Find an equation of the line tangent to the curve at the point corresponding to the given value of t 3π x = cost+t sint, y=sint-t cost; t = (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)

Q: Find the area under the graph of the function over the interval given. 1 √x [1,4] 25) y =

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Q: Use the Laplace transform to solve the given initial-value problem. y + 4yet, y(0) - 2 Step 1 To use…

A: By using the Laplace transform to solve the given initial‐value problem.y'+4y=e3t, y0=2

Q: 4. Terms of a sequence from sampling a signal. In electrical engineering, a continuous function like…

A: Please see the below picture for detailed solution.

Q: Solving Differential Equation by Laplace Transform Solve the following initial value problems using…

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Q: I'm not understanding what the answer is here? 77 and 71? Because that is not correct.

A: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch. To…

Q: The Cartesian coordinates of a point are given. (a) (-6, 6) Find the following values for the polar…

A: Polar coordinates

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

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Q: (Dº − 4D³ +3D³),y = −27

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Q: f(t) = t cos t L{f(t)} = (s > 0)

A: Follow the procedure given below.

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

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Q: 2) A) (::.. y" + 9y = 0 B) i y" + 9y = 0, y(0) = 0, or else show that it has no solution ... )…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Current Attempt in Progress Evaluate the integral by applying the following theorems and the power…

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Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: 2²2 +2²2² = 12 25 (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = (-5,0 (x,…

A: The equation is  x225+y29=1

Q: Please, could you explain how do they find the x-limits as functions of y and z? then z-limit as a…

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Q: If f(x) = = ∞ n=0 n ∞ -2” and g(x) = Ỹ ( − 1)" mæª, find the power series of(f(x) – g(x)). n n=0 Σ…

A: The objective of the question is evaluate the sum of two series.

Q: b) 0 em dac

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q Ay 25- 20- 15- 10- 5A…

A: given,

Q: c²e-2x³ dx [ +C

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: 3x 1+x* 4. Find a power series representation for the function f(x)=; and find its interval of…

A: Please see the below picture for detailed solution.

Q: ƒ7 In ()dx if sec¹ (3x) dx

A: Integration by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫ddxf(x)·∫g(x) dx dx

Q: Use a double integral to find the EXACT area enclosed by the graph of r = 3+3 cos 0. 8=1/2

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Q: Evaluate the integral and check your answer by differen NOTE: Enter the exact answer. [x x(7+x²) dx…

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Q: Solve the problem. 10) Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 5.

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Q: Find the derivative. F'(x) if F(x)= (ex¹ +5) 3 F'(x)=

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Q: please solve d-f now. thanks.

A: We have to find the composition of functions.

Q: 3. A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well…

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Q: Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the…

A: This question can be solved using the concept of exponential growth model.

Q: Solve the exponential equation. Express the solution in terms of natural logarithms or common…

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Q: 2- Évaluer les intégrales suivantes: a = √ x√x + 5 x ₁² dx x2 2- Evaluate the following integrals:…

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Q: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch.…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Find Ay and f'(x) Ax for the given function. 13) y = f(x) = x + x2, x = 8, and Ax = 0.05

A: Q13)

Q: ;) Choose/box the correct statement. To evaluate x³ 3x² +1 dx x²-1 we begin the calculation by A.…

A: This question can be solved using the concept of decomposition of improper rational function.

Q: 5. The tank shown below is full of water. Find the work required to pump the water out of the spout.…

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Q: h(x) = -√√x+5 domain range

A: We will calculate the domain and range.

Q: Find f'(x) when f(x) O O O f'(x) = O O f'(x) = f'(x) = f'(x) = f'(x) = GREEN (x² + 3) cotx 6-…

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Q: I. Perform the indicated multiplication on the differential operator D. (D+2x)(D-3x)

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: We have to test the series

Q: Consider the following. u = (-7, 3, −2), v = (0, −4, −3) (a) Find the projection of u onto v. 42 25…

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Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: lo 12-dxdy = (1 2* dx) (ody) Select one: O True O False

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Q: What is the symmetry of f(x) = 2x4 - 5x² +9? Select one: a. odd b. neither O C. even

A: Solution of given question is written in below steps.

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

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