Find the vector equation that represents the curve of intersection of the paraboloid 2=2x²+y² and the surface = y²₁ Write the equation so that one of the functions is simply t. x(t)= y(t) = z(t) =

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: All of the functions below are invertible, except for one of them. Find the function that is not an…

A: a function is invertible only if each input has a unique output.

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is Select one: O True O False L {f(t)}…

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Q: The Laplace Transform of is Select one: O None of these. O F(s) = O F(s): O = F(s) = f(t) =…

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Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A:

Q: Consider the following information. lim f (x) IIC lim g(x) IC (a) (b) (c) 6 Use the information to…

A: To evaluate the given limits of function

Q: Find an equation of the tangent plane to the given surface at the specified point. Z= In(x - 2y),…

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Q: dentify the circle that has center (4, -2) and radius 4. Select the correct answer below: (x-4)² +…

A: Given query is to find the equation of the circle.

Q: Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³…

A: NOTE: Refresh your page if you can't see any equations. . here we have . so vector v1, v2, and v3…

Q: ind the equation of the plane that contains (1, -2, 1), (1, 0, 2) and (0, -2, 2)

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Q: Evaluate the line integral, where C is the given curve. 2 xeyz ds, C is the line segment from (0, 0,…

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Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^₁ { = Select one: True O False Give your reasons cos(t)…

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Q: Evaluate the indefinite integral. f7 sin³ (2) sin³ (x) cos(x) dx = J + C

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: The measurements of the base and altitude of a triangle are found to be 46 and 34 centimeters. The…

A: Given information altitude ( A ) = 34 cm Base ( B ) = 46 cm let Area = A

Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

A:

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

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

Q: 1 cm?

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Q: 2. Test the following series for convergence or divergence. If converge find its sum. Indicate the…

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Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: 4. Find an equation of the tangent plane to the surface z = xy+8 xy-2x at the point (1,1,–10)

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Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: f(x) = (2x³ + 8), (1, 100)

A:

Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt…

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Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

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Q: Use the given transformation to evaluate the integral. J (15x+10y) dA, where R is the parallelogram…

A: INTRODUCTION: The two types of integrals are double and triple integrals, with double integral being…

Q: 33. Water is stored in a right circular cone as shown. Water is being added to the cone at a…

A: We have to find rate of change of height of water.

Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: Suppose that lim = f'(0). Select the correct answer for the limit indicated below. x→0 X f(x) Select…

A:

Q: Let* (t) = (-5t² +4,t³-14, 21³). Find the line (L) tangent to (t) at the point (-1,0,2) L:(x, y, z)=…

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Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

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Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Find the limit of f(x) = lim f(x)= -7+- X as x approaches co and as x approaches -8. lim f(x) = X→∞0…

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Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.