Consider the function f(x) whose second derivative is f''(x) = 7x + 7 sin(x). If f(0) = 2 and f'(0) = 2, what is f(5)?

Q: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

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Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: For each of the following series determine if the series converges c for series convergence or…

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Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: The term a,6 of the sequence {an} given by (2 3 4 5'7'9' 11

A: Follow the procedure given below.

Q: 00 Evaluate "(1– x)e¯* dx.

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Q: Problem 7 Using the method of undetermined coefficients, find a particular solution yp of the…

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Q: Solve the problem. Given that f(x) = 4x + 4, find lim [f(x) - f(7)/(x - 7)] x-7

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Q: Find all points on the graph of ƒ(x) = 2 sin x + sin?x where the tangent line is horizontal

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Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: Use the information about values of the functions and their derivatives to calculate H'(5), where…

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Q: (b) x" – x' – 2x = 0; x(0) = 0, x'(0) = 2

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Q: Y=x(root2-x) Can someone explain why the domain is x=

A: The domain of the function is set of all possible input values for which function is defined.

Q: Find the arc length of the parametric curve. x = 3 cos(t), y = 3 sin(t), z = 4t; 0<t<+ L =

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Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

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Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: he curve. + sin(tt)j

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Q: Suppose F is an antiderivative of f(x) = VT. If F(0) 1 then F(1) 4 %3D %3D is 3 A. –1, B. -, C. 0,…

A: Let f be a function . Suppose F is a function such that  F'(x) =f(x) then F is an antiderivative of…

Q: Which of the following is true for the series 3n? Σ 4n3 +9 n =0 Converges to 0 O Divergent O None…

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Q: Solve the initial value problem. + x, x > 0; y(1) = 5 y = y = - 2x- +5 2x y = 2x2 2

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: (2x3 – xy? – 2y + 3)dx - (x²y + 2x)dy = 0

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Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 2. Find…

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Q: Consider a triangle ABC like the one below. Suppose that A= 128°, C=25°, and b= 56. (The figure is…

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Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

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Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

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Q: evaluat e the fallowing integrais by interpheting them as areas of geome thic Objects la) So (20-4x)…

A: Given problem:-

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: Determine if the sequence is increasing, decreasing, not monotonic, bounded below, bounded above…

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: y a+h Figure 1.3.2: Plot of y = f(x) for Preview Activity 1.3.1. b. Construct a right triangle whose…

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Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

A: Solve the following

Q: (e) Alternating Series Test: Σ (-1)"-2 3n + 3n

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Q: (a) Find an equation of the tangent line to the curve y 14x sin(x) at the point (x/2, 7n). y = (b)…

A: a) y=14xsin(x)Differentiatey'=14sin(x)+14xcosxSubstitute x=π2y'=14sinπ2+14π2cosπ2y'=14+0y'=14Slope…

Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

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Q: ||r'(t) × r"(t)|| ||r(t)| Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk…

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Q: y= V x

A: Here is the solution

Q: Let a > 0 and let R be the region under the graph of f(x) =  √(9 - ax) and in the first quadrant.…

A: Points of intersection:y=x =9-axx=9-axx+ax =9x=91+aPoint (91+a, 31+a)

Q: Homogeneous or Not? State the degree of the function. 4x^2-3xy+y^2

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Q: cos (4x)dx

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Q: 1 ut du. 8 13

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Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: Σιο.1-1+ 0.9" n=1 Determine whether the given sequence converges or diverges. If it converges, find…

A: To find whether the sequence ∑n=1∞0.1n-1+0.9n converges or diverges   The given series is sum of two…

Q: (1) Use the following graph of f(x) for the problems on this page and the next page. 15 10 10 15 20…

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