f’(x)=6e^x -10x ; f(0)=11 Find f(x) by solving the initial value problem

Q: The base of a solid is a circular disk with radius 2. Parallel cross sections perpendicular to the…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

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Q: Use a double integral to find the area of the region bounded by the cardioid r= 3(1-sin 0).

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Q: Determine using implicit differentiation. dy dx 4x³ +2y³ = 3y 2x³y² + 5y³ = 4x-1 2x 3x + y =y Note:…

A: 1st...4x3+2y5=3y2nd....2x3y2+5y3=4x-13rd....2x3x+y=y

Q: (2) Show that f(x) = e³x cos(2x) is of exponential order.

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Q: A spherical snowball is melting. If its volume is decreasing by 450 cubic centimeters per hour when…

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Q: Find the determinant by row reduction to echelon form. 33-3 34-4 -2 3 5 LO

A: The given determinant 33-334-4-235. We have to find the value of the determinant using a row reduced…

Q: At what points is the function y = x+8 2 x13x + 40 continuous?

A: Note - Function is discontinuous when f( x ) will be undefined or reaches to infinity Given f( x ) =…

Q: Solid Waste Accumulation A landfill at time t= 0 years contains 1200 tons of solid waste. The…

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Q: Find the indicated derivatives. (a) g(x) = mtan(x) g'(x) = (b) h(t) = sin(10t + p).

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Q: Rewrite the following integral using the indicated order of integration and then evaluate the…

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Q: The surface of an island is defined by the following function over the region on which the function…

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Q: The curves sr₁(t) = (t, t², - t5) and 72(t) = (sin( - 2t), sin(-3t), t-T) intersect at the origin.

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

Q: Q4 Use the method of Disks to calculate the volume obtained by rotating the planar region R about…

A: By using the method of Disks to calculate the volume obtained by  rotating the planer region R about…

Q: Only one of the following statements is (always) correct (A) The graph of y = f-¹(x) can be obtained…

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Q: ← For a certain product, cost C and revenue R are given as follows, where x is the number of units…

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Q: (c) h(y) = 38³⁹ h'(y) = = 3

A: The function is hy=38y9

Q: 33. ✔1001

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Q: Find Vz. 7xe³y x + 3y NOTE: Give your answer in unit vector notation; that is, in terms of i and j.…

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Q: Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square…

A: The capacity of box=127 in3Dimensions are Length =x inch ,width = inch ,height =y inch

Q: + ... + en in summation notation in terms of k. Write the sum e/17 + e/18 +e/19 (Use symbolic…

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Q: 8. = √t, y=t² - 2t; t = 4

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Q: A norman window has the shape of a rectangle surmounted by 2 Semicircle, Find the dimensions of a…

A: The amount of the light will be maximum when the area of the window is maximum. Let 2x be the width…

Q: The velocity function is v(t) = −t² + 5t − 4 for a particle moving along a line. Find the…

A: As per the Bartleby guideline only one question is allowed to solve if multiple question is asked in…

Q: A train is traveling 50 km per hour along a straight track, moving in the direction as shown in the…

A: We use Pythagoras theorem and differentiation to get a solution for this question.

Q: Find a unit vector in the direction in which f(x, y, z) = 3x³z² + 3y³z +24z -3 increases most…

A: f( x , y , z ) = 3x3z2 + 3y3z + 24z - 3∇f = ∂f∂xi + ∂f∂yj u = ∇f| ∇f |

Q: Consider the following function. f(x) = x6 ln(x) (a) Graph the function. On the coordinate plane the…

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly…

Q: (x) = X+4 X-4

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Q: x dy/dx+(1+x)y=e^-x; y(1)=0

A: Given: xdydx+(1+x)y=e-xy(1)=0   We are required to: Sove the given differential eqution.

Q: XX a. Find the tangent line to the curve y = 14cot 28 b. What is the slope of the curve with the…

A: To determine the slope with the smallest absolute value of the tangent line to the curve y=14…

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [ R(x) → 0.] - f(x) =…

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Q: In each case, select the function that dominates the other as x → ∞o? (a) O 50x² (b) 0.02x³ O In(x +…

A: limx→∞0.02x350x2=limx→∞0.02x50=∞    Therefore, 0.02x3, will dominates over 50x2

Q: 19-20 Find the number c that satisfies the conclusion of the Mean Value Theorem on the given…

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Q: Let r(t) = (t5 -1, -2e-4t, -3 sin(-2t)) Find the unit tangent vector T (t) at the point t = 0 T (0)…

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Q: 2. Find positive values a, b and c such that the plane x/a + y/b + z/c = 1 passes through the…

A: The equation of the plane is xa+yb+zc=1. The objective is to find the positive values a, b and c…

Q: B. Let f(x) be an odd, differentiable function. This means that f(x)= -f(-x) We know that f'(x)= O…

A: Let f(x) be an odd, differentiable function this means that f(−x)=-f(x)

Q: if point (20,10) is on the graph of y=f(x). How would you Find the corresponding point on the graph…

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Q: Graph f(a) log₂ (2) below. First locate the vertical asymptote, then plot two points on the graph.…

A: We need to find the vertical asymptote of the function and graph of the function. Given…

Q: 21. Let f (x) = (x - 3)-². Show that there is no value of c in (1, 4) such that f (4) - f(1) = f'(c)…

A: Please see the below pictures for detailed solution.

Q: termine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P…

A: Please see the below picture for detailed solution.

Q: Assume that the demand for a product is given by x=(12-2p) ² where 0≤p ≤ 6. Use the elasticity of…

A: For the maximum revenue , elasticity will be equals to one  Let elasticity of demand denoted by EOD…

Q: Find the equation of the tangent line at the given value of x on the curve. 3 y³ + xy² -5=x+3y²; x =…

A: y3+xy2-5=x+3y2

Q: Given the system of equations -1.1x₁ + 10x₂ = 120 -2x₁ + 17.4x₂ = 174 (a) Solve graphically and…

A: Given system of equation-1.1x1+10x2=120-2x1+17.4x2=174we have to solve to system of equation by…

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

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Q: Find the gradient of f at the indicated point. f(x, y) = sin x² + cos 3y; (V.0) NOTE: Give your…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Remember 1. 5x2 +…

A: ∫5x2+20.5x3+0.6xdx

Q: A spherical snowball is melting. If its volume is decreasing by 450m cubic centimeters per hour when…

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

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Q: Find the dimensions of a rectangle with a perimeter of 140 ft that has the largest possible area.…

A: We know formula for rectanglePerimeter of a rectangle=2l+bArea of a rectangle=length×breadthGiven:…

Q: Sketch the region of integration and evaluate the following integral, using the method of your…

A: ∫010∫0100-x2x2+y2dydx