Given f(x)=√2-x.where x ≤ 2, and g(x)= x2 + 1, find (gof)(x). O X-3 O√3-x³ O √1-x¹ O 3-x

Q: Vy"+12y" +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7 y""+y" - 2y=0 ✓y" - 4y'-5y=0; y (1) = 0; y' (1)=2

A: since it multiparty question we solve only first three parts

Q: exact value

A: Here we have to find the partial difference.

Q: Find the scalar and vector projection of the vector b = (-4,2, -3) onto the vector a = (5, -5, -3).…

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Q: One thousand dollars is deposited in a savings account where the interest is compounded…

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Q: nd and simplify 2² x² (f(x) g(x)). O d² O −(ƒ (x) g(x)) = ƒ” (x) g(x)+ f (x) g″ (x) Hint 2² -(f(x)…

A: Given query is to find the double derivative.

Q: 1. Find the convergence set for the given power series C. 71-1 (x+1)” n!

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Q: Consider the solid that lies above in the square (in the xy-plane) R = [0,2] x [0,2]  and below the…

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Q: Find the solution to the problem (2y - 6)-(3x² - 2x + 1) = 0, y(1) = 2. dx ind the local explicit…

A: Given that , 2y-6dydx-3x2-2x+1=0 , y1=2

Q: The following two graphs are isomorphic: True False

A: Please see the below picture for detailed solution.

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A: Given:- r→t=4cost,4sint,2sin2t

Q: 2. Use the Limit Comparison test to determine convergence or divergence. Σ n=1 1 n√n+1

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Q: Let g(x) 4x 2. Find f(x), given that the equation (gof)(x) = x + 7 is true for all values of x.…

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Q: 2. Let (an)1 be a sequence with positive terms, such that lim an+1 n→∞0 an [Hints: - Recall that lim…

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Q: (d) P(x, y) = 8y, Q(x, y) = x P dx + Q dy = aD Joopdx 1 - an ax dy = х ӘР aQ ах ду X

A: According to question,Given Function,Px,y = 8y,Qx,y = x

Q: Q 7. Solve the linear differential equation (x-2)dy+y=(x-2)² dx

A: To solve the linear differential equation, x-2dydx+y=x-22.

Q: A ball with mass 0.12 kg is thrown upward with initial velocity 10 m/s from the roof of a building…

A: The details solution of the given question is given below in step 2.

Q: Given f(x, y) = x¹ - 5x²y³ - y², find

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Q: Consider the following. w = x - x = e4t₁ y=t5 (a) Find dw/dt by using the appropriate Chain Rule. dw…

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Q: 2. Find the convergence set for the given power series C. x+2²x² +3²x³ +4²x* +... (x+2)² (x+2)³…

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Q: Evaluate the limit lim (2 sin(-3x + 1) + 4) = 1-400

A: limx→∞ 2sin-3x+1+4=2limx→∞ sin-3x+1+limx→∞ 4=2sinlimx→∞ -3x+1+4=DNE

Q: Indicate whether the given series converges or diverges, if it is converges find its sum. -k-2 6. Σ…

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Q: The slope of the tangent line to the curve y 2 x at the point 5, (5,²/3) ₁ 25 is: The equation of…

A: To find out the equation of the tangent line at the given point.

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Q: 1) A tank in the shape of an inverted right circular cone has height 12 feet and radius 5 feet. The…

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Q: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

A: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

Q: suppose f(x) = a (x-2)3 (x+1)2 The zeros of the above function are 2 with multiplicity 3 and -1…

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Q: 2п ㅠ 3'2 or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0, 4) = ( 6,…

A: given (p,θ,φ)=(6,2π3,π2)in caetesian coordinates x=psin(φ)cos(θ)y=psin(φ)sin(θ)z=pcos(φ)

Q: Suppose that R is the finite region bounded by f(x)=√x and f(x) = X 4 Find the exact value of the…

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Q: QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 3y" + 2y'+y=0 Vy"-4y"…

A: The given differential equations are; 1) y'''+12y''+36y'=0,y(0)=0,y'(0)=1,y''(0)=-7 2)y'''+y''-2y=0…

Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 5t, y = 4t dw dt Value t = 2…

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Q: pls show all steps and if possible do it handwritten so i can better understand thanks, Find the…

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Q: Identify the function. √4-x O The function is not linear, quadratic, or cubic. O Linear O Cubic O…

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Q: rough 8 is 14. Show that any separable equation ) y' = 0 roblem d. given brem sible M(x) + N(y) y' =…

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Q: Let g = g(u, v) be a C¹-class function of two variables. A function h = h(x, y) is defined as a…

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 8n² + 5n+3 5n² +…

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Q: Graph the following function using transformation techniques. p(x) = 1/2x²

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Q: The base of a triangle is increasing at a rate of 2.6 cm/s. Its height is increasing at a rate of…

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Q: Find a b if ||a| = 8, ||b||| Answer: 8, ||b|| = 3, and the angle between a and b is π/4.

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Q: What are the key features of the graphs of the trigonometric functions? Select all correct…

A: Use the graph of sine, cosine and tangent function .

Q: Find the marginal revenue function. R(x)=x(18-0.02x) R'(x) =

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A: Here we find position vector by using acceleration initial velocity and initial position

Q: Q#4 Please find the derivatives of the following functions using an appropriate method. Final Answer…

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Q: Find the volume of the solid obtained by rotating the region A in the figure about y = −3. b 0 A…

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Q: A manufacturer has been selling 1550 television sets a week at $510 each. A market survey indicates…

A: Use derivative test

Q: 5,-3,8 Givenu = ,8) Leave your answer as an exact value in simplest form. = (k, 2, 4) calculate k…

A: Given query is to find the value of k.

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 50, where q…

A: Suppose the Sunglasses Hut Company has a profit function given by P(q)=-0.01q^2+3q-50, where q is…

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limi lim(2 sin(2t) ln(2t))…

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Q: Find the derivative off with respect to x of f(x) = In x². 2 The derivative of f with respect to x…

A: Here we have to find the derivative.