lim f(x) where f(x) = x→1+ X, x ≤1 1-x, x>1'

Q: Find the angle 8 between the vectors in radians and in degrees. U = COS = cos(T)i + sin(7)j, v =…

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Q: Question 4 Find the expression for the exact area of the surface obtained by rotating the curve…

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Q: What is the rule for the linear function described below? The linear function represented by a line…

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Q: Use symmetry to evaluate the following 12. 1200 2x³ 2x5 dx

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Q: Graph the polynomial P(x) = x³ + x²-5x + 3 using calculus by showing the given st (e) Sketch the…

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Q: Find a unit vector in the direction of w=-51+12j. Express your answer in terms of i and j, using…

A: To find a unit vector in the direction of

Q: Obtain general solution. 1) y''-y=ex-4

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Q: needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) any operation is undefined…

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Q: For which positive integers k is the following series convergent? (Enter your answer as an…

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Q: 17-44. Indefinite integrals Use a change of variables or Table 5.6 to evaluate the following…

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Q: A particle moves along the x-axis in such a way that its acceleration at time t for t≥ 0 is given by…

A: Accelearation of the particle is given by

Q: 6 Evaluate te (t² + 3) (t² + 7) dt using the Fundamental Theorem of Calculus, Part 2. Enter only…

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Q: Compute the line integral [(x+y)dx-xdy, where C is the arc of the parabola y = x² +1 that goes from…

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Q: Solve for x: 3e³-5 = 4 Just enter the number and give a decimal (rounded) answer to 4 places.

A: To solve for .

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (3-4x) (3 - 4x)¹0 dx

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Q: (d) What is >[*\ If (x)| dx? [1500 dx = i

A: Consider the graph

Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :

Q: Öz Given z = sin(y) where a=t+u and y=t-u, find Ot What is the formula for ✓ Find Oz Ət dz Ot : 8z…

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: Degree = 5 2 is a zero of multiplicity 3−2 is the only other zeroleading coefficient is 3.

Q: Find the antiderivtive: /102³-52² +7 x6 -dx = + C

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Test the series for convergence or divergence using the Alternating Series Test. 00 (−1)n + 1 Σ √n…

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Q: Set up the integral that computes the volume of the region W in R³ bounded by the surfaces z = 0, x…

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Q: Test the series for convergence or divergence using the Alternating Series Test. 1 1 1 1 1 In(3) +…

A: The given series is .The aim is to find the .Alternative series test:Suppose that  and  then the…

Q: Use the given information to find the left- and right- hand Riemann sums for the following function.…

A: given function

Q: A. B. Explain how you could use the graph of y=x² to graph -1 y=x². Sketch the graph of y=x².

A: graph of  from

Q: The graph of g is given below. 6 5 -6 -5 3 Log(x) dx -6 4 -6 + Use the graph to evaluate each…

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Q: Consider the following. u =(4,-1,0) v = (-8, 9, 0) Find u x v. Determine if u x v is orthogonal to…

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Q: i would like to know how to calculate this without a calculator or big numbers

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Q: Find the absolute maximum and absolute minimum of f(x) = 2x³6x² - 48x + 95 on the interval [1,6].

A: f(x)=2x3−6x2−48x+95 on the interval [1,6]Using the power Ruleddxxn=nxn−1

Q: Evaluate the integral by interpreting it in terms of areas. 9 L₁ (²x - (2x - 1) dx

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Q: Find the eigenvalues and corresponding eigenvectors of the matrix. 76 45 Eigenvalue 1 = Its…

A: Consider the matrix

Q: Rewrite the given scalar equation as a first-order system in normal form. Express the system in the…

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Q: Suppose f(x,y)= (-y) (25-ay). Answer the following. Each answer should be a list of points (a, b, c)…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Using the following solve the following conversion:  16 liters = how many quarts? 1 liter = 1000ml…

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Q: 2. Find the Wronskian of the following: e) {x lnx, x² In x}

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Q: Graph the following rational function: f(x)= 3x²-12x-15 x²-11x +30

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Q: Find the area of the shaded region. ㅇ 쁨 38 3 이렇 이렇 (0, -3) y= (16,1) 3 16 x

A: we need to find the area of the function

Q: Let f,g A→ R and suppose that c is a cluster point of A. If lim f(x) = L and 0 then using the…

A: This is question of calculus.Here is limit of function is given And we have to prove statement for…

Q: The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x →…

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. uxv (a) (b) vxu (c) vxv

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: Verify that the hypotheses of Rolle's Theorem are satisfied for fx √(x)= this interval that…

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Q: Consider the following expressions (a) (b) div(gradf) (c) grad(div f) div(curl(gradƒ)

A: we need to classify the given expression.

Q: 20. Use the graph of y² = 9x + 9 to determine what type of symmetry the graph displays. 3r

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Q: Area = 7 (a) What is [*5(x) 5 f²50 f(x) dx = (b) What is f(x) [ f(x)² is fºfo f (x) dx = [s (c) What…

A: Definite integral :- A deefinite integral has been evaluated between specific limits. This can be…

Q: Consider the indefinite integral a= The integrand decomposes into the form ax + b + where b= C= d =…

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Q: Reverse the ร fit 4 O √5x sle should order dy be of integration 18 doc dy for

A: To reverse the order of the following integration.

Q: (a) Use the figure to find the [ f(x)dx. -3 value of VA f(x) dx? L²₁ f(x) dx = = -10 (b) If the area…

A: Question No. part (b):If the area of the shaded is , then to find .

Q: Find the maximum rate of change of f(s, t) - test at the point (0,-5). Answer:

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