Solve the integral: A In/1+ B -In|1+ x 5. 1 3X + C + C 5 x X + X x dx

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: Consider the following system. dx = -9x + 4y dt dy 5 -- +2y dt Find the eigenvalues of the…

A:

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

A:

Q: Question Find the volume of the solid whose base is a circle with radius 25 that has cross-sections…

A: Solution:

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

A:

Q: (2x³ + 5x-4) dx

A: Solved below.

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

A:

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0 A) infinitely many B) may…

A: We need to choose correct option.

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

A: Let's find volume of solid.

Q: 15+0. The improper integral e* dx is

A:

Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

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: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

A:

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

A:

Q: 1-x √x dx

A: We have to solve the integral

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

A: To find the volume. Option B is correct.

Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

A:

Q: 3x² dx

A:

Q: Find the slope of the line if it is defined Through (-6,-7) and (-1,12) Select the correct choice…

A: Given query is to find the slope of the line.

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

A:

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

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

A:

Q: (6x5+2x) dx

A:

Q: |x-4|dx

A:

Q: X-2 dx Evaluate the integral: Sein(x²+3x-7) A x²+5x+In|3x-6|+C B ++ In|3x-6|+C 2 5 © +²2+5x+In/x-21…

A:

Q: Find the upper sum for f(x) = 2- 10 on the interval [-4,-1] using 3 rectangles. 10 Submit your…

A: Formula: Area = ∑Δxf(x)

Q: Question 27 Determine the area bounded by f(x)=x²-x and x-axis. A —-unit² А B unit² Ⓒunit² D unit²

A: A detailed solution is given below.

Q: determine all inflection points of x^4 + x^2

A: Let,  f(x)=x4+x2 Now, f'(x)=4x3+2xf''(x)=12x2+2

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

A:

Q: Fin the AREA enclosed by the given curve: r=acos(3θ)

A:

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

A: answer is in next step.

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

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: Given the integral sec6 (x − 1) tan4 (x - 1)dx, which of the following equations will be useful for…

A: The given integral,       ∫sec6x-1tan4x-1dx

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: */3 Jπ/4 cscxcotxdx

A:

Q: Question 2 Solve the integral: A √√x 3 B 33√/ x² +C 3√x² +C 6 6√√x +C D √√ 3√x dx

A:

Q: y= (sec ³x + tan ²x)

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: Question 23 en [ "_f(x)dx=0 and ["f(x)dx = 1, evaluate Given A 0 B (u) D 11 76 55 =¹3f(x) dx -…

A: We have to find out the integral

Q: Question 5 3 Evaluating √9-x² dx using trigonometric substitution will lead to: A 35*1/2 cos²0d0…

A:

Q: b. Solve the following initial value problem for y as a function of x for differential equation x-2…

A: The objective is to solve the differential equation.

Q: 2 Let f(x)=√√3x-2 on the interval y-axis and find the volume of the resulting solid. 43x A -unit3…

A: Let's find volume of solid given curve.

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

A:

Q: 1.30 Find the value of the integral ₁00 √x dx by using simpson method (n = 6)? 1.00

A:

Q: 1 1 11 f_²_f(x) dx = f(x) dx = 0 and f(x)dx [² f(x) dx = 1 1 ₁ 6' 1 0 [²3F(x) dx - √ 2P(x)dx -1 11 6…

A:

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

A: Topic = Geometry

Q: (b)show that: I(cosh at cos at) = s*+4a"

A: