1 lim ty1 + t

Q: 8x+5<15

A:

Q: If f(x) find: 7+x2 f'(x)-

A: The solution are next step is

Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

A:

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

A:

Q: Find the value of a . lim,2 sin a(x-2) 3 2-2

A:

Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

A:

Q: 4) Show that the circumference of the unit circle is equal to 2 dz (an improper integral) 1-22 Evalu...

A:

Q: if theta is the angle between the vectors V and W in R3, then the tangent of theta is equal to (V cr...

A:

Q: x +3 -dx What is the antiderivative of 5% + 6r/2 + C 5 A 6x/2 + C B © A (oxs +1) + c 5 6 (D) 7 12 + ...

A:

Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

A:

Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

A:

Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x + ...

A: We have to find the equation of ellipse

Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: Find the total mass of a 5-m rod whose linear density function is p(x) = 3 + cos (Tx) kg/m for 0 < x...

A:

Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units ...

A:

Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...

Q: Graph the following functions : V4- x ,-2 s xs2 f(x) x-2 (-(x + 2),-2 sxs0 (1) 0sxS2 (2) y-4 sin3x

A:

Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: For mumbers 9- 10. Consider the probability distribution of the number of mangoes given below. R PIR...

A:

Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: 2. (D³ + 3D² – 4)y = 0 -

A:

Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 a. x = b.x =y* from y = 1 t...

A: As per the bartleby guidelines when student post multiple question we have to solve first one.so, i ...

Q: tan (log x) 2 dx 2 x(1+log*x)

A:

Q: find the centroid of the solid formed by revolving about the x-axis the solid formed by the curve x=...

A:

Q: Let f(x, y) = sin(x – y). Calculate the directional derivative of f in the direction of v = (1, 1) a...

A:

Q: Calculate the area of one petal of r = sin 40

A:

Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x2+8f(x)=x2...

A: Given problem:- Find the volume of the solid obtained by rotating the region enclosed by the curves ...

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the inverse of the function f

A: Follow the steps discussed in solution.

Q: In the adjoining figure u and V are unit vectors. Evaluate the following and input your numerical an...

A:

Q: Write a full soultion Let consider the following function: f (x) = 2(x + 1)^2 −8. a) Find the doma...

A: We have to find domain and range 

Q: Which of the following statements are true? Statement 1: Angles of 5° and-365° are coterminal. State...

A: To write the statements which are true. 

Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

A:

Q: f(x) = x2 + 4x – 5, x < -2 -

A:

Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

A:

Q: Let R be the region bounded by the curves y = (x- 2)' – 2, x = 0, and y = 25. Find the volume of the...

A:

Q: de dx = x(6x - 0) + (3x² –9).1 = 6x² + 3x² -9 = 9x -9 (x² -1) | II

A: We know that derivatives of xn is : d(xn)/dx = nxn-1. And product rule of derivatives is  d(U.V) = U...

Q: (a) Suppose the value of f(x) = e is known in x 0.98 and x = 1. Find the linear interpolation approx...

A:

Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

A:

Q: 22. Compute the given integral. S sin (2x)dx

A:

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections. Assum...

A: Solution: a=6, b=3, and c=4

Q: 3. The disk and cylindrical shell methods for calculating the volume of a solid of revolution always...

A:

Q: Find (with proof) all the triplets of integers a, b, c that satisfy a? + b² = 6c².

A: Note: (a,b,c) = (0,0,0) is the trivial solution. We will look for non-trivial solutions.  

Q: find the equations of the tangent and normal to the curve expressed in parametric form at the point ...

A:

Q: а. (у* — %3D0 2ху)dx + 3x?dy

A:

Q: cos (82)*da 3. %3D

A: To evaluate:∫cos8x3dx