dx Evaluate: s (x+1) log(x+1) A --In 10 log² (x+1)+C 2 B In10 In[log(x+1)] + C с = -log² (x + 1) + C 2 D -In[log(x+1)]+C In 10

Q: 10–f()=e" .sinh |2t. e-³¹ sin 2t -31 12- f(t) = t 14-f(t)=t² cos Zt. 16-f(t)=t² sin wt. = {0…

A:

Q: Answer and give the complete solution. The lower edge of a mural, 12 ft high, is 6 ft above an…

A:

Q: When applying integration by parts to the integral I = [In(h (x))da, with h a differentiable…

A:

Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

A:

Q: The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x +…

A: To find the corresponding particular solution of the given differential equation.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -9x² - 6xy -…

A:

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 [*1/2 cos²0de A 0 Ⓡ IS!" B 18…

A:

Q: L²x√x-2dx

A:

Q: Answer and give the complete solution. A 6-ft tall man is walking away from a 15-ft post at a rate…

A:

Q: 1-x √x dx

A: We have to solve the integral

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find the profit function and average.

Q: Sketch out the graph of ? = ?^2 + sqrt of ? + 1, and find its extrema, concavity, and points of…

A:

Q: Let g(x)=6x-4. Find g (Type an integer or a fraction.)

A:

Q: хра (q

A:

Q: Car X is travelling west at 20 kph and Car Y is travelling south at 30 kph. Both are headed for a…

A:

Q: tretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: To find the work done.

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

A:

Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: 3x² dx

A:

Q: Question 25 : A street light is at the top of a 19 ft tall pole. A woman 5.5 ft tall walks away from…

A:

Q: a+bx² √3ax+bx³ dx

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

Q: 1 √3 5) 2 2 / 9) (-1,0) 7) 3√3 3 2 2/3 " 2 ।

A: Topic = Geometry

Q: 21) Write a function that has an infinite discontinuity at x = 100. 22) Write a function that is…

A:

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

A: Let's solve given diffrential equation by using separation of variables.

Q: y= 3 Arcsec 3x

A:

Q: ร n=1 6 : 2n-1 3h

A:

Q: 10. Prove the identity: 2 + cot² (x) _ 1 = sin² x - csc² (x)

A:

Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

Q: Evaluating A 18 √*1/200 (A) **/2 B √9-x² dx using trigonometric substitution will lead to: cos²0d0 0…

A:

Q: x4 dx 2 2 (x² +9) ² 3 = 3 WIX 2 Arctan là + 51]+c 4 (x249)

A:

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

A:

Q: Find the volume of the indicated solid i) under 2x − 3y + z = 6 and above the rectangle R = {(x,…

A:

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: 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: What is the range of the function y = 5 sin(0+ 60°) - 4? O -60° ≤ y ≤ 60° O-9≤ y ≤ 1 O-4≤ y ≤9 O-1 ≤…

A:

Q: f(x) = -(x − 1)² +4 Use the equation of the function to find each characteristic of the function.…

A: Given:        fx=-x-12+4 y-intercept:      To get y-intercept put x=0       y=-0-12+4…

Q: Find the area of the region bounded by x²y = 1, y = x and y = 4.

A: To find the area of the region bounded by x2y=1, y=x and x=4.

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl(-12,-2)=i+j+k (Type integers or simplified…

A: Given

Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10. Oy=z O y =…

A: Given query is to find the Indicated line.

Q: x²+4x x-4 x²+3x-12 Evaluate the limit: lim

A:

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A: Given ,  A company selling widgets has found that the number of items sold , x , depends upon the…

Q: The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Given

Q: The sum of two numbers is k. Find the minimum value of the sum of their squares.

A:

Q: y = x¹, y = 2 = |x|

A:

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

A: This question can be solved using the concept of Laplace transform.

Q: Find the general solution of the given system. dx - 2x + 3y dt dy dt - 6x + 5y Ex(t), y(t)) 0

A:

Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

A:

Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

A:

Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? X 1.0 1.5 2.0 2.5…

A: Use the formula of derivatives and put all the values and calculate.