1) Solve a) log(x+4)=1 b) log, (2x-3)=2

Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

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Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

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Q: 2dx 3 x - √x² 2 S

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Q: By using double integrals, find the surface area of plane + y² -+z=c that lies inside a a the…

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Q: Determine

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Q: Prove that sin²x x cos²x x= csc²x-cot²x 4csc²2x

A: This is a problem related to trigonometric identity. Based on the general formula and concept we…

Q: 2 cos² x√4 tan x S tan² x dx

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Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: √√3 L dx 1+x²

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Q: Q4- Solve the following differential equation: (1+x²)dy + (y - tan-¹(x)) dx |dx = 0

A: To solve the following differential equation: 1+x2dy+y-tan-1xdx=0

Q: 3. Find the volume of the solid that lies under the paraboloid 5z = x² + y², above the xy-plane, and…

A: To find the volume of the solid that is bounded by given curves.

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

A: We have to find the sum

Q: Find the given determinant by any method. 0000-91 000 20 00-70 0 040 0 0 50000

A: Given matrix, A=0000-90002000-7000400050000

Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

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Q: TE 2 1² sinº x cos² x dx 0

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Q: Using the given geometric sequence find a7 3,0.3,0.03,0.003 a7____

A: topic- geometric sequence

Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

Q: 17/45 100% + Example 3: Find the parametric and symmetric equations of the line passing through the…

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Q: webassign.net/web/Student Assign 10 5 (6,0) (11, 0) -5F (a) Find the length of each side of the…

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Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

A: Let's solve by using long division.

Q: Determine whether the differential equation (2x² − 2xy + 3) dx + (7y² − x² + 2) dy = 0 is exact. If…

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Q: Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any…

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Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: 3 Find the arclength of the curve y = (x² - 4) on [2,4].

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Q: By using Chain Rule, find au/ax, au/ay, du/az at (x, y, z)=(√√3,2,1) U= P-q q-r p= x+y+z q=x-y+z,…

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Q: f(x csc² 6x - x cos 6x)dx

A: Given, ∫(x csc2 6x-x cos 6x)dx

Q: Jiven the differential equation statement. || ;;y(1) = π. Choose the correc dx 2y+cos y A. Solution…

A: We have to find the solution

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² −…

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Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

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Q: A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will…

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Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: 2) Find the particular solution using the following indicated initial values. (D² +4D+5)y=10e³; when…

A: Given :D2+4D+5y=10e-3x

Q: 2. Raya Is making a closed rectangular jewelry box with a square base. She is using two different…

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Q: 11. Given x = 1 + t, y = 6, z = 3t + 7, the direction vector of the line is: a. (1, 0, – 3) b. (1,…

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Q: The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where…

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Q: Evaluate the iterated integral. "TU 2 √4-22 ²² z sin(x) dy dz dx

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Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: I need a solution here. Help please c. Five people ,of whom three are women and two are men, are…

A: Given

Q: Suppose that the function fis defined, for all real numbers, as follows. x-2 if x < -2 f(x) = 3x+2…

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Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

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Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.

Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: Use any method to determine whether the series converge. ∞ 1 (2) Σ 4k k=1 The series (5) Σ k=1 The…

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Q: 2.) ff exdxdy

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Q: a) tan 30° 48' 48 00 (30+ 0.81 lan cosech 2.35 tan 30° an 1 ( 30.81 0, 954 } tanh 0,378 0,358 0,358…

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Q: 10 5 Let A 4 1 -3 k 6-2 Find the values of k for which A is invertible. O Ais invertible ifk # 27.2.…

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Q: interval of convergence. b. sin² x

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Q: the arclength of the curve y = on 3

A: We will solve the problem.