Question 5 -S_(x + 1) dx A B (x + 2) (x - 1)² = √ [1+2+ = ²1+ x-1 If B -ia 9 9 W|N 1 9 3 1 9 3 دا | نا . 3 2 دا | نا 3 C + (x-1)2]dx. dx, the values of A & C respectively are:

Q: A lighthouse is on an island 350 meters east of the shore of Lake Nathan. The lighthouse beam makes…

A:

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: Evaluate the integral: A B C D 16 1 "Im =|m 1 7/6 دان داww 3 sin(3x)cos(3x) dx

A: We have to find out integral

Q: alculate the amplitude and period of the function: f(x) = 3 sin(a) - 1 O Amplitude: 1, period: 2.…

A: Given query is to find the amplitude and the period of the function.

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 X

A:

Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

A:

Q: Evaluate the integral: sin(3x)cos(3 A - B C D H|ო 3 16 +16 dx

A:

Q: (b)show that: I(cosh at cos at) s*+40*

A: Solution is here

Q: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

A: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: Given A B D [ f(x) dx = 0 and -1 7 55 11 5 1 √ ² f(x) dx = 11 evaluate 0 √²3f(x) dx - dx-₁2f(x) dx.…

A: Solved below.

Q: When calculating the integral shown, using trigonometric substitution method with 6x sen(B) = in the…

A:

Q: Which of the following can be determined given 3 3 [ f(x)dx=5₁ g(x)dx=7, and √ √h(x) dx = -5 3 A √…

A: See the details solution in below

Q: Solve sin² C cos²x = 1 on the interval 0 < x < 2T. -

A:

Q: A company's revenue from selling å units of an item is given as R. = 1500x – x². If sales are…

A:

Q: Question Evaluate the indefinite integral given below. Provide your answer below: f(sin³(x)-3…

A:

Q: If g(x) = - [e' - In(2t+1)]dt, find g''(x) . dx A e* -In(2x+1) 4 B (2x + 1)² 4 C (2x + 1)² 2 D (2x +…

A: To solve the following problem

Q: Evaluate the double integral: 4 LA LE 2ydydx

A:

Q: Given F(x) below, find F'(x). -1.0 - F(x)= -dt 1+8

A: answer is in next step.

Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x = 3. A (e³-1)² e3 sq. units B (e²+ 1)² e² (e²-1)²…

A: To find the area bounded by curves

Q: 5 Let f(x) = 5x + 3x²³² + 1 and g(x) = 3x²+2x+1 in 27 [X]. Determine the quotient and remainder upon…

A:

Q: -JIL e √x² + y² dv, where E is the region that lies inside the cylinder x² + y² = 4 and between the…

A:

Q: 2x* dx

A: Here is the solution

Q: hich of the following represents the volume of the solid generated by revolving the region bounded…

A: Let's find volume of two curves rotating about x axis.

Q: 11 Given ~ [²₁_f(x) dx = 0 and [ ² f(x) dx = 1 1 1 4 11 A 6 B C 0 55 0 evaluate • [²³f(x) dx - ²₁²…

A:

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y)=x² + xy + y² - 6x +7…

A:

Q: se sec³ xtanxdx

A: we have to solve integration

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: Topic:- application of integration

Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x = 3. A (e²-1)² e2 sq. units (e²+ 1)² e2 (e³-1)²…

A:

Q: o find 224 ах ду and 224 ду ах' we must first find af af and ?x ду

A:

Q: -1/2 Find the gradient of f(x,y,z) = (x² + y² +2²) −1/² + In (xyz) at the point (1,2,2). Vfl…

A:

Q: Use V=SSSDdV and the substitutions u = x/a, v = y/b, w = z/c to show that the volume of the…

A:

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A:

Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

Q: Solve the integral: A 3√√x² B + C 6 C 6√√x + C с D 3³√√x² +C ကြ Sv √√√x 3√x X dx

A:

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

A:

Q: y = csc 1+2x) cot(1-2x)

A:

Q: d) S tanrd. cos³x

A:

Q: Give the domain and range. Then, use the graph to find (a) f(-2), (b) f(0), (c) f (9) 1 (2) Ay Q 40…

A:

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ (A) 1 (B) none may vary…

A:

Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

A:

Q: The part of the plane 2x 5y + z = 10 that lies above the triangle with vertices (0, 0), (0, 6), and…

A: Double integration need to be done.

Q: dy Assuming - 9x3 + 7y2 – 2xy = 0 defines y as a differentiable function of x, use the theorem dx =…

A:

Q: 1) x² + y² + 18x - 26y +246 = 0 3) x² + y² + 16x +10y + 80 = 0 5) x² + y² - 22x+26y +254 = 0 7) x² +…

A:

Q: For the given cost function C(z) = 250√ + find 8000 a) The Justion loval 1000 TUNING b) T. duction…

A: For the given cost function Cx=250x+x28000, to find d The production level that will minimize the…

Q: |x-4|dx

A:

Q: Find the area bounded by : f (x)=e*, g(x) = e¯* and x=3. A (e² + 1)² e² sq. units (B) (e³-1)² e3 C…

A: To find the area bounded by curves

Q: ral: Seln(2x²+3x-4)³ (4x+3)dx

A: