Find the general equation of the plane that contains the point (2, 0, 3) and the line x =−1+t, y = t, z= −4+2t.

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Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: At what speed should a fish swim upstream so as to reach its destination with the least expenditure…

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Q: Find the exact value of the function. √7 3' В tan given tan ß= E 2₁ with 180° <B<270° В 2 (Type an…

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Q: (a) Find the averge value of f(x, y) = curves y = 0, y = x², and x = 1. xsin y over the region D…

A: Solution: f(x,y) = xsin(y)

Q: Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k −…

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Q: If r(x) = -cos (x + 9) +7, determine the antiderivative of r(x). (Do not include the constant C'in…

A: In this question, we want to find the antiderivative of the given function r(x).

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Q: Precalculus You have 5% and 20% but need to create 10% solution of 1,000 miligrams . How many…

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Q: Perform the matrix operation( multiplication of 3x3) 1 3 2 1 4 -3 02 3 LO 0 -4 [0 3 0 0 2 -1] 2

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Q: 3 12 Find the exact value of sin (a + B), if sin a= and sin ß= 5 13' sin (a+B) = ? OA. -16 65 OE. 33…

A: Given that sin α=35 and sin β=1213, with α and β in quadrant I

Q: Find the present value of a continuous income stream F(t)=30+5t, where t is in years and F is in…

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Q: 2 termis U

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Q: -y(2x+y) x(x+2y) - y'=-

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Q: Solve the given differential equation by undetermined coefficients. y" + 7y' + 6y = 18 y(x) = || X…

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Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: Solve the given differential equation by undetermined coefficients y" - 2y' 3y = 12ex 9 y(x) = -

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Q: 4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. log 6X log…

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Q: 5. [tan³x sec³x dx

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

Q: ms ion Co. % 5 9. (x²-2x)y" + 2y = 0; 10. x²y" - xy' + 2y = 0 ; 11. x²y" - y' + y = 0 ; Xxo 12. y" +…

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Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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Q: integral

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Q: 1 Q BAS 6 2 [//dx Which of the following is the integrand in the definite integral above? Select the…

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Q: Evaluate the following integral: Stan x sec³ x dx

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

A: This question is related to Laplace transform, we will solve it using given information.

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Let f(t)= F"(t), with F(t) = 5t2 +t, and let a = 4 and b=7. Write the integral f f(t) dt and…

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Q: Find the gradient of the function at the given point. Function f(x, y) = x² Point (4,4) Vf(4,4) = x²…

A: In this question we have to find the gradient of the function. Note: As per our policy we can solve…

Q: Find the area between the curves. 1/5 6/5 y=x, y = 4x ... The area between the curves is (Do not…

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Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x…

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Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) x = s+t,…

A: We can answer both the answer as below.

Q: y = (2x₁³ - 6) 9 3 Find day 3 dx²

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: Verify the identity. 1 - cos(a) sin(a) 1 - cos(a) sin(a) sin(a) 1 + cos(a) 1- cos(a) sin(a) 1 1 +…

A: Given,…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Express in exact form: In(x² + 1)dx

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Q: Solve the problem. 16) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: In this question, we need to find the time intervals in which the height of roller caster is…

Q: Evaluate the limits. If a limit does not exist, enter "DNE". You may use a GRAPH on Desmos or plot…

A: Here we have to use the concept of limit

Q: 1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

A: Note :- These are multuple questions and according to our comapny guideline we can do maximum 1…

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: I'm looking for a more expanded explanation on how to graph f(x) = -3sin(x).   I'm not…

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Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

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Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.