if / 2³3 rsin rda -x³ cos x + 3x² sin x + 6x cos x Oxsin x O cos x sin x X COS X = 6 ƒ ƒ(x)dx, then f(x) =

Q: Given the curve shown below, determine if the slope of the curve at x = negative, or zero. 4 3 2 O…

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Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

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Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: 1. sin x sin 2x + cos x cos 2x = COS X

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: To give the solution with proper explanation for the given problem. To find the indefinite integral…

Q: The graph of f(x) is shown (see figure). -7 (a) Find the following limits. L = lim f(x) = 2 Klim…

A: Concept: Limit of the function: Assume the function f(x). x should have values that are close to the…

Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(3) = 9, ƒ(9) = 2, ƒ'(9) = 15, ƒ'(3) = 13…

A: Given Fx=ffx Gx=Fx2 f3=9, f9=2, f'9=15 and f'3=13

Q: the interval that f(c) = k. there exists a value c, where <C Must there exist a value of c in the…

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: Test Σ n 1 2" n! for convergence

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Q: A1. SOLVE STEP BY STEP IN DIGITAL FORMAT Using the following function and the given intervals…

A: Given - f(x) = 4x^2 - 6                [ 3 , 6 ] ∆y/∆t =[ f(X2) - f(X1) ] / ( x2 - X1)

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your…

A: Topic:- application of derivatives

Q: 8. Determine the dot product of u = [5,-3,1] and v=| 1v=[2,-2,3].

A: Please see the below answer.

Q: 1. A 6 kg sign is suspended by two strings making angles with the ceiling as shown in the diagram.…

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Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: 23 -x³ Submit Question Find all local extreme values of f(x) The FIRST local extreme value, moving…

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Q: di. Use v = L to find the voltage across a 30mH inductor at t = 5ms if dt (round final answer to 2…

A: By using v=Ldidt to find the voltage across a 30 mH inductor at t=5 ms if i=40 sin20πt-π6.

Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

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Q: 0 A = 2 -3 -1 B = -1 2 -2 −1 3 0 ³.0 - [ C 1 3 4 Use the above matrices to compute the following…

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Q: A force of 750 lbs stretches a spring 3 inches from its natural length of 15 inches. The work done…

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Q: 1. The graph of y=f(x) is given below. -4 2 2 -2 a) Find lim f(x) or state why it does not exist. 7…

A: Given

Q: Determine whether the function is differentiable, continuous, both, or neither at the value where…

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Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: 13. Find the intersection of [x, y, z]-[-8,-3,-5]+[1,2,-1] and [x, y, z]-[1.9.4]+s[2,1.7].

A: #13

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: फ 1/2 Determine the equation of the axis of the curve of the following trig function. ● a) y = -1 ©…

A: Please see the below picture for detailed solution.

Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Determine the solution of the following differential equation: d²y dx² dy -8-+16y=0 dx where y(0) =…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + dy = 3 x 1 1/2 x I 3…

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Q: 2) The region in the first quadrant bounded by y = x y = 2. Calculate the volume using the shell's…

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Q: Let ƒ(x) = x³ + 3x² − 9x + 22. (a) Use the definition of a derivative or the derivative rules to…

A: The given function fx=x3+3x2-9x+22 use the derivative formulas, ddxxn=nxn-1ddxax=addxa=0 where, a be…

Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: A company that produces cell phones has a cost function of C-52²-1852 +17363, where is the cost in…

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Q: Answer all of the questions below about the function f(x) graphed below when x = 5. 8 8 f -10…

A: Given Graph:-

Q: Determine the limits of the following Limit/ 1-c05 (22²) Ayo sinx

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Q: Consider the function f(x) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: Use interval notation to determine where f(x)>0. 2. Use interval notation to determine where f(x)>6.…

A: The objective is to use interval notation to determine where f(x)&gt;0. 2 and use interval notation…

Q: Find the derivative of x 1 f(x) = = 1₁² 1₁ ²² 16 dt S 1+t6 4 f'(x) =

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Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Please see the below picture for detailed solution.

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We need to find maxima and minima.

Q: interval

A: From the graph, we need to find the values of x for which f(x)  is greater than 5.

Q: 1. Determine the equivalent ODE by eliminating arbitrary constants y = ae-2x + bxe-2x Oy" +4y' + y =…

A: Given data:- y=ae-2x+bxe-2x

Q: 1 a 3 2 1 a 1 To find the blue shaded area above, we would calculate: b Where: f(x)dx = area 1 2 3 4…

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