Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b). The x-intercept is The y-intercept is

Q: y" + 3y' + 2y = x2

A: We have to solve given differential Equation.

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

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Q: dx (x² – 1)²

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Q: 15. ſ sin² 3t cos 3t dt

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Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: Find the area of the region enclosed by y 1.25x and x 3.5 — у?. -

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Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). %3D (Use symbolic notation and fractions where needed.)…

A: We need to find the 7th order derivative of the function f(x) given by

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 4x + 7 between…

A:

Q: 2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Use partial fraction

Q: Consider the limits. lim f(x) = 5 x→7 lim g(x) = -12 x→7 Evaluate the limit using the limit law for…

A:

Q: f(In) For the function f(x) = x + 3x + 1, write Newton's formula as En +1 = F(In) = In - %3D for…

A: Topic:- application of derivatives

Q: 10. Evaluate the limit of 0/(2 sin0) as 0 approaches 0.

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Q: This equation is.. differential .equation dy y2 =x² + dx %3D ху Bernoulli O Linear O Homogenous O…

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Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x>5 To evaluate ∫010fxdx

Q: dy Compute the derivative y' dt 2t – 9 - y = 5t 2

A:

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: ∫z6z7+2dz

Q: Each unit of a product can be made on either machine A or machine B. The nature of the machines…

A: Here, from the given details, C(x,y)=30+x26+260+y39 That should be minimized using…

Q: for the following differential equation (assume zero initial conditions), write the state variables…

A: Solution: Given

Q: Find dy dx 21) tan y = eX + In 4x eX + 4 A) - sin² y хeх + 4 B) - xcot y

A: Given;  tany=ex+ln(4x).

Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

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Q: The intelligence quotient, or 1Q, is a measure someone ability to reason and solve problems (some…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Solve the system of linear equations using Gauss-Jordan Elimination. -2 2 -4 7 [X1 8. -9 10 -6 12 X2…

A: To find the solution of given system of equations.

Q: 1

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Q: 4 The net signed area in the above graph can be written as (mæ + b)dx, where c = d and b = = U

A: The net signed area in the above graph can be written as ∫cdmx+b dx, where c=?,  d=?m=?, and b=?

Q: Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a)…

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Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

Q: 3 xp- 4.

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: Find the linear approximation at x = 0 to each of f(x) = (x + 1)², g(x) =1+ sin(2x) and h(x) = e2*.…

A: To find the linear approximation at x=0 to the given functions using the formula:…

Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Let s(t) = 4t° – 6t2 – 144t be the equation of motion for a particle. Find a function for the…

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Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n3 – 4 | O diverges O converges to 1 O converges to -1…

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Q: Find the solution of the following BVP given that y(0)=2 and y(1)=0. d’y_12dy. dx +36y = 0 dx

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Q: Evaluate the limit. sin (x) sec (x) lim 2х

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Q: Write an expression for the nth term of the geometric sequence. Ther a = 6, r = 1 n = 12 2 an %3D…

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Q: A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls…

A: Given :d(t)=16t2ft

Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: Indicate whether the following statement is true or false. The function f (x) = |x| is continuous at…

A: Solve the following

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

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Q: Sand falls from a conveyor belt at a rate of 10 m^3/min and accumulate in a conical pile with the…

A: Use derivative concept

Q: Determine which graph corresponds to the area enclosed by the curves y 3x and y = x2 + 7.

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Q: Find the average value of the function f(x,y)=y2√x +5 over the rectangular region R=[2,4]×[3,4].

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Q: Use the formula k(t) : ||r() × r"(t)|| to find K(t). %3D r(t) = t²i + t®j %3D

A: Given that,     r(t)=t2i+t9j

Q: Given the following functions: f(x) = cos(x) g(x) = x7 + 1 d d Find f(g(x)) and g(f(x)). (Use…

A: Given the following functions: fx=cosxgx=x17+1To find ddxfgx and ddxgfx.

Q: You are given the integral 64x2 - 81 dr. I = 6x In order to compute this integral, we may attack…

A: To find out the integration.

Q: f(x) = lnx/sqrt(x) find the following: first derivative: Intervals where f is…

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Q: 260. A bomber plane is flying horizontally at a velocity of 440 m/s and drops a bomb to a target h…

A: This is a problem related to derivative of the triangle. Based on the general formula and concept we…

Q: Use a double integral to find the volume under the plane z = 20x + yand over the rectangle R {(x,…

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