Find the general solution of the differential equation ㅠ y" + 25y = 13 sec²(5t), 0 < t < 10 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) =

Q: lf f(x) = 3x sin x cos x, find f'(x)= To two decimal places, Find f'(2) =

A: f(x) = 3xsinxcosx find f'(x) = ? and find f'(2) = ? here first we use formula 2sinxcosx = sin2x and…

Q: Compute (-3,-5, -1) (3,1,-4). (-3,-5, -1) (3,1,-4)= (Simplify your answer.) |

A: (-3,-5,-1)*(3,1,-4) here dot product is given  and we have to multiply this vector  formula use:…

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A: Let f(x, y)  be a function of two variables. A pair (a, b) is a critical point of 'f' if either…

Q: Evaluate the indefinite integral. Select the correct answer. X 64 64 cos(8x) + 64 cos (8 x) + cos(8…

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Q: Find d79 dx79 (-7 cos (x)). Provide your answer below: 879 dx79 (-7 cos(x)) =

A: The answer is given below:

Q: nauna Question 5 of 10 x²+x-6 runa Una JnaUnaUnaUnaUna lim Evaluate the limit 2x2-x-

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Q: Examine the graph of (a) below, and find the values given below. If the limit does not exist write…

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Q: Find the relative maximum and minimum values. x²+4y² +14 f(x,y)= e Select the correct choice below…

A: Accordinh to question,Given Function,fx,y = ex2 + 4y2 + 14

Q: Let f(x,y)=x²-5xy-y². Compute f(2,0) and f(2,-4). f(2,0)= (Simplify your answer.) f(2,-4)= (Simplify…

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Q: Define the points P(1,1) and Q(3,-4). Carry out the following calculation. Find two vectors parallel…

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Q: Let u = (8,4) and v= (9,4). Express 5u + 3v in the form (a,b). 5u+3v => (Simplify your answers.)

A: In this question we have to find the 5u+3v.

Q: Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A…

A: NOTE: Refresh your page if you can't see any equations. . w=amount of salt(in pounds) at time t…

Q: Find the linear approximation of the function below at the indicated point. f (x, y, z) = V x² + y²…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→explq = cq and limx→ck = k. (Use…

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a &amp; x=b…

Q: dy (1M1) Find dx 70x9 1+ 5x = sin(xcy²) I

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Q: Given the vector function - r(t) = (t²- 4t)i + sin(2t − 4)3 + ( + ) Find the derivative of r(t). a)…

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Q: Find the slope of the tangent line to the graph of f(x) = √√√x-2 at x = 6. Provide your answer…

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Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y)→(0,0)…

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Q: Graph the line with slope - 3 passing through the point (-2,-2). 4 D X 5 Ø ?

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Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

Q: Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below:…

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Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3we discuss about the discontinuity of the…

Q: Which of the following answer choices represents the limit definition of the definite integral below…

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

Q: h(x, y) = x²7xy - y² relative minimum relative maximum saddle point (x, y, z) = (x, y, z) = (x, y,…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: Find the Maclaurin series for f(x) = In(1+x²)

A: To find the Maclaurin series for fx=ln1+x2

Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…

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Q: You purchase a 50# case of potatoes. Once peeled, you are left with 35# of usable product. What is…

A: You purchase a 50 case of potatoes.Once peeled, you are left with 35 of usable product.

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Q: Find the vector equation of the line of intersection, if it exists, for each pair of planes. a. 2x…

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Q: Find the areas of the regions enclosed by the following curves. (a) r= 1+2cosł

A: Given :r=1+2cosθ

Q: e integral by making the given substitution. (Remember to use absolute values where appropriate. Use…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Let f(x) = 4x6 In x f'(x) = Rounding to 3 decimal places, ƒ' (e²) =

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Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: Given :Function : y=x7andy=x

Q: Opens left or right Vertex: (-7, 9) Passes through: (-4, 8)

A: Given:   Vertex: (-7, 9)   Passes through: (-4, 8)

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

Q: Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x₁ +14/3x2 9 where x1 and…

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Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

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Q: Determine the domain of the function of two variables f(x,y)=√√y + 3x. The domain is {(x,y). (Type…

A: To determine the domain of the function of two variables fx, y=y+3x.

Q: Month-end payments of $1,420 are made for 8 years to settle a loan of $121,220. What is the…

A: We have to find rate of interest in this question.

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: Speeding up

A: the answer is 173 yard/sec , since speed is positive the humming bird is speeding up

Q: Let k(x) = 2x (h(x) + 2x²g(x)). Given the following table of values, find k' (0). 0 3 3 -1 3 Provide…

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