ex-e-x b. Find the inverse function of f (x)

Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

A:

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A:

Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

Q: Evaluate the following definite integrals. 4. , kr+2/dx

A:

Q: A spring with a natural length of 10 cm, is stretched by ½ cm by a 12 N force. Find the work done in…

A: Given query is to find the work done .

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

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: 10 8 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx =5. (A) True B) False

A:

Q: Solve

A:

Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 7 Choose the correct answer below. ki…

A:

Q: Use the formula k(t) |r(t) × r"(t)|| x r" (t)|| to find «(t). ||r(t)||° r(t) = ti+ t5j «(t)

A: To find k(t).

Q: You are given the following information about a termite colony population. The current population is…

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

A:

Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

Q: If x=tan , then dr = coso de by trigonometric substitution. (1+x*)½" A True B False

A:

Q: Given a function f(x, y) = e"y². (a) Find the gradient of f. (b) Evaluate the gradient at the point…

A:

Q: Evaluate the following definite integrals. år 5.

A:

Q: For the given function find dy/dx. = x +2

A:

Q: Differentiate the following function y = e log(4") You may use Insert -> Equation to help you input…

A:

Q: Solve the system of differential equations x' 4x – 15y ly' 2а — 7у - x(0) = 3, y(0) = 1 x(t) = y(t)…

A: We solve the given problem using method of elimination by use of operator D  .

Q: Find div F and curl F if F(x,y, z) = x2°i+ 4y°x²j+ 2z²yk. div F=|2° + 12 y? x² + 4 z y curl F= 2 z2…

A:

Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

A:

Q: Find V· (V × F) if F(x, y, z) = 4 sin ci + 7 cos(9x – 10y)j + 10zk. V · (V × F) =

A: Given F(x,y,z)=4sinx i+7cos(9x-10y) j+10z kTo find∇·(∇×F) first we need to find ∇×Fwe know that ∇×F…

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use inear…

A: Given problems:- 1).    The circumference of a sphere was measured to be 76 cm with a possible error…

Q: Use power series operations to find the Taylor series at x= 0 for the following function. 17x e* The…

A: we want to find taylor series of the function 17 x ex  about  x=0

Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

A:

Q: Calculate s f(x, y, z) dS for the given surface and function. D(r, 0) = (r cos(0), r sin(0), 0), 0<r…

A:

Q: Evaluate the following definite integrals. 3. If f(x) = V19+f dt ,find f'(3).

A: We can solve as follows

Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: Determine wnetner the function Isa linear transrormation. T: R2 - R³, T(x, y) = (x², 3xy, 2y²)…

A:

Q: Kindly

A:

Q: Find div F and curl F if F(x, y, z) = x²i – 10j + yzk. div F= curl F=

A: As w e know that; The expression for the divergence of vector point function F→=F1i+F2j+F3k is: div…

Q: Find the area bounded by the curve y = 8 – x and both coordinate axes in the first quadrant. Area of…

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. *- 7t, y= st,…

A: Surface area genarated by revolving the curve about x-axis is parametric notion is…

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A: The solution is given below.

Q: Use substitution to find the indefinite integral. Зх + 7 (6x + 28x) 5 3x +7 (6x² + 28x) =xp.

A:

Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

A: Solution:

Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

A:

Q: Use power series operations to find the Taylor series at x = 0 for the following function. x -2+2…

A:

Q: S Sec ta

A:

Q: Calculus Use newtons method with the specified initial approximation x1 to find x3 the third…

A: Given

Q: Determine the lowest positive root of f (x) = 8 sin(x)e–x − 1:        a.  Graphically.        b.…

A: The given function,     f(x)=8sin(x)e-x-1

Q: Solve the system of differential equations - 12x + 8y y' = – 10x + 6y a (0) %3D — 10, у(0) — — 13…

A:

Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is…

A:

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

A:

Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

A:

Q: x* +x? 5. lim, +* e* +1 In x 6. lim, csc(6x) csc(2x) 7. lim 5x+ 2lnx 8. lim, X+3lnx 2Tan 'x-x 9.…

A:

Q: (-x+82.762) 1(x) = 0.5e - 25.7 12 М m(x) — 0.15(х - 90)2 — 25.7

A: To find thee first and second derivative of the functions given.

Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

A: