The slope of the tangent line is

Q: Solve the following differential equations of (x' +y')dx + (2xy + cos y)dy

A:

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) logg (x) lim In(x) X00

A:

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

A:

Q: Confirm that the force field F = xy'i+ x²yj is conservative in some open connected region containing…

A:

Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

A:

Q: 4), (-5, -7/4) 1) Yes 2) No

A:

Q: x² + y³. 2 = Consider the surface S of equation (1, 1, v), An equation for the tangent line tangent…

A: We have to find the equation of tangent line.

Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

Q: Find the derivative of the function at Po in the direction of u. X-y g(x,y) = Po(- 1,1), u= 12i + 5j…

A:

Q: Use Green's Theorem to evaluate the line integral. Iy? dx + xy C: boundary of the region lying…

A: A detailed solution is given below

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given query is to find the maximum profit.

Q: 10) Given f'(x) = 3x+ 2x + 1 and f(1) 4, determine ƒ(x). %3D %3D

A: Given f'(x)=3x²+2x+1....(i) and f(1)= 4...(ii)

Q: Verify the formula LF a ds = S cdiv F dV in the Divergence Theorem by evaluating the surface…

A:

Q: x2 + x – 2 At which value of x does the function f(x) have a removable discontinuity? g3 – 3x2 + 2x

A:

Q: dy 1. Find for the following: dr :b. y sin y = ry

A:

Q: x dx 2 /9 – 4x²

A: Using integration

Q: The distance a biker has traveled after t seconds can be modeled by f(t) feet and f(50) = 64. f'(t)…

A: f'(t) > 0 imply function increase with time.  f"(t)< 0 imply function is concave downward

Q: derivatives as functions of

A:

Q: Evaluate the indicated partial derivatives. z = 6a?y – 4a°y dz dz ду

A:

Q: The ellipse shown below has parametric equations x(t) = A cos t, y(t) = B sin t, 0 <t< 27.

A:

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: Solve the following

Q: Yz01003 b00 Cos07+3 2. 7) 300 Sing Y=0.002 Ysine dr do dø

A: A detailed solution is given below

Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. If so, find a potential…

A:

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+ 11 sin(t)j + tk; t= 2 T() - T N 2.

A:

Q: If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined…

A:

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A:

Q: 4. 3 + 5 + 7 + · · · + (2n + 1) = n(n + 2) ...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x, x = 1, and y = 0,…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: 6x 60. Find all local extreme values of f(x) The FIRST local extreme value, moving from left to…

A: Given that a function and we find the value of extreme local maxima and local minima.     Here i…

Q: Find an equation for the line that is tangent to the caurve y= 3x-3x at the point (-1,0). The…

A:

Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 28y - 21z = 1, -3x + 6y +…

A:

Q: Consider the plane curve given by the parametric equations x = t + 22t – 23 y = t2 + 22t – 5 -- What…

A:

Q: A company that produces cell phones has a cost function of C = 17x² – 444x + 18816, where C is the…

A: Given query is to find the number of units to minimize the cost.

Q: Dy evaluating both integrals Ne ду dA y² dx + x² dy Əx for the given path. C: rectangle with…

A: We will verify Greens theorem.

Q: B) Determine the net area for y on the interval %3D

A: Here is the solution:

Q: In the integration What is the value of u? xV1-4in?x a. u= 4ln² x In x b. u = 2 c. u = In x? d. u =…

A: The integration of the integral is  1/[x sqrt(1-4ln2x) ].

Q: Find all the values of x where the tangent line to the function f(x) = x° - 8x - 6x +2 is…

A: For horizontal tangent line dydx=0 Given :

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

A:

Q: latch the vector field with its graph. F(x, y) = yi -6 5 5 -5+

A: Given: F(x,y)=yi Find: graph of vector field

Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? Integration of…

A: Given ∫x dx9+x2

Q: Suppose f(x, y)= g(x)h(y), where g and h are continuously differentiable functions of one variable…

A:

Q: Find the arc length of the parametric curve. x = e', y = e, = V2t; 0<t< 2 L

A:

Q: Integrate the square root of sin (In x) dx * O x/2 [ sin (Inx) + cos (Inx)] + C x/2 [ sin (Inx) -…

A: Given

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: U Course Home x b My Questions | bartleby Math 148 weekend number 2.pdf x…

A: In multiple question we are allowed to answer only first one .and in multiple part question the…

Q: Determine the value of b:

A:

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. i.…

A: Topic:- application of integration