3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

A:

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L-1100 feet apart. As the…

A: The given image of the problem is: L=1100  feetA=50°B=35°

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: The volume of the solid obtained by revolving the region bounded on the right by the graph of g(y)…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We know that the volume formula int_a^b pi (f(x))^2 dx

Q: (b) Determine the following integrals: 3 (i) S. 2 x x² - 1 dr

A: As per our guidelines we are supposed to answer only one question at a time. So only solution of…

Q: Consider the following differential equation to be solved by the method of undetermined coefficients…

A: According to question,Given differential equation,y''-2y'+10y=ex cos3x

Q: Differentiate the following function. Do not simplify f(x)= √sin (cosx)

A: fx=sin2cosx

Q: 3. Find the local extrema of the given function z(x,y)= x³ - 8y³ -12xy + 18

A:

Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

A:

Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

A:

Q: Suppose you deposit $10,000 into a savings account that earns 3.5% interest compounded quarterly.…

A:

Q: Without using symmetry, determine a definite integral that represents the area of the region…

A:

Q: A manufacturer has been selling 1150 television sets a week at $420 each. A market survey indicates…

A: Given :- At $420, A manufacturer sold number of televisions are 1150. And at $21 rebate offered to a…

Q: Solving the equation C= Bat/D-K for t, using logarithms with base a, gives you t = 108a()+K A. Dloga…

A:

Q: Consider the table below for lim (f (h)). Step 2 of 2: Find lim (f (h)). h-673" h 672.5 672.9 672.99…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A:

Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: Each of the following problems addresses a course SLO for Math 21. Each individual student completes…

A:

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

A:

Q: 2x cos(x²) esin(x2-

A:

Q: Find the arc length of the curve x = 5 cos(5t), y = 5 sin(5t) with 0 ≤ t ≤ π.

A:

Q: Assignment: Consider the region bounde by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. A.…

A: Area under the curve f( x ) and g( x ) is given as A = ∫ab[ f( x ) - g( x ) ]dx Given functions y =…

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

A: We need to solve the given initial value problem and the interval in which it is valid.

Q: Find the area of the Polar Region located in the interior of the graph of r = 8 - sint A = 2√²/²2…

A: The polar equation r=8-sint Graph

Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(1) = 1 ƒ'(1) = 2 ƒ'(3) = -5 (a) Chain Rule: h(x) = f(g(x)) ⇒ (b) Product Rule: h(x) = f(x) · g(x)…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

A: Given graph

Q: Given the function f(x) = 18x + 3, determine the intervals where increasing and decreasing, and the…

A: The function  fx=-2x3-12x2-18x+3⇒f'x=-6x2-24x-18=-6x2+4x+3=-6x+3x+1⇒f''x=-12x-24=-12x+2

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We have to find the minimum cost and additional cost or saving.

Q: fa 2D Free-body diagram has four unknown support reactions, the problem is: Statically Determinate O…

A:

Q: =x²-2x-3 and the x-axis from x=1 to x=5?

A:

Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: The equation of the line that goes through (3, 2) and (-7, 10) can be written in the form y = mx +…

A:

Q: A dynamite blast blows a heavy rock straight up from the ground." Height = 0 when time=0" The…

A: Vt=160-32t

Q: consider the region bounded by the parabolas: y=x² + 4x + 3 and Find y = - x² + 2x + 3 the area of…

A: The region bounded by the parabolasy=x2+4x+3 and y=-x2+2x+3

Q: DEFFERENTIATE EACH OF THE FOLLOWING WITH RESPECT TO X AND FIND del or y'. do Ox-cosx² + y² + 3x5 =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1)…

A:

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

A:

Q: 5. (6,0, 5) + (5,0,6)=

A: 5. Given that, (6 , 0 , 5) + (5, 0 , 6) To determine the sum.

Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

A:

Q: (2) Given f(x)= numbers √x+2c_if x>4 [ex² if x≤4 find the value of c so that f(x) is continuous for…

A:

Q: Express the given product as a sum containing only sines and cosines. 170 2 sin COS 0 A THE CHOICES…

A:

Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

A:

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

A:

Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

A: