sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + ex)- sinh x tex A cosh x + ex sinh x tex B In(cosh x + e*). cosh x + ex In(cosh x + e*) sinh x tex D dx, what is the integrand?

Q: √ √9-x S*/2 (B 9 ft/cos Ⓒ 18 "/2 D 95*1/2 sin Evaluating A 18 9-x² dx using trigonometric…

A:

Q: Find Vf at the given point. 3 f(x,y,z) = x³ + y² − 4z² + z lnx, (1,5,3) Vf|(1,5,3)+(+()k (Simplify…

A:

Q: y = x3 – x’cosx + 2xsinx +2cosxx

A:

Q: Question 15 : The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the…

A: To solve the following problem

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: H.W (3) 1-f(t)=te"; 2-f(t)=3+t² + cos2t. 4-f(t)=e¹.t³. 3-f(t)=e" sin 3t; 5-f(t) = (2t+3e²¹ +4sin…

A:

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x)=80x−0.5x2 and…

A:

Q: Determine whether the correspondence is a function. Domain Range 1 22 20 7 7 6 Is this…

A:

Q: 1 Solve the integral: S dx 3 x ที่ X + X h_1+x+c A C Ⓡ 6ın|5+x=³² | +C B © h1+x8 l+c + C h1+x+c D +…

A: Given that we need to solve the following  integral.

Q: Question 4 Which of the following is NOT a method for finding volume of solids of revolution? A…

A: Please see the below picture for detailed solution.

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

A:

Q: 3) Evaluate for ln(x + 1)dx x

A:

Q: - e*) sinh x + e* cosh x + ex In the indefinite Integral in(cosh x + ex). A In(cosh x + e*)- sinh x…

A:

Q: d & fle²- · *[e' – In(2t+1)]dt, find g''(x) . dx -2 If g(x) = - A B c) e*- D 4 et + (2x + 1)² e* -…

A:

Q: Evaluate the double integral: A 9 2 5 2 (В с D m|w 416 5² 5²² 2ydydx

A: A detailed solution is given below.

Q: What is the value of k such that the lines 3x + 6ky=7 and 9kx+8y=15 wil have the same positive…

A: Topic = Geometry Correct option = 4 k=-23

Q: Which of the following is NOT a method for finding volume of solids of revolution? A) washer method…

A: Conic method

Q: dx (x+1) log(x+1) ¹__In[10g(x+1)]+ C In 10 - - log² (x+1)+C 2 -In10 log² (x+1)+C 2 In 10…

A: On solving this we will get Option (D) is correct

Q: What is the slope of the line passing through the points M (m,O) and N (n.0) with m #n? O 1 Oo m-n…

A: slope=? M(m,0) and N(n,0) M(x1,y1) and N(x2,y2)

Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information

Q: Evaluate the triple integral: A 24 B 6 12 18 √₁³√₁² √²(x + y + (x+y+z)dydxdz

A:

Q: The region is bounded by y = x² - 9 and y = x + 3, find the area.

A: Solve the following

Q: πT Evaluate the integral: sin(3x)cos(3x) dx រ 1 A 3 (B) i D 1 براس 1

A:

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: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: We will have to find  qrea bounded by rhe curve  y= x1/2  X=4 and xaixs

Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: y = tan e³x + etan3x

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

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

A: Here given that: g(x)=ddx∫-1xet-ln(2t-1)dt Using the Fundamental Theorem of Calculus: g(x)=ex-ln…

Q: Use of an Auxiliary Variable Solve the equation. The sum of two positive numbers is 2. Find the…

A: see below the calculation

Q: I5 = 2 -3 x 0(x - 1)dx

A:

Q: We can apply General Power Formula of Integration on which of the following integrals? Aeschuco…

A: To find the solution for integral

Q: |x-4|dx

A:

Q: (a)Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 2 using five approximating…

A:

Q: In 1991, there were 41,144 shopping centers in a certain country. In 2001, there were 48,157. (a)…

A:

Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

A:

Q: Question 5 The improper integral A e B) 0 (C) D 1 8 +∞0 Se ex dx is

A:

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

A: If fx and gx are integrable on the closed interval a, b, and k is a constant, then to determine wich…

Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the…

A: answer is in next step

Q: If f(x) = (A) B - St √1+1² 1+e' 0 In (secx) √ 1+tan²x tanx 1+e 1+tan²x tanx D tanx 1+e sec ³x 1+…

A:

Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

A: Solved below.

Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

A:

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

A:

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: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: J (u-2) (u+3) du

A:

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

A:

Q: 1. Let f{x«y} = v/r? + y? oa a) Find Ꭷf of Để ông Ꭷf of of Ꭷf Ꭷx2 0x0y` Ꭷyòx' dy2 b) Find 2. Find an…

A: We are allow to solve one question at a time . If you need rest of answers please upload it…

Q: 2 Let f(x)=√√3x-2 on the interval 1. Revolve the region between the curve, y=1 and y-axis about the…

A: To solve this problem we use cylindrical shell.. method.

Q: Why does dA/dt = 0?

A: Since area is constant therefore dA/dt=0