Do not skip any steps Find the numerical value of both expressions. Give the exact value and do not use a calculator. 1. tanh(ln 3) 2. Sinh(ln(1/8))

Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

A:

Q: Determine the definite integral 3 sin* 0 cos³ 0 d0

A: Let I is the value of given Integral

Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

A:

Q: Solve the equation using linear equation or bernoulli equation 2xy dx+ (y^2-x^2)dy=0

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the depth...

A:

Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 Xa lim p(x) = ∞ lim q(x) = ∞, evaluate the limits ...

A: We have to find the given limits.

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

A:

Q: x3+1 1. lim X→-1 x+1

A: I am attaching image so that you understand each and every step.

Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

A: Let us assume ABCD be the cross-section of the beam that needs to be cut from the circular log of di...

Q: of

A:

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

A: Given:     y = cosh ( ln ex^3 )

Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: Evaluate the limits algebraically (using limit laws): Vt2 + 9 – 3 lim- t-0 х2 — 1 lim(2x² – 3x + 4),...

A:

Q: State whether the equation (증)2- (주))- (3)"-1 defines (enter number of statement): 1. A hyperboloid ...

A: We will state the given equation in the following step.

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: We have to expand the expression as a sum , difference, and/or constant multiple of logarithms. The ...

Q: Use the equation below to find the tangent line to the graph of the function f(x) = 6 − 2x^2 at the ...

A:

Q: Evaluate lim Vx-2 x→4 _Vx3_8

A:

Q: Write the equation of the circle in general form that will satısfy 3e giDen conditions. -0. The cent...

A: Topic: - geometry

Q: Consider the following geometry problems in 3-space Enter T or F depending on whether the statement ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Find the radius of the sphere x2 + y? + z? – 2x – 8 = 0. %3D 4 O 2 O 3 9,

A:

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER...

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of cyc...

A: Topic:- geometry

Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx

A:

Q: dy y(ln y - In x+1) | da

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→0+ ln xx    

Q: 2. Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 12 in...

A:

Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx + (...

Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

A:

Q: MY NOTES ASK YOUR TEACHER A medieval city has the shape of a square and is protected by walls with l...

A:

Q: - 2 merefore, we have 9w? - 5w + 7 y = = 9w3/2 - 5w!/2 + 7w¬1/2. Vw w, since the function is a sum o...

A: Topic:-  derivatives

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: sechudu - 2tan".c -tan (sinhu) - C

A: Use the exponential form of sechu and easily prove the integral.I have used many inverse trigonometr...

Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0

A:

Q: Evaluate the integral / 87 dr. Answer:

A: see below the answer and  calculation

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8  

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: Q2) Solve given differential equation using undetermined coefficient superposition approach y" - 2y"...

A:

Q: y^2/x(x+y)=-y' evaluate the DE

A:

Q: State whether the equation z = (;)' + (;)* 2 2 7

A:

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: 1. Find the area of the region bounded by y = cos x and y=cos'x for 0sxsn/2. Note: Make sure you sho...

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

Q: Let h(x) = f(x)*g(x), and k(x) = f(x)/g(x). g(x) has points (-2,-1), (-1,-2), (1,0), and (3,2). f(x)...

A: see below the answer