylinder( r ) = 5 cm Formula used  Volume of the sphere…

Q: Use spherical coordinates. Find the volume of the part of the ball p ≤ 10 that lies between the…

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Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

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Q: A box with a square base and open top must have a volume of 442368 cm³3. We wish to find the…

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