dy dx + 2y = x³e-2x

Q: Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

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Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: -5.4 Rewrite e =h as an equivalent logarithmic equation. Enclose arguments of functions in…

A: Given :- e-5.4=h To Rewrite :- The given equation as an equivalent logarithmic equation.

Q: Determine the following limit: 2e 2x Him (2²-2-2) x-0

A: limx→02ex-2x-25x2

Q: Find the area of the specified region. Inside the limacon r- 8+4 sin @ O 72m+ 64 O None of the other…

A: To find the area inside the limacon r=8+4sinθ Graph

Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: Graph a vector, opposite to the given vector, that has an initial point at the origin. 02 PENCIL…

A: Let r is the given vector.We can see that given vector is passing through the point (-7,2) and…

Q: What is the volume of the solid created when the region under the curve -4? (Solve using any y =…

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Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

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

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: Find the Laplace tranform of the ff: 2x2

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Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: e = exp(1) is called the exponential function. Which of the following are true?

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Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: What is the approximate volume of the solid created when the region under the curve y = cos z on the…

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Q: Question 8 What are the domain, range, and period of the function f(θ) = –3cos(–2θ)? Answer in…

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Q: əz Find when u = 0, v = 2, if z = sin (xy) + x sin (y), x = 3u² + v², and y = 2uv. du

A: Use chain rules

Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: What is the product of 5 and 1.0\sqrt(72) in simplest radical form? Please explain, correct answer…

A: 172 = 136*2           = 1(36)*2          =  162 now we rationalize it         = 162* 22         =…

Q: 2. For each problem, find the length of the curve. (a) y = (e+ e-*) on the closed interval 0 ≤ x ≤…

A: Solving the problem

Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

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Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y=e -5x The (exact)…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: Use the Chain Rule to find az/as and az/at. Z = tan(u/v), u = 8s + 2t, дz as дz 34 || || v = 2s - 8t

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Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: 9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: pls solve within the time given. and make sure it is 100% correct thanks, Determine the concavity…

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Q: A line passes through the points A(-1, 3, 1) and B(2, 0, -1). Find a vector equation of the line. A)…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

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Q: Consider the function: f(x,y)=3xye 8x²-8xy + y²

A: We know that, a function f(x,y) has stationary points at that points where, the partial derivatives…

Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…

Q: 1. In three-space, find the intersection point of two lines ₁ = (−1,1,3) + t(1,2,-2) and r₂ = (5,3,…

A: The point of intersection of two lines is a common point on both lines, it has same x,y and z…

Q: ₁²√3x²2dx, u = 3x² - 2 du

A: Use the u-subsituation

Q: A line has y-intercept 11 and z-intercept –13. Find a vector equation of the line. O A) [x, y, z] =…

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: Find the average value of f(x) = sint over the interval [0, π]. O 0 01/ O O2

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Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: [[[* (x - y) dV, 2. Perform the triple integration: z = 12², and the planes y = 0 and y = 2. where E…

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Q: -1 Find f(x) for f(x) = 5 +6x. Enter the exact answer. Enclose numerators and denominators in…

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Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

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Q: (a) Use a calculator to find e0.7(rounded to five decimal places). eº.7% (b) Estimate eº.7 by using…

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Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

A: