Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x cos y = 2, cos (y) x.sin(y) T 3 y' = Additional Materials eBook 4, T 3

Q: if: z = cos 0+isin prove that: 1) 2+1 z+1 2)221 +1 = itan 0 z² = Z

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Q: 3. fx³ (a²+x²)¹/² dx

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: For a geometric sequence with first term a1 and common ration r is given by an=a1rn-1, for…

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: topic- application of derivatives

Q: Carbon-14 decays at a regular exponential rate. The half-life of carbon-14 is approximately 5730…

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Q: Suppose your yearly demand for renting DVDs is Q = 20 − 4P.   If there is a rental club that charges…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is where q=number of…

Q: The solution was wrong. What is the correct solution?

A: Solve the following

Q: Determine the general solution of the differential equation

A: Follow the procedure given below.

Q: the region enclosed by y = e¹¹, y = 5², and a e = 1. Find the area of the region.

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-1)^-1_57 47n3 n = 1…

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Q: A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of change of each…

A: topic- application of derivatives

Q: e² 1+2e +e S Select one: O A. dx 1+6² 2 1+6² +C +C O B. OC. +C OD. +C -2 Ite -1 1+e

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Q: Get the interval and radius of conv this given power series (x - 3)" n

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Q: Evaluate the integral [x x cos x dx

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Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: Evaluate the integrals using partial fraction 3y²-y+! S y³ - y² dy

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Q: x(t) = L−¹ x(t) = L−¹. x(t) = L−1 .2 S² + 5 (3s² +9) (7s² - 5s +6) s² (s + 2) -4s² - 4s - 4 (s +…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Consider the function f(x)=5x2−9x7f Let F(x)F be the antiderivative of f(x)with F(1)=0 then f(x)

A: we have to find the function F(x) .

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x - 5x² and…

A: Given that equation of parabola y=4x-5x2let ,equation of line y=mx   where slope=m which is devide…

Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

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Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: Use Linear Approximation to estimate Af = f (7.01) - f(7) for f(x) = x². (Use decimal notation. Give…

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Q: Integrate fx cos(4x) dx fa

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Q: Integrate S 2x² (x − 1)(x² + 1) de using partial fractions.

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Q: Use the given information to find the exact value of the trigonometric function.  cos θ = 4/5 , θ…

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Q: 3) [ Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

A: Given :-4x3y-16dy=6x2y2-10dx

Q: Find the point(s) on the surface at which the tangent plane is horizontal. z = 3x² - y² + 4y ) (x,…

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Q: B a A b Use the right triangle and the given information to solve the triangle. a=2, c = 4; find b,…

A: Let's solve given triangle.

Q: Set up the definite integral required to find the area of the region between the graph of y = 13-²…

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Q: 3. Determine the radius and interval of convergence of 8 k=2 7k (x - 5) k k

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Q: An aquarium 7 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of…

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: 1. Determine the area of the region under the curve y=x√(x² - 1) 2. Determine the area of the region…

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Q: Workout Problem j Part a: ( 1. Find the domain of the vector function r(t) =

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Q: Find the Taylor or McLaurin series for the following functions f(x) = = x a=0 - 2x "

A: We have to find the McLaurin series for the given function.

Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: Solution is given below:

Q: (x + 2y-1)dx − (2x + y − 5)dy = 0

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Q: 1. y (4x + y) dx -2(x²-y)dy = 0 2. (2xy4e + 2xy³ + y)dx + (x²y4ey - x²y²-3x)dy = 0

A: We have to find Solution for given D. E

Q: IV. Approximate the following up to 4 decimal places using Maclaurin’s series. 1. sin (110°) 2.…

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Q: Let f(x)=√6- x and g(x) = x² - x. Then the domain of f o g is equal to Question Help: Video Message…

A: Given- f(x)= 6-x f(g(x))= 6-x2-x f(g(x))= -x2+x+6 Domain of f(g(x))- -x2+x+6≥0 x2-x-6≤0

Q: The differential equation Find such a solution and then give the related functions requested. dy =…

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Q: Find aw/as and ow/ot using the appropriate Chain Rule. Function Values w = y³ - 7x²y x = e³, y = et…

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Q: Find the area of the shaded region. (-11/4, 11/2) 10 y 8 x = y² - 6 y 6 4 -2 x = 5 y-y² 5

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Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Let f(x)=√x - 7. Then lim h→0 f(3+h)-f(3) h 1 2√3 If the limit does not exist enter DNE.

A: Laplace transform:- If limh→0f(h)g(h) is of the form 00 then limh→0f(h)g(h)=limh→0f'(h)g'(h) and so…

Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = -2x - 3y c = 4, P(0, 0)

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