2 The function f is defined by fo= 2 for 15 2 x> -2. 8. @ find J, fexd dx

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: 0,-T <x<0 tsen x, 0sx < T 9. f(x) =

A:

Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: c. f(1) d. Is f differentiable at x = 3?

A: Given The graph of function f as  To find: c. f1d. is f differentiable at x=3?

Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: of and дх of Find for the following function. dy f(x.y) = (x' - 4) (8y + 7) of dx

A: To find ∂f∂x and ∂f∂y for the following function.fx, y=x5-48y+7

Q: Determine dz for z = f(x, y) = e^(x^2+y^2) if x changes from 1 to 1.02 and y changes from 2 to 2.1.

A: use formula :-    dz = fx(x,y)dx + fy(x,y)dy

Q: f(x) = 'dt th (2) 3=

A:

Q: 29 For /(x) %=Dx-웃, x <0, fnd (f-')'( - 꽃)· 6 4 29 (5Y(-) = help (numbers) 4

A: We first find x for which f(x)=-29/4

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: 4. Find f'(x), if f(x) = (2x – 8x²)-²(3x + 1). 5. If y is a twice differentiable function and x cos…

A: Differential equation. Solving only first ques as per bartleby guidelines.

Q: 9) Where is the function h(t) = (t + 5)"3 differentiable?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q2: Find dyidx for the following function:- (1) y = In(x + 4)-xtan (4) y =x*+1) (2) xy + x*y = x +…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Evaluate f[x(1-x*y² +xy )dydx. 01

A: To find the double integration

Q: dy for the following functions : dx 1. Find 3(x – 1) (ans.: 5) Sec² /2x +7 15) y=\tan /2x +7 (ans.:…

A:

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: dy =2xy with y(2) = 1. dx Find a function y = f(x) that satisfies

A: To find a function y=f(x) that satisfies dy/dx=2xy with y(2)=1

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: 4: Find the approximate value of f(-2.001, 1.002) where f(x, y) 3x?y + y? – xy +1

A:

Q: If; of t = x then at t=1 is (Note that these functions in N) dx

A:

Q: Tme grapi o y-JW) IS given below. 4 2 -3 - -1 2 3 4 5 6 -2 If L f(x)dx = 4.5, then f(x)dx = OA 1 O…

A:

Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…

A: EA = 0.0030056

Q: Use integration by parts with u=−5ln x and dv=xdx to find ∫−5xln x dx. Give only the function as…

A: Use integration by parts to find the integral as follows.

Q: Find dy/dx by implicit differentiation for the following.

A: Given expression: 5y2=4x-34x+3

Q: Evaluate. [4.3, 4.4] 20. x³ dx 21. 22. + x) dx 23. -dx Sx + 2, f(x) dx, where f(x) = 12 - Vx, for x>…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: Evaluate the function: S de x(x-2) -dx (x–1)³

A:

Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: dy Find dæ for implicit function x³ sin y – 3y4 = e4 + 6

A: Explanation and solutions is given below....

Q: The value of b makes the line y = 2x +b be tangent to the function f (x) = x² is O -1 none О 1 O 2

A: Tangent line related problem......

Q: Find the smallest positive c for which (c,0) is an x-intercept for the function f(x) = tan(1.58x).…

A:

Q: [ to y²-Xy flo dy 2

A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: Suppose y is a function of x. Find dy/dx. B only.

A: When there is variable in the base and in the power of a function, we follow the logarithmic…

Q: Q:: Find for the following functions: - dx 1- y = tan/2\2x+ 7 (x²+x)(x²-x+1) 2- y =

A:

Q: Evaluate dy for f(x)= (square root of x) +3 where x=9 and dx=0.12

A:

Q: Q5: Find for the following functions: dy dx (4) y = x sinh 2x - cosh 2x

A:

Q: ) Given the function f(x) derivative f"(1) with h, h/2 and h/4. 5. e Vx cos (Tx), approximate the…

A: Given function is  For this answer, we choose  We have  (up to 4 decimal place accuracy) We also…

Q: 14. Evaluate y" or d'y of the function when x = 0. dx'

A: To find the y'''for the given equation 13x3+13y3=132  at x=0

Q: Q3: Find dy/dx for Five of following functions: 1) y (x +1)5 2) y = sech'x

A: To Determine: find the derivative of the following Given: we have some functions  Explanation: we…

Q: Q4) Find dy /dx for the following functions: x+ tan(xy) = n y = xcosx

A: 1) x+tan(xy)=π Differentiating the function w.r.t. x:…

Q: Q2\A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Given that,

Q: Solve the following initial value problem for y as a function of x. dy X- 3Dx? -9, х23, у(3)%3D0

A: By using integration formulas

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: dy Find for implicit function x²cosy – 3y³ dx cot5x + 3 %D

A: We have to find derivative

Q: b) Find of the functions: dx 1: f(x)= tan (2x)Vī – 3x² %3D 10 2: x tan y + y" sec x 2x 3: y= csch'…

A:

Q: Find the smallest positive c for which (c,0) is an x-intercept for the function f(x) = tan(1.46x).…

A: The given function is: f(x)=tan(1.46x) To find the smallest positive c for which (c,0) is an…

Q: 3 If the length of the curve y = 4 xž from the point (0, 0) to the point (xo, f(xo)) is L = ((20737)…

A: Given,          The length of the curve y=4x32 from the point 0,0 to the point x0,fx0           is…

Q: find all possible functions with the givenderivative. y' = sin 2t + cost/2

A: we have to find all possible functions with the given derivative y'=sin2t+cost2. the given…

Q: For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

A:

Q: Q4) Find for the following functions (choose five only): dx 1. y 2x +e2x-1 2. y = secx tanx 3. y =…

A: