Let f:[1,2]→ R, f(x) = |x|, and 9 = {-1,0,1/2,2}. (a) Draw the graph of f. (b) Compute the lower and upper Riemann sums le(f), ug(f).

Q: Unit Vectors a) What is the z-component of a vector parallel to the xy-plane? Explain. b) Find all…

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Q: K Solve the logarithmic equation. Express all solutions in exact form. log 4 (x³ +37) = 3

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Q: Evaluate the triple integral. JIL 4z dv, where E is bounded by the cylinder y2 + z² = 9 and the…

A: The area E is bounded by the cylinder y2+z2=9 and the planes x=0, y=3x, and z=0 in the first octant.

Q: Solve the logarithmic equation. Express all solutions in exact form. In (5-x)+ In (-4-x) = In (1-5x)…

A: To solve the logarithmic equation. ln5-x+ln-4-x=ln1-5x

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

A: By using integration, the direct comparison test, or the limit comparison test, to test the…

Q: a) y' - 2xy = x b) y' + sin(x)y=sin(x)

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Q: Determine the intersection (if any) of the following planes. Show your work clearly and be sure to…

A: To determine the intersection (if any) of the following planes. π1: 3x+2y-z+6=0π2: 6x+6y-2z+6=0π3:…

Q: II. Find the Laplace transform of the ff: 1] f(t)=e³t (cos2t + t² sin 3t)

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Q: Compute y' for y=(x³+ Inx + 4e² A > y=123+ + 3+Inx+4e')11 B D y=1237+ +4e* (x3+Inx+4e')12 X ਘਰਿ y':…

A: **As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: olve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Problem #2: Evaluate the following by changing to polar coordinates. 100-: - 1² Problem #2: Í L…

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Q: = 1. *Estimate* the area under the curve of f(x) = 3x + x² from z = 0 to z and left endpoints. 6…

A: We have to estimate the area of f(x) using left endpoints which is also called Left Reimann sum.

Q: The length of time (in years) until a copier feed mechanism needs to be replaced has probability…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x),…

A: f(x)=3 sin(x)+3 cos(x) ;            0≤x≤2π

Q: This is incorrect

A: Please see the below picture for detailed solution.

Q: Explain why if a runner completes a 6.2-mi race in 36 min, then he must have been running at exactly…

A: Total distance of race is 6.2 miles. Time taken to complete the race is 34 min.   Avg. speed…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. -7 s 96 2…

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Find the derivative of y with respect to x. dy dx y = 6 In 11 5 X

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Q: Determine the order for the following differential equation: dy -= 2e-³x dx 02 1 O 3 Determine the…

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Q: QUESTION 6 Determine if the given function y = f(x) is a solution of the accompanying differential…

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Q: 4. — (5(cos √x)²) = dx

A: chain rule of differentiationdcosxdx=-sin(x)

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…

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Q: Find the second derivative of the vector-valued function r(t) = (3t+ 4 sin(t))i + (7t + 2 cos(t))j…

A: r→(t)=(3t+4sint)i+(7t+2cost)jd dt(sint)=costd dt(cost)=-sintd dt(tn)=ntn-1

Q: 1. 2. 3. 4. Match the following guess solutions for the method of undetermined coefficients with the…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Why is option II correct

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Q: 7. aluate the double integral. W x² + 1² CC = {(x, y) | 0≤x≤ 4,0 ≤ y ≤ √x} 21.

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Q: In Problems 43-54, calculate the definite integral, given that 61 x dx = 7.5 xem được ng x² dx = 21…

A: ∫14xdx=7.5  ; ∫14x2dx=21 ; ∫45x2dx=613

Q: Solve for x. log 8x + log g(x-12)=2

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Q: 35, 36, 37, and 38 Produce graphs of f that reveal all the important aspects of the curve. Use…

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Q: 27, 28, 29, and 30 Compare the values of Ay and dy if a changes from 1 to 1.05. What if a changes…

A: We have to compare the values of ∆y and dy.

Q: Evaluate the following integral. 1/4 SS S 000 3 48p sin do de dp

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Q: Find the radius of convergence, R, of the series. Σ (4x + 3) 12 1 = 1

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Q: af 6 G 9. Find the power of (4 + 3i)2. Express your answer in rectangular form? ( 11 n Z^r" (cosna't…

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Q: Find the value of k so that the line [x, y, z] = [2, -2, 0] + t[3, 5, k] is parallel to the plane 4x…

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Q: Eliminate the parameter to find a Cartesian equation for the curve. x = 1 + 10 cos(3t), y = 11 + 9…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

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Q: If F(x) = ret -4 sint dt, then F'(x) = Inx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let f (x) = x1/3(8x + 12)2/3.   Find f ' (x) and the critical numbers for f. f ' (x) =  Ax + B 3 xC…

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Q: 16. If f is even, then f' is even. 17. If f is periodic, then f' is periodic.

A: If f is even, then f' is even.

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: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: 1-6 Evaluate the iterated in 1. (8x - 2y) dy dx

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Q: Using implicit differentiation, find Provide your answer below: dy dx - 4xy³ - 6xy² =

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Q: Which of the following is equivalent to 1 1.. 2 1 + (4/2)² 1 2(4 + u²) 2 4+4² 1 4+u²

A: Given a rational experience, need to simplify and find equivalent expression.

Q: 115. f(x) = a. X x+4, lim_ f(x) 3 b. lim f(x) x-3+ *3

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Q: Determine if Rolle's Theorem can be ap- plied to f(x) = x²-3x - 18 x 9 on the interval [-3, 6], and…

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