1- sin (t) Simplify to an expression involving a single trig function with no fractions. sin (t) If needed, enter squared trigonometric expressions using the following notation. Example: Enter sin²(t) as (sin(t)). Submit Question

Q: S sin x cos? xda- 2.

A: topic - indefinite integral

Q: 3) The voltage of a battery for a specific circuit is given by the function V(t) = 60cos(t) + 25,…

A: Follow the procedure given below.

Q: x+x+1 Use partial fractions. 2x2+2+x3+x

A: The given integral is;  (x2+x+1)/(2x2+2+x3+x).

Q: 1/(x^2-5x+6) find the integral using rational fraction

A: SOLUTION-

Q: Use back-substitution to solve the system of linear equations. 2x - y+5z = 24 y+2z = 9 7

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the…

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Q: Consider the following series. n2 + 64 n = 1 1 Does the function f(x) = satisfy the conditions of…

A: This question can be solved using the concept of integral test.

Q: Let 7(t) = Find '(t) F (t) =

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. LLL. yz dx dz dy -60 -90

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Q: Find the exponential function y = Cekt that passes through the two given points. y (0, 7) 5 4 3 2-…

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Q: Find a unit vector that has the same direction as the vector a and the opposite direction of the…

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Q: n the 3-o'clock direction.

A: answer is in next step

Q: [43 80 -60 Let A = Find an invertible matrix X and a diagonal matrix D such that [30 60 -42] D =…

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Q: d d. [r1(t) · r2(t)] andr:(t) × r2(t)] first by differentiating dt dt the product directly and then…

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Q: Let f(x, y) = (x – 6)? Graph the boundary of the domain of f below. 7+ 5- 4 3 -7 -6 -5 -4 -3 -2 -1…

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Q: An open box is to be made from a square piece of material, 38 inches on a side, by cutting equal…

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: if x 2

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Q: 14. The set of all critical numbers of f(x) = 2 cos x + sin 2x on (0, 2n) is B. {등, 똥) 5T A. . В. c.…

A: f(x) = 2cosx +sin2x for critical point derivative of function is 0 f'(x) = -2sinx + 2cos2x -2sinx +…

Q: f(x) = In(4 x) domain vertical asymptote x-intercept (x, y) =

A: In this question, we will find the domain, vertical asymptote and x intercept of the given…

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the general indefinite integral. 8v(v? + 9)? dv Step 1 We'll begin by expanding (v + 9)? = 18…

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Q: nsider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 – 6x2 – 15x + 3 (a)…

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Q: Sing Rolle's theorêm for the following function, find all values c in the gi here f' (c) = 0. If…

A: Given query is to find the value value of c.

Q: If an object's position over time is given by the function d(t) = (t +3)e i for t > 0, on what…

A: We have to find range of t for which position is increasing &amp; concave up.

Q: Find the length of an are with parameterization r(t) = (-7 sin (t), -7 cos (t), -4). on the interval…

A: In this question, We will use the formula of the length of an arc of the parametrized curve.

Q: Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x)=…

A: Given functionf(x)=xx-4

Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

Q: Choose the graph of y= 2 arcsin x, - T S YS T 27

A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

Q: he traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 800t – 180t, where t is…

A: Given query is to find the number of cars between 6 to 8 am.

Q: Find the following Laplace and Inverse Laplace Transform of the function. 5. f(t) = e-4t (t-cos(t))

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Q: Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for…

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Q: 22 - 12x To solve -dx, partial faction is to be employed. What is the most appropriate form of the…

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Q: x = v2. t² Let C be the curve with parametric equations 3/2 where t E [0, +∞). 8 t+ 3 V2 8 4 '3 (a)…

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Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: Find the area enclosed by the curves y=2r2, y=2x ,x=- and x = 1 4 A 59/76 B 45/51 49/96 D 65/89

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Q: with the intial conditions of x(0)=5 and x'(0)=3 solve the equaltion of x''+3x=0 using the equation…

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Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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Q: N = f(t) = 5000exp(-1/12(t-40)^2) is the form for number of infections, where t = 40 is the peak a)…

A: Let's find.

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1,…

A: Distance from a point  (x0,y0,z0)  to the plane ax+by+cz+d=0 is given by    ax0+by0+cz0+da2+b2+c2…

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 10 x² dx M4 =

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Q: Find the total area of the shaded regions. ... Ay 64 y B+x y 64-xf -10 8-6 -4 | -2 2 46 8 10

A: -8≤x≤9Intersection points:8-x=64-x2x2-x-56=0(x-8)(x+7)=0x=-7, x=8Area bounded=∫-8-7[(8-x)-(64-x2)]dx…

Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

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Q: Find f. f '''(x) = cos(x), f(0) = 2, f '(0) = 6, f ''(0) = 3

A: Given, f'''(x)=cos(x) Taking integration on both side f''(x)=sin(x)+A…

Q: f(2) = | Given t2 – 49 -dt 1+ cos2(t) At what value of x does the local max of f(x) occur? | f(x) x…

A: Explained below

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 4x2 – 1 XV

A: We have to determine integral

Q: 1. A force of 1000 pounds is acting on an object at an ang of 500 pounds is acting at an angle of…

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Q: Find the values of a, b, c, and d in the matrix equation below. 3 4 +2 56 10 11 c d 11 12 a = b = C…

A: A detailed solution is given in step 2.

Q: A car rental agency rents 190 cars per day at a rate of 31 dollars per day. For each 1 dollar…

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