Calculus question and answers for August 05, 2023
- Q Given?h(x) = f(g(x)) At x = 4, the equation of the tangent line of f is -5x + y = - 25. At x = 4, the equation of the...
- Q Evaluate the indefinite integral.(2x + 1122-dxx +1
- Q Evaluate the indefinite integral.(arcsin (a))8?1-x-da
- Q Evaluate the indefinite integral.fez sin(e6) da6e
- Q Write the inequality in interval notation and graph the interval.4> -x>-2
- Q Find the vertex form of the function. Then find each of the following.(A) Intercepts (B) Vertex (C) Maximum or minimum (D) Ranges(x) = - 3x - 24x - 46s(x) =...
- Q Evaluate the integralby making the appropriate substitution: u =15fa (a ? 2)5 da =115fa (25 2)5 dx,
- Q Find k such that the function is a probability density function over the given interval. Then write the probability density function.f(x)=k, [6,9]k= (Type an exact answer.)The probability density function is...
- Q mLet x be a continuous random variable over [a,b] with probability density function f. Then the median of the x-values is that number m such that?? 1/72Sf(x) dx =athe median.f(x)...
- Q 3 sec (t)- 5t2.of f(t) with F(0) = 0. ThenConsider the function f(t)Let F(t) be the antiderivativeF(t) =
- Q Let f(x) =15x + 1Enter antiderivative of f(x)Question Help: Video Message instructor+ C
- Q A parcel delivery service has contracted you to design a closed box with a square base that has a volume of 9,500 cubic inches. (a) Express the surface area of...
- Q Compute the partial sums S?, S?, and S?.2 + 2/2 + 2/3 + 2/4 + ...........S? = ______S? = ______S?= ______
- Q Suppose sin(2x) = 3/5.Then sin(x) = _________(If there is more than one possible value, enter the values separated by commas).
- Q Use integration to find f(?), if df/dx= sin(0.6x), and f(0) = 6.Find the total change of f(x) between x = 0 and x = 2, when one df/dx = 4x...
- Q Find the displacement of an object on the interval 0 <= t <= 5 if its position s(t) = In(t +1).
- Q If acceleration is a(t)=In(t), and v(1) = 2, write an integral function that could be used to find the velocity at any point in time. Do not evaluate the integral.
- Q If acceleration is a(t) = -3t sin t , and v(1) =10 , write an integral function that could be used to find the velocity at any point in time...
- Q The velocity of a particle on the time interval [0, 3) is v(t) = cos(2t), where v(t) is in cm/s. Find the average velocity for the interval.If acceleration is a(t)...
- Q Let f(x) = sin(?x) +2.The graph of f is given below.Determine the following function value. Enter DNE if the function is undefined at x= 0.f(0) =______
- Q Let f(x) = x+ x + 2 and g(x) = x + 2 be polynomials in Z?[x]. Let I be the ideal generated by f(x) and g(x). Prove that 1?...
- Q Simiplify.sin(?) + cot(?)cos(?)(a)= sin(?) +______Simplify using cot(?)=cos(?)/sin(?)(b)=(_____________)/sin(?) Adding using LCD as sin(?)(c)=___________ Simplify further using cos(t) + sin(t) = 1(d)=__________ Simplify further so the answer...
- Q For what value of ? is csc ? undefined?a. 90b. 180c. 270d. 315
- Q Find ?y+3/y-7y+12dy for all values of y in the domain of the function, using partial fractions.
- Q Find the exact value, if possible, without a calculator. If it is not possible, use a calculator round to 3 decimal places.#37 tan(sin^(-1)(x - 1)) =a) Let ? = sin^(-1)(x...
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