Q1:B/ Use l'Hôpital's rule to find the limits lim x-1 In x, x-1

Q: sin t (c) y = 1- cost

A: The given function,         y=sin t1-cos t

Q: Suppose an object in circular orbit stops in a position where sin(0) . The terminal point 11 is loca...

A:

Q: Q Tanco da

A:

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

A:

Q: Q1: Graph the function exponential function f(x) = 10 (4) where -2 > x > 5

A: Draw graph of given function. 

Q: y = 4+t-y, y(0) 1 (a) Find approximate values of the solution of the given initial value problem at ...

A: Let's find. 

Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

A:

Q: QUESTION 11 Find y" of y = X-1 y" = (x- 1)3 y" = -2 (x- 1)3 2 y": (x- 1)2 1 y" = (x-1)3 | %3D

A:

Q: り)

A:

Q: dxdy using inner limits 0 Evaluate: to y and outer limits 1 to 2. O a. 0.375 O b.0.71 Oc- 0.82 O d.3...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: A shoreline observation post is located on a cliff such that the observer is 290 feet above sea leve...

A:

Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Need help with completing two derivatives: For y = tx^2 + t^5 x I need to find dy/dx and dy/dt wit...

A:

Q: Find all the values of x such that the given series would converge. (2a)" n7 n=1 The series is conve...

A: The given series is: ∑n=1∞(2x)nn7...(1) Let, an=(2x)nn7; n≥1

Q: tank contains 200 liters of brine in which there are 3 kg of salt per liter. It is desired to dilute...

A:

Q: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

A: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

Q: Σ (-1)", n = 0 40

A:

Q: 1. Determine the following information regarding each function step by step and then sketch its grap...

A: Let's find. 

Q: Match the equivalent expressions. o tan(x) O cot(x) o sec (x) O 1– cos (x) a. sin"(x) + cos (x) b. s...

A: topic - trigonometric identities

Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

Q: Determine 2) if g) = csch (4x +3) %3D

A:

Q: Create an LOWER TRIANGULAR MATRIX using ROW operations. Show each step and the formulas used. Then, ...

A:   Given matrix  H:  1 6 5 8 8 -4 -4 -3 -5 3 -1 -2 5 -9 -5 7 -3 1 6 1 6 3 -7 -7 6

Q: Find the point on the line y = 6x closest to the point (1,0). (Use symbolic notation and fractions w...

A: Given :line : y=6xpoint closest to the point (1,0)

Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: ,(KGR) ther wise (a) Calculati te pointwise limit fen)alim fca).

A: Given

Q: For the given cost function C(x) = 57600 + 800x + x² find: a) The cost at the production level 1250 ...

A:

Q: If f(x) = 2 - and g(x) = then find (fo g)(3) %3D %3D 1+2

A:

Q: Evaluate the following integral. dx x(x² + 3) Can partial fraction decomposition be used to evaluate...

A:

Q: QUESTION 7 A curve has an equation of y = x - 6x² + 9x + 2. What is the slope of the curve at its po...

A: topic - slope of the curve

Q: Find the derivative and simplify: y = cotVt - 1 1 2tvt - 1 1 2t/t -1 tVE -1 1 tvt-1 QUESTION 9 SLL J...

A:

Q: dx 2x x2

A:

Q: Find Zx if z = In. In y 1 – In y Z x Zx = 1/x In y

A:

Q: Find the value of b for which the differential equation (yel0zv + x) dx + (bxe10wv) dy = 0 10xy is e...

A: Let's find. 

Q: 2. Find the family of orthogonal trajectories of the given family of curves in the following equatio...

A: x2+2y2=kf(x, y, k) = x2+2y2-k =0differentiating w.r.t  x,2x + 4y dydx-0=0dydx= -x2ysubstitute -dxdy ...

Q: Using differentials, determine the approximate increase in the surface area of a sphere if the radiu...

A: Topic:- application of derivatives

Q: Question Select your answer. Which of the following functions is continuous at any point 1 7 * = c? ...

A:

Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Using P test. And follow step 2nd . 

Q: Find all the values of x for which the given series converges. Use interval notation with exact valu...

A:

Q: Define a vector-valued function as follows: 7(t) = (cos t, 4, sin t). Which one of the following des...

A: Find your answer below 

Q: The graph of the equation x = D where D is any real number is a Plane parallel to the xz plane Plane...

A: here x=D where D is real number is the constant line equation so this line is parallel to yz plane b...

Q: Find an integrating factor and solve the equation у da + (3гy — e Sу) dy %3D 0. -

A:

Q: QUESTION 4 Find the equation of the tangent line to the curve at (1, 4). y = x' + O a. x = 1 O b.y =...

A:

Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second ...

A:

Q: 1 dx x2 + 3 3. dx x6 + 3 4. cos² (x) dx x² + 3 5. A. The integral is convergent B. The integral is d...

A:

Q: QUESTION 1 9dz 9dz The infinity in the can be eliminated by lim J2 (1- 32)4 t+ o'2 (1-3z)4 True Fals...

A:

Q: QUESTION 5 Using double integral, find the volume of the solid that lies below the surface given by ...

A:

Q: Evaluate the limit lim sec 3 1→ 10

A: Given problem:-

Q: Suppose f (z, y) = , P= (-4,-3) and v =-2i + 4j %3D %3D A. Find the gradient of f. Vf = i+ j Note: Y...

A: As per our guidelines we can answer only 3 subparts of a question, kindly repost the remaining quest...

Q: Find the lines that are tangent and normal to the curve at the given point. y = 7 sin (TX - y), (-1,...

A: