4 find f'(3). x2 If f(x) =

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: 1 х-x? dx -8 2 V

A:

Q: r(10,3,3) dx (1,1,1) dy dz. - -

A:

Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.

Q: Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x 3

A: Given query is to find the value of c.

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method

Q: Q2: State and prove the first isomorphism theorem.

A:

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

A:

Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

A:

Q: Please

A: We will solve the integration.

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

A:

Q: 8) Find the limit (exact value) a) lim Vy - 3y – y ytoo tan ax b) lim- x→0 sin bx (a ±0,b± 0)

A:

Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: 7. SYVY² +9dy 5-2 8. S (5-1)(s-5)(s+3) ds

A: We have to evaluate the given integrals.

Q: 2 + In² x dx x(1 – In x)² 2

A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

A:

Q: |(4x – 3) In x dx

A: This question can be solved using the concept of integration by parts.

Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: Jが 10x° - 24メクt9 dx

A:

Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: lim メ→

A: This is a problem related to limit and continuity part. Please follow the procedure given below.

Q: Let B be the region in the first octant inside both x? + y + z? = 1 and x² + y² . a) Find the triple…

A: Let's find given all triple integrals.

Q: Determine the maximum curvature for the graph of f(x) = 5 In (x). The maximum curvature is at x =

A:

Q: 10. (x + 3x3 sin y)dx + (x* cos y)dy = 0

A:

Q: Use the tabular method to evaluate the integral |* + 2x – 1) cos(42)dx

A: Explanation of the answer is as follows

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

A:

Q: Evaluate 4 dx V4-x2

A: To find out the integration.

Q: Find the volume generated by revolving the area bounded by y =r,r=2, y = 0 about the line z = 2.…

A:

Q: Evaluate the integral: So V1+ 8xdx 3 *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the value of the integral.

Q: Use n= 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: The given integral is 5/x2 limit from 1 to 4.

Q: Solving Separable Equations: 1. dy - x-5 dx y2 2. = dx 3x²(1+ y?)

A:

Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

A:

Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

A:

Q: Find the vo lume oF the solid OF revolution when the regiON bounded by y = x +1, the solid X-axis,…

A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A: The objective of the question is determine the total distance .

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

A:

Q: 4 dx 4-x2 Evaluate

A:

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0ºK®1 where L is…

A:

Q: 8" n=1 /-

A: this is converegent so the sum S = 1/(1-8) S = -1/7 S = -0.1429

Q: 14 V1+ 7x dx

A:

Q: Q4) Find the largest eigen value for the matrix 1 2 A= with x" (0) =(7/17 1) 5 4

A: simply find eigen value of the matrix A , two eigen value of the matrix

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: (2r+1)dr 5. S r2+2r+1 3r+5

A: