a. Determine the equation of the tangent line to f(x) = 2-x² 1 + x b. Determine the equation of the normal to f(x) at (0, 2). form y = mx + b. at (0, 2). Write your answer in the

Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

A:

Q: 4) Find equations for the planes: a. The plane through P, (0, 2,-1) normal to n=3i-2j-k

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact`answer as an…

A:

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

A:

Q: Find lim h-0 f(8+h)-f(8) h if f(x)=x² +9.

A:

Q: Find the integration by using Partial fraction method x² + 2x + 1 (x² + 1)² dx

A:

Q: Use the graph of the function f shown to the right to find f(-1), f(0), and f(1). f(-1) =

A:

Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Topic = Derivative

Q: 2-¹ {; -} 18-7 s²+48 +9, In the process of calculating you obtain an equivalent expression given by:…

A:

Q: e. The line through (1,1,1) parallel to the z-axis.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3- (2x+y)dx + (x-2y)dy=0

A: If the differential equation is of the form Mdx+Ndy=0 which is exact thenSolution of the…

Q: Find the average rate of change of g(x) = 5x³ + 4 from x = - 4 to x = 4.

A:

Q: (0²-16)³/2 de A3

A:

Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = using the integrating factor µ(x,…

A:

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: Find the integrating factor e∫Pdx then find the general solution. 2x(y - x2)dx + dy = 0

A:

Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: 6t²+t-5 9. lim t-∞ 9-2t²

A: lim  (6t2 + t -5)/(9-2t2 ) t -->-∞ here question is of limit  and here we have to divide t2 by…

Q: Solve the given initial-value problem. y x = 6y², x(8) = 1 dy x(y) = Give the largest interval I…

A: To solve the initial value problem.

Q: Use implicit differentiation to find d²y = dx² d²y dx² if 8y+sin y = x.

A:

Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

A:

Q: /5 too dr Vx-1

A:

Q: 3. Does the parametric equation r = (2,-5,2) + s(1,4,2)+(-2,-3,1), s,/€ R, and the vector equation…

A:

Q: . Calculate the volumes of the solids of revolution as indicated below. Calculate the volume both…

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Topic = Derivative

Q: 1. Determine the area below f(x) = 8x - 2x² and above the x-axis. 2. Determine the area to the right…

A:

Q: Y=t-2√√x + X Find domin and ringe

A: In this question, we want to know the domain and range of the given function.

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

A:

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

A:

Q: R: y² = 4x, x² = 4y axis of revolution: x = 4

A:

Q: An expression that allows calculate the shaded region is? O a) * 9 (2) — ƒ (2)] dz - √ (c − 9 (2)]…

A: Topic = Application of Integration

Q: Write the equation for a cosecant function satisfying the given conditions. period: 5x; range: (-∞,…

A:

Q: How much would you need to deposit in an account now in order to have $3000 in the account in 5…

A:

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: 3x + 5, 13+¹6, Find a value of x, if any, at which f(x) = If f(x) is continuous for all values of x,…

A: Given: Notice that 3x+5 is continuous for x<4 and 13+16/x is continuous for x>4. Now, we need…

Q: ) Find the integration by using Partial fraction method ITY x² + 2x + 1 (x² + 1)² dx

A:

Q: a. S ((e'+4)²-9)3/2 -dt

A:

Q: Identify the open interval on which the function is increasing or decreasing. h(x) cos(쯤), 0 < x <…

A:

Q: A golf ball is launched into the air with an upward velocity of 81 feet per second. The height of…

A:

Q: 3 use the definition of latlace transforms to find £{+²H (E-5) } JINO

A:

Q: Name: Roll No.: Date: 1. Find the L.C.M. of x²-5x+6, x²-4x+3 and x²-3x+2 2. Find the H.C.F of:…

A: Concept: Venn diagram: A Venn diagram is a diagram that facilitates visualizing the logical…

Q: Find the derivative y = x tan^¹x − In √√1 + x²

A:

Q: 1. By using the method of variation of parameters, solve the following differential equation d²y +9y…

A:

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Let's find maximum and minimum rate of change.

Q: Y=t-2√√x + X

A:

Q: 2. Compute [²√x by first changing it to polar coordinates. 1 -√3x (x² + y²) ² dy dx

A:

Q: Given the function z=f(x,y)=2y³ −6xy − 3x² +2, find the following: a) Vf= b) Find all of the…

A:

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B