15. Write an equation for the transformation of f(x) = |x| shown in the graph below. +

Q: 1 2-4 를 -5 금 dr

A: Since the third question is incomplete, solve first and second integral

Q: Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x +…

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Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: Find and simplify the function values. f(x, y, z)=√x+y+z

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Q: It is possible to rewrite the expression as xa A=-2/7 B=-5/7 xb x9 where q is a constant. Perform…

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Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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Q: Calculate the double integral. 7x S₂ x ² + x²0² +y dA, R= [1, 4] x [0, 1]

A: Explained below

Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

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Q: For f(x) = (x + 1)²-3 where x > -1, find: a. The inverse function, f-¹(x) b. The domain of f-¹(x) c.…

A: Given f(x)=(x+1)2-3 We know that, A function g is the inverse of function f if for y=fx,…

Q: Find all the zeros. Write the answer in exact form. 2 v(x)=x²³ −5x² + 4x+6 If there is more than one…

A: Find out the zeroes of the polynomial.

Q: At how many points do the curves r₁(t) = ((t + 1)², — t² − 2t, t+2) and r₂(t) = (1 – t², t, t) -…

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Q: 8 Find the sum of Σ n=1 A) 1 9n²+3n-2 hint: (partial fractions) 2 B) B)=1/12 (C) / D) = E) 3 4 3 F)…

A: According to question,Given Summation,∑n =1∞ 19n2 + 3n -2

Q: D O 1.909 Question 14 Find the length of the plane curve given below. r(t) = 5cos(t)i+5 sin(t)j, [0,…

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Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…

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Q: Use a calculator to find cos(-0.4092) in radians and degrees. Find the answer in radians. cos…

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Q: Question 3 Find a vector-valued function, using the given parameter, to represent the intersection…

A: We need to find r(t).

Q: Adding more people to a job will reduce the amount of time needed to complete the job. Change in…

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Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

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Q: Find the definite integral that will compute for the area of the region bounded by y = ex, y = 0, x…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp dt 7√…

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Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph…

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Q: Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No…

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Q: 1 n (Inn)3/2 Σ(-1)". n=3

A: Given: Here, an=1n(ln n)3/2≤1n(n)3/2=1n5/2. So, the given series is absolutely convergent by the…

Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 2x²y…

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Q: nd an equation of a plane passing through the following 3 points (1,-1,-1), (-4,1,4), (3,5,3)

A: topic- equation of plane through three points equation of plane passing through three points…

Q: Find both first partial derivatives. = In ( + ) əz əx əz ду || = Z (No Response) (No Response)

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Q: Use implicit differentiation for x² + y² O x/y O 5x O-x/y O -5x = 25.

A: To find the derivative.

Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA…

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Q: Find the curvature K of the curve given below. r(t) = ti+8t²j+2tk

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Q: The straight line beams between the radar dish and the drone registers a distance of 32 km. What is…

A: Given: the triangle ABC in which there is 90 degree angle at A      Use: sin(θ)=…

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

A: In this question we have to Integrate using the method of trigonometric substitution.

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: Find the radius of convergence, R, of the following series. Σn!(7x - 1) n = 1 R Find the interval,…

A: Here we have to find the radius and interval of convergence.

Q: Ꮎ Given that sin 0 = 0.3356 and 0 is in quadrant I, find sin 2 Ꮎ 2 (Round to four decimal places as…

A: using trigonometry identity and half-angle formula,

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² + y²

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Q: The acceleration of a particle is given by a(t) = (2t, 3, et). If the velocity at time t = 0 is…

A: Given: Now, the velocity will be           v(t)=<∫2t, ∫3, ∫et>      =<t2+c1, 3t+c2,…

Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0 = sin 20 =…

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

Q: use triple scalar product to find the volume of the parallelpiped u= v= w=

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: If f is differentiable and ƒ'(x)=x³− 2x² − x+2, then f is increasing on Selected Answers: [None…

A: In this question we have to find interval in which function is increasing.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Use the function to show that f(0, 0) and f(0, 0) both exist, but that f is not differentiable at…

A: Concept: Partial derivative: In differential geometry and vector calculus, the partial derivative is…

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: The rate of change of the time it takes to mow a lawn is inversely proportional to the square of the…

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Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

A: To find: The normal vector of the tangent plane to the surface at the given point. Given…